Nikola Bošković, Branislav Radjenović, Srdjan Nikolić, Marija Radmilović-Radjenović
Microwave ablation is becoming an increasingly important minimally invasive procedure that uses dielectric hysteresis to generate heat and destroy cancer cells. Tissue damage depends on the input power, procedure duration, and antenna position. Therefore, one of the essential problems is determining parameters that ensure the destruction of the tumor with the desired margins and minimal damage to the healthy tissue. In addition to experimental methods, computer modeling has been proven to be an effective approach for improving the performance of microwave ablation (MWA). Moreover, since the thermal spread in biological tissue is difficult to measure, the development of a predictive model from procedural planning to execution may have a great impact on patient care. This study focuses on determining the optimal parameters for MWA treatment of liver tumors using two identical parallel-positioned multi-slot coaxial antennas. The simulation results suggest that an input power of 20 W or 15 W per antenna suffices for complete tumor ablation with a sufficient safety margin for 600 and 900 s, respectively. In both cases, the created ablation zones were similar. The ablation zones for 15 W per antenna were more spherical, invading a smaller amount of healthy tissue than those for 20 W per antenna. This study may represent a step forward in planning MWA treatment for individual patients.
微波消融正成为一种日益重要的微创手术，它利用介电滞回产生热量并摧毁癌细胞。组织损伤取决于输入功率、手术持续时间和天线位置。因此，关键问题之一是确定参数，以确保以理想的边缘摧毁肿瘤，并将对健康组织的损害降至最低。除实验方法外，计算机建模已被证明是提高微波消融（MWA）性能的有效方法。此外，由于生物组织中的热扩散很难测量，因此开发一个从程序规划到执行的预测模型可能会对患者护理产生重大影响。本研究的重点是确定使用两个相同的平行定位多槽同轴天线进行肝脏肿瘤 MWA 治疗的最佳参数。模拟结果表明，每根天线的输入功率分别为 20 W 或 15 W，就足以在 600 秒和 900 秒内完全消融肿瘤，并留有足够的安全余量。在这两种情况下，产生的消融区相似。与每根天线 20 瓦的消融区相比，每根天线 15 瓦的消融区更加球形，侵入的健康组织更少。这项研究为规划针对个别患者的 MWA 治疗向前迈进了一步。
{"title":"Effectiveness of microwave ablation using two simultaneous antennas for liver malignancy treatment","authors":"Nikola Bošković, Branislav Radjenović, Srdjan Nikolić, Marija Radmilović-Radjenović","doi":"10.1515/phys-2024-0079","DOIUrl":"https://doi.org/10.1515/phys-2024-0079","url":null,"abstract":"Microwave ablation is becoming an increasingly important minimally invasive procedure that uses dielectric hysteresis to generate heat and destroy cancer cells. Tissue damage depends on the input power, procedure duration, and antenna position. Therefore, one of the essential problems is determining parameters that ensure the destruction of the tumor with the desired margins and minimal damage to the healthy tissue. In addition to experimental methods, computer modeling has been proven to be an effective approach for improving the performance of microwave ablation (MWA). Moreover, since the thermal spread in biological tissue is difficult to measure, the development of a predictive model from procedural planning to execution may have a great impact on patient care. This study focuses on determining the optimal parameters for MWA treatment of liver tumors using two identical parallel-positioned multi-slot coaxial antennas. The simulation results suggest that an input power of 20 W or 15 W per antenna suffices for complete tumor ablation with a sufficient safety margin for 600 and 900 s, respectively. In both cases, the created ablation zones were similar. The ablation zones for 15 W per antenna were more spherical, invading a smaller amount of healthy tissue than those for 20 W per antenna. This study may represent a step forward in planning MWA treatment for individual patients.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fractional stochastic differential equations (FSDEs) with fractional derivatives describe the anomalous diffusion processes by incorporating the memory effects and spatial heterogeneities of the porous medium. The stochastic component addresses the random nature of the fluid flow due to the variability in pore sizes and connectivity. The first objective of this research is to prove the well-posedness of a class of generalized proportional FSDEs, and we acquire the global existence and uniqueness of findings under certain settings that are coherent with the classic SDEs. The secondary purpose is to evaluate the continuity of findings in fractional-order formulations. The Carathéodory approximation is taken into account for a class of generalized proportional FSDEs, which is pivotal and provides well-known bounds on the norm of the solutions. Carathéodory’s approximation aids in approximating the FSDEs governing turbulent flows, ensuring the solutions are mathematically robust and physically meaningful. As is widely documented, the existence and uniqueness of solutions to certain types of differential equations can be formed under Lipschitz and linear growth conditions. Furthermore, a class of generalized proportional FSDEs with time delays is considered according to certain new requirements. With the aid of well-known inequalities and Itô isometry technique, the Ulam–Hyers stability of the analyzed framework is addressed utilizing Lipschitz and non-Lipschitz characteristics, respectively. Additionally, we provide two illustrative examples as applications to demonstrate the authenticity of our interpretations. The demonstrated outcomes will generalize some previously published findings. Finally, this deviation from fractional Brownian motion necessitates a model that can capture the subdiffusive or superdiffusive behavior.
{"title":"Analysis of a generalized proportional fractional stochastic differential equation incorporating Carathéodory's approximation and applications","authors":"Sobia Sultana","doi":"10.1515/phys-2024-0074","DOIUrl":"https://doi.org/10.1515/phys-2024-0074","url":null,"abstract":"Fractional stochastic differential equations (FSDEs) with fractional derivatives describe the anomalous diffusion processes by incorporating the memory effects and spatial heterogeneities of the porous medium. The stochastic component addresses the random nature of the fluid flow due to the variability in pore sizes and connectivity. The first objective of this research is to prove the well-posedness of a class of generalized proportional FSDEs, and we acquire the global existence and uniqueness of findings under certain settings that are coherent with the classic SDEs. The secondary purpose is to evaluate the continuity of findings in fractional-order formulations. The Carathéodory approximation is taken into account for a class of generalized proportional FSDEs, which is pivotal and provides well-known bounds on the norm of the solutions. Carathéodory’s approximation aids in approximating the FSDEs governing turbulent flows, ensuring the solutions are mathematically robust and physically meaningful. As is widely documented, the existence and uniqueness of solutions to certain types of differential equations can be formed under Lipschitz and linear growth conditions. Furthermore, a class of generalized proportional FSDEs with time delays is considered according to certain new requirements. With the aid of well-known inequalities and Itô isometry technique, the Ulam–Hyers stability of the analyzed framework is addressed utilizing Lipschitz and non-Lipschitz characteristics, respectively. Additionally, we provide two illustrative examples as applications to demonstrate the authenticity of our interpretations. The demonstrated outcomes will generalize some previously published findings. Finally, this deviation from fractional Brownian motion necessitates a model that can capture the subdiffusive or superdiffusive behavior.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiangning Zhou, Muhammad Amer Qureshi, Nargis Khan, Wasim Jamshed, Siti Suzilliana Putri Mohamed Isa, Nanthini Balakrishnan, Syed M. Hussain
In this work, the Marangoni convective flow of magnetohydrodynamic tangent hyperbolic (Fe3O4−Cu/{{rm{F}}{{rm{e}}}_{3}{rm{O}}}_{4}-{rm{Cu}}/ethylene glycol) hybrid nanofluids over a plate dipped in a permeable material with heat absorption/generation, heat radiation, elastic deformation and viscous dissipation is discussed. The impact of activation energy is also examined. Hybrid nanofluids are regarded as advanced nanofluids due to the thermal characteristics and emerging advantages that support the desire to augment the rate of heat transmission. The generalized Cattaneo–Christov theory, which takes into account the significance of relaxation times, is modified for the phenomena of mass and heat transfer. The fundamental governing partial differential equations are converted to ordinary differential equations (ODEs) by adopting similarity variables. The Runge–Kutta–Fehlberg-45 technique is utilized to solve nonlinear ODEs. Regarding the non-dimensional embedded parameters, a graphic investigation of the thermal field, concentration distribution, and velocity profile is performed. The results show that the increasing Marangoni ratio parameter enhances velocity and concentration distributions while decreases the temperature distribution. The velocity profile is decreased and the efficiency of heat transfer is improved as the porosity parameter is increased. Nusselt number is diminished with the rising values of the porosity variable.
本研究讨论了磁流体切线双曲线（F e 3 O 4 - Cu / {{rm{F}}{{rm{e}}}_{3}{rm{O}}}_{4}-{rm{Cu}}/ 乙二醇）混合纳米流体在浸入透气材料的板上的马兰戈尼对流，包括吸热/生热、热辐射、弹性变形和粘性耗散。还研究了活化能的影响。混合纳米流体因其热学特性和新出现的优势而被视为先进的纳米流体，这些特性和优势有助于提高热传导率。考虑到弛豫时间重要性的广义卡塔尼奥-克里斯托夫理论针对传质和传热现象进行了修改。通过采用相似变量，将基本控制偏微分方程转换为常微分方程。利用 Runge-Kutta-Fehlberg-45 技术求解非线性 ODE。关于非尺寸嵌入参数，对热场、浓度分布和速度剖面进行了图解研究。结果表明，增加马兰戈尼比率参数会增强速度和浓度分布，同时降低温度分布。随着孔隙率参数的增大，速度曲线减小，传热效率提高。努塞尔特数随着孔隙率变量值的增加而减小。
{"title":"Thermosolutal Marangoni convective flow of MHD tangent hyperbolic hybrid nanofluids with elastic deformation and heat source","authors":"Xiangning Zhou, Muhammad Amer Qureshi, Nargis Khan, Wasim Jamshed, Siti Suzilliana Putri Mohamed Isa, Nanthini Balakrishnan, Syed M. Hussain","doi":"10.1515/phys-2024-0082","DOIUrl":"https://doi.org/10.1515/phys-2024-0082","url":null,"abstract":"In this work, the Marangoni convective flow of magnetohydrodynamic tangent hyperbolic (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0082_eq_001.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:msub> <m:mrow> <m:mi mathvariant=\"normal\">F</m:mi> <m:msub> <m:mrow> <m:mi mathvariant=\"normal\">e</m:mi> </m:mrow> <m:mrow> <m:mn>3</m:mn> </m:mrow> </m:msub> <m:mi mathvariant=\"normal\">O</m:mi> </m:mrow> <m:mrow> <m:mn>4</m:mn> </m:mrow> </m:msub> <m:mo>−</m:mo> <m:mi mathvariant=\"normal\">Cu</m:mi> <m:mo>/</m:mo> </m:math> <jats:tex-math>{{rm{F}}{{rm{e}}}_{3}{rm{O}}}_{4}-{rm{Cu}}/</jats:tex-math> </jats:alternatives> </jats:inline-formula>ethylene glycol) hybrid nanofluids over a plate dipped in a permeable material with heat absorption/generation, heat radiation, elastic deformation and viscous dissipation is discussed. The impact of activation energy is also examined. Hybrid nanofluids are regarded as advanced nanofluids due to the thermal characteristics and emerging advantages that support the desire to augment the rate of heat transmission. The generalized Cattaneo–Christov theory, which takes into account the significance of relaxation times, is modified for the phenomena of mass and heat transfer. The fundamental governing partial differential equations are converted to ordinary differential equations (ODEs) by adopting similarity variables. The Runge–Kutta–Fehlberg-45 technique is utilized to solve nonlinear ODEs. Regarding the non-dimensional embedded parameters, a graphic investigation of the thermal field, concentration distribution, and velocity profile is performed. The results show that the increasing Marangoni ratio parameter enhances velocity and concentration distributions while decreases the temperature distribution. The velocity profile is decreased and the efficiency of heat transfer is improved as the porosity parameter is increased. Nusselt number is diminished with the rising values of the porosity variable.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Subhajit Panda, Pradyumna Kumar Pattnaik, Satya Ranjan Mishra, Shalan Alkarni, Nehad Ali Shah
The study aims to investigate the heat transfer efficiency in a hybrid nanofluid flow consisting of silver–molybdenum tetra sulphide (Ag–MoS4) with variable magnetism. The Yamada–Ota model is incorporated to account for viscous dissipation and heat source/sink effects, providing a comprehensive understanding of the fluid flow characteristics. However, the dissipative heat along with thermal radiation combined with the hybrid particles enriches the flow properties. The proposed model is simplified to its corresponding non-dimensional form for using proper similarity rules, and the set of transformed problems is handled numerically by employing the in-house MATLAB function bvp5c. The research utilizes a new statistical approach based on response surface methodology (RSM) and sensitivity evaluation to enhance the overall heat transmission performance. The work is conducted to obtain the relevant data on heat transfer rate. The concentration of nanoparticles, thermal radiation, and heat source are selected as the key parameters affecting the heat transfer efficiency. RSM is employed to optimize these parameters and determine the optimal conditions for enhanced heat transfer rate. Furthermore, the sensitivity analysis is performed to evaluate the efficiency of individual parameters on heat transportation. The findings of this study demonstrate that the hybrid nanofluid flow of Ag–MoS4 exhibits improved heat transfer efficiency compared to conventional fluids. Further, the Yamada–Ota conductivity model is also influential in enhancing the heat transfer properties.
{"title":"Improving heat transfer efficiency via optimization and sensitivity assessment in hybrid nanofluid flow with variable magnetism using the Yamada–Ota model","authors":"Subhajit Panda, Pradyumna Kumar Pattnaik, Satya Ranjan Mishra, Shalan Alkarni, Nehad Ali Shah","doi":"10.1515/phys-2024-0075","DOIUrl":"https://doi.org/10.1515/phys-2024-0075","url":null,"abstract":"The study aims to investigate the heat transfer efficiency in a hybrid nanofluid flow consisting of silver–molybdenum tetra sulphide (Ag–MoS<jats:sub>4</jats:sub>) with variable magnetism. The Yamada–Ota model is incorporated to account for viscous dissipation and heat source/sink effects, providing a comprehensive understanding of the fluid flow characteristics. However, the dissipative heat along with thermal radiation combined with the hybrid particles enriches the flow properties. The proposed model is simplified to its corresponding non-dimensional form for using proper similarity rules, and the set of transformed problems is handled numerically by employing the in-house MATLAB function bvp5c. The research utilizes a new statistical approach based on response surface methodology (RSM) and sensitivity evaluation to enhance the overall heat transmission performance. The work is conducted to obtain the relevant data on heat transfer rate. The concentration of nanoparticles, thermal radiation, and heat source are selected as the key parameters affecting the heat transfer efficiency. RSM is employed to optimize these parameters and determine the optimal conditions for enhanced heat transfer rate. Furthermore, the sensitivity analysis is performed to evaluate the efficiency of individual parameters on heat transportation. The findings of this study demonstrate that the hybrid nanofluid flow of Ag–MoS<jats:sub>4</jats:sub> exhibits improved heat transfer efficiency compared to conventional fluids. Further, the Yamada–Ota conductivity model is also influential in enhancing the heat transfer properties.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yangshuo Liu, Xingyong Gao, Mingjiang Han, Huanan Wei, Hao Luo
Shear thickening fluid (STF)-impregnated Kevlar fabric can be used as “Liquid armor” for the protection of weapons and equipment. The concentration of dispersed phase in STF and the fabric structure are important factors that affect the mechanical properties of composites. To obtain the mechanical properties of Kevlar fabric impregnated with STF, nano-sized silicon dioxide particles (SiO2) and Polyethylene glycol were used as dispersing phase and dispersing medium, respectively, by impregnating Kevlar fabrics with 2D planar and three-dimensional (3D) angular interlock structure, fiber-reinforced composite fabrics impregnated with STF with different physical structures were obtained. The results show that the shear thickening behavior of STF is the most obvious when the concentration of STF is 60%. In addition, fabric structure and STF concentration play an active role in the mechanical properties of STF/Kevlar fiber reinforced composites. Compared with pure Kevlar fabric, the maximum tensile load and the maximum puncture load of the three-dimensional angular interlocking structure of STF/Kevlar fiber reinforced composites are increased by more than 13,000 N and 120 N, respectively. The research results can provide theoretical support for the mechanical properties of STF/Kevlar fiber-reinforced composites and individual protection research.
{"title":"Study on dynamic and static tensile and puncture-resistant mechanical properties of impregnated STF multi-dimensional structure Kevlar fiber reinforced composites","authors":"Yangshuo Liu, Xingyong Gao, Mingjiang Han, Huanan Wei, Hao Luo","doi":"10.1515/phys-2024-0065","DOIUrl":"https://doi.org/10.1515/phys-2024-0065","url":null,"abstract":"Shear thickening fluid (STF)-impregnated Kevlar fabric can be used as “Liquid armor” for the protection of weapons and equipment. The concentration of dispersed phase in STF and the fabric structure are important factors that affect the mechanical properties of composites. To obtain the mechanical properties of Kevlar fabric impregnated with STF, nano-sized silicon dioxide particles (SiO<jats:sub>2</jats:sub>) and Polyethylene glycol were used as dispersing phase and dispersing medium, respectively, by impregnating Kevlar fabrics with 2D planar and three-dimensional (3D) angular interlock structure, fiber-reinforced composite fabrics impregnated with STF with different physical structures were obtained. The results show that the shear thickening behavior of STF is the most obvious when the concentration of STF is 60%. In addition, fabric structure and STF concentration play an active role in the mechanical properties of STF/Kevlar fiber reinforced composites. Compared with pure Kevlar fabric, the maximum tensile load and the maximum puncture load of the three-dimensional angular interlocking structure of STF/Kevlar fiber reinforced composites are increased by more than 13,000 N and 120 N, respectively. The research results can provide theoretical support for the mechanical properties of STF/Kevlar fiber-reinforced composites and individual protection research.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Syed M. Hussain, Kashif Ali, Sohail Ahmad, Muhammad Amer Qureshi, Assmaa Abd-Elmonem, Wasim Jamshed, Ibrahim Alraddadi
This research endeavors to conduct an examination of the thermal characteristics within the duct filled with the copper nanoparticles and water as base fluid. In exhaust systems, like car exhausts, chimneys, and kitchen hoods, duct flows are crucial. These systems safely discharge odors, smoke, and contaminants into the atmosphere after removing them from enclosed places. The study focuses on a laminar flow regime that is both hydrodynamically and thermally developed, with a specified constraints at any cross-sectional plane. To address this, we employ the finite volume method as it stands as a judicious choice, offering a balance between computational efficiency and solution accuracy. Notably, we have observed that the deceleration of flow induced by elevated Rayleigh numbers can be effectively regulated by the application of an appropriately calibrated external magnetic field. The prime parameters of the problem with ranges are: pressure gradient <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0070_eq_001.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>≤</m:mo> <m:msub> <m:mrow> <m:mi>p</m:mi> </m:mrow> <m:mrow> <m:mn>0</m:mn> </m:mrow> </m:msub> <m:mo>≤</m:mo> <m:mn>100</m:mn> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> <jats:tex-math>(1le {p}_{0}le 100)</jats:tex-math> </jats:alternatives> </jats:inline-formula>, Hartmann number <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0070_eq_002.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>0</m:mn> <m:mo>≤</m:mo> <m:mtext>Ha</m:mtext> <m:mo>≤</m:mo> <m:mn>50</m:mn> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> <jats:tex-math>(0le text{Ha}le 50)</jats:tex-math> </jats:alternatives> </jats:inline-formula>, Rayleigh number <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0070_eq_003.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>,</m:mo> <m:mn>000</m:mn> <m:mo>≤</m:mo> <m:mtext>Ra</m:mtext> <m:mo>≤</m:mo> <m:mn>40</m:mn> <m:mo>,</m:mo> <m:mn>000</m:mn> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> <jats:tex-math>(1,000le text{Ra}le 40,000)</jats:tex-math> </jats:alternatives> </jats:inline-formula>, and magnetic parameter <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0070_eq_004.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>0</m:mn> <m:mo>≤</m:mo> <m:mi>M</m:mi> <m:mo>≤</m:mo> <m:mn>50</m:mn> <
本研究试图对充满纳米铜颗粒和水作为基液的管道内的热特性进行研究。在汽车尾气、烟囱和厨房抽油烟机等排气系统中，管道流量至关重要。这些系统将异味、烟雾和污染物从封闭的地方清除后，安全地排放到大气中。研究的重点是流体力学和热学发展的层流机制，在任何横截面上都有特定的约束条件。为此，我们采用了有限体积法，因为它是一种明智的选择，能在计算效率和求解精度之间取得平衡。值得注意的是，我们观察到，通过应用适当校准的外部磁场，可以有效调节因雷利数升高而引起的流动减速。问题的主要参数范围是：压力梯度（ 1 ≤ p 0 ≤ 100 ）（ 1le {p}_{0}le 100），哈特曼数（ 0 ≤ Ha ≤ 50 ）（ 0le text{Ha}le 50），瑞利数（ 1 , 000 ≤ Ra ≤ 40 , 000 ）（ 1,000le text{Ra}le 40,000），以及磁参数（ 0 ≤ M ≤ 50 ）（ 0le Mle 50）。此外，我们的分析表明，努塞尔特数与纳米颗粒体积分数参数几乎呈线性相关，这一趋势在雷利数和磁参数值范围内都能观察到。我们注意到，仅 20% 的纳米粒子体积分数就能使努塞尔特数上升 62%，同时使系数 f Re 下降近 50%。这一研究框架为理解划定系统中磁性影响和热-水力行为之间错综复杂的相互作用奠定了坚实的基础。
{"title":"Characterizing magnetohydrodynamic effects on developed nanofluid flow in an obstructed vertical duct under constant pressure gradient","authors":"Syed M. Hussain, Kashif Ali, Sohail Ahmad, Muhammad Amer Qureshi, Assmaa Abd-Elmonem, Wasim Jamshed, Ibrahim Alraddadi","doi":"10.1515/phys-2024-0070","DOIUrl":"https://doi.org/10.1515/phys-2024-0070","url":null,"abstract":"This research endeavors to conduct an examination of the thermal characteristics within the duct filled with the copper nanoparticles and water as base fluid. In exhaust systems, like car exhausts, chimneys, and kitchen hoods, duct flows are crucial. These systems safely discharge odors, smoke, and contaminants into the atmosphere after removing them from enclosed places. The study focuses on a laminar flow regime that is both hydrodynamically and thermally developed, with a specified constraints at any cross-sectional plane. To address this, we employ the finite volume method as it stands as a judicious choice, offering a balance between computational efficiency and solution accuracy. Notably, we have observed that the deceleration of flow induced by elevated Rayleigh numbers can be effectively regulated by the application of an appropriately calibrated external magnetic field. The prime parameters of the problem with ranges are: pressure gradient <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0070_eq_001.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>≤</m:mo> <m:msub> <m:mrow> <m:mi>p</m:mi> </m:mrow> <m:mrow> <m:mn>0</m:mn> </m:mrow> </m:msub> <m:mo>≤</m:mo> <m:mn>100</m:mn> </m:mrow> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> </m:math> <jats:tex-math>(1le {p}_{0}le 100)</jats:tex-math> </jats:alternatives> </jats:inline-formula>, Hartmann number <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0070_eq_002.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mrow> <m:mn>0</m:mn> <m:mo>≤</m:mo> <m:mtext>Ha</m:mtext> <m:mo>≤</m:mo> <m:mn>50</m:mn> </m:mrow> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> </m:math> <jats:tex-math>(0le text{Ha}le 50)</jats:tex-math> </jats:alternatives> </jats:inline-formula>, Rayleigh number <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0070_eq_003.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>,</m:mo> <m:mn>000</m:mn> <m:mo>≤</m:mo> <m:mtext>Ra</m:mtext> <m:mo>≤</m:mo> <m:mn>40</m:mn> <m:mo>,</m:mo> <m:mn>000</m:mn> </m:mrow> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> </m:math> <jats:tex-math>(1,000le text{Ra}le 40,000)</jats:tex-math> </jats:alternatives> </jats:inline-formula>, and magnetic parameter <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0070_eq_004.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mrow> <m:mn>0</m:mn> <m:mo>≤</m:mo> <m:mi>M</m:mi> <m:mo>≤</m:mo> <m:mn>50</m:mn> <","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Spacecraft models that mimic the Planck satellite’s behaviour have produced information on cosmic microwave background radiation, assisting physicists in their understanding of the composition and expansion of the universe. For achieving the intended formation, a framework for a discrete fractional difference spacecraft model is constructed by the use of a discrete nabla operator of variable order containing the Mittag–Leffler kernel. The efficacy of the suggested framework is evaluated employing a numerical simulation of the concerning dynamic systems of motion while taking into account multiple considerations such as exterior disruptions, parameterized variations, time-varying feedback delays, and actuator defects. The implementation of the Banach fixed-point approach provides sufficient requirements for the presence of the solution as well as a distinctive feature for such mechanisms Furthermore, the consistent stability is examined. With the aid of discrete nabla operators, we monitor the qualitative behavioural patterns of spacecraft systems to provide justification for structure’s chaos. We acquire the fixed points of the proposed trajectory. At each fixed point, we calculate the eigenvalue of the spacecraft system’s Jacobian matrix and check for zones of instability. The outcomes exhibit a wide range of multifaceted behaviours resulting from the interaction with various fractional orders in the offered system. To maintain stability and synchronize the system, nonlinear controllers are additionally provided. The study highlights the technique’s vulnerability to fractional-order factors, resulting in exclusive, changing trends and equilibrium frameworks. Because of its diverse and convoluted behaviour, the spacecraft chaotic model is an intriguing and crucial subject for research.
{"title":"Robustness and dynamical features of fractional difference spacecraft model with Mittag–Leffler stability","authors":"Sobia Sultana","doi":"10.1515/phys-2024-0066","DOIUrl":"https://doi.org/10.1515/phys-2024-0066","url":null,"abstract":"Spacecraft models that mimic the Planck satellite’s behaviour have produced information on cosmic microwave background radiation, assisting physicists in their understanding of the composition and expansion of the universe. For achieving the intended formation, a framework for a discrete fractional difference spacecraft model is constructed by the use of a discrete nabla operator of variable order containing the Mittag–Leffler kernel. The efficacy of the suggested framework is evaluated employing a numerical simulation of the concerning dynamic systems of motion while taking into account multiple considerations such as exterior disruptions, parameterized variations, time-varying feedback delays, and actuator defects. The implementation of the Banach fixed-point approach provides sufficient requirements for the presence of the solution as well as a distinctive feature for such mechanisms Furthermore, the consistent stability is examined. With the aid of discrete nabla operators, we monitor the qualitative behavioural patterns of spacecraft systems to provide justification for structure’s chaos. We acquire the fixed points of the proposed trajectory. At each fixed point, we calculate the eigenvalue of the spacecraft system’s Jacobian matrix and check for zones of instability. The outcomes exhibit a wide range of multifaceted behaviours resulting from the interaction with various fractional orders in the offered system. To maintain stability and synchronize the system, nonlinear controllers are additionally provided. The study highlights the technique’s vulnerability to fractional-order factors, resulting in exclusive, changing trends and equilibrium frameworks. Because of its diverse and convoluted behaviour, the spacecraft chaotic model is an intriguing and crucial subject for research.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Baboucarr Ceesay, Nauman Ahmed, Jorge E. Macías-Díaz
This study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE). This work explores the complex dynamics of sediment transport, erosion, and coastal stability influenced by different wave structures using the Hirota bilinear transformation as a basic analytical tool. By providing insightful information about how these wave patterns impact coastal stability, it seeks to broaden our knowledge of dynamic coastlines. As we explore the intricate interactions between water waves and beaches, the knowledge gained from this research could help direct sustainable coastal management and preservation initiatives. For convenience, a range of M-shaped wave structures are depicted, demonstrating the adaptability of the Hirota bilinear transformation approach in recognizing novel wave patterns. Overall, this work contributes to a better understanding of the dynamics of the coastal environment, highlights the wide range of applications for mathematical models in science and engineering, and helps to develop more sensible and practical coastal management and conservation strategies for the protection of coastal areas against changing water wave patterns. Finally, as far as the authors could verify, this is the first work in the literature in which M-shaped soliton solutions are derived for the MRLWE using any method.
本研究考察了修正正则化长波方程（MRLWE）中各种 M 型水波形状对沿岸环境的影响。这项研究以 Hirota 双线性变换为基本分析工具，探讨了不同波浪结构对沉积物输运、侵蚀和沿岸稳定性的复杂动态影响。通过提供有关这些波浪模式如何影响海岸稳定性的有洞察力的信息，它试图拓宽我们对动态海岸线的认识。在我们探索水波与海滩之间错综复杂的相互作用时，从这项研究中获得的知识有助于指导可持续的海岸管理和保护措施。为方便起见，我们描绘了一系列 M 型波浪结构，展示了 Hirota 双线性变换方法在识别新颖波浪模式方面的适应性。总之，这项工作有助于更好地理解沿岸环境的动态变化，突出了数学模型在科学和 工程领域的广泛应用，有助于制定更加合理和实用的沿岸管理和保护战略，以保护沿岸地 区免受不断变化的水波模式的影响。最后，据作者考证，这是文献中首次用任何方法推导出 MRLWE 的 M 形孤子解。
{"title":"Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method","authors":"Baboucarr Ceesay, Nauman Ahmed, Jorge E. Macías-Díaz","doi":"10.1515/phys-2024-0057","DOIUrl":"https://doi.org/10.1515/phys-2024-0057","url":null,"abstract":"This study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE). This work explores the complex dynamics of sediment transport, erosion, and coastal stability influenced by different wave structures using the Hirota bilinear transformation as a basic analytical tool. By providing insightful information about how these wave patterns impact coastal stability, it seeks to broaden our knowledge of dynamic coastlines. As we explore the intricate interactions between water waves and beaches, the knowledge gained from this research could help direct sustainable coastal management and preservation initiatives. For convenience, a range of M-shaped wave structures are depicted, demonstrating the adaptability of the Hirota bilinear transformation approach in recognizing novel wave patterns. Overall, this work contributes to a better understanding of the dynamics of the coastal environment, highlights the wide range of applications for mathematical models in science and engineering, and helps to develop more sensible and practical coastal management and conservation strategies for the protection of coastal areas against changing water wave patterns. Finally, as far as the authors could verify, this is the first work in the literature in which M-shaped soliton solutions are derived for the MRLWE using any method.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhenpeng He, Tao Huang, Zhenxing Bao, Ziyi Lei, Baoshen Zhang, Gui Luo, Meng Cai
The flow and heat transfer characteristics of the fluid in the combustor were investigated using numerical simulation in this study. The physical properties of the cooling airflow were fully utilized, and the structure of the combustor was improved. Film hole with novel structure (arc-shaped slot hole) was proposed and compared with cylindrical hole. The optimization schemes for the combustor liner structure were established, in the meanwhile, the influence of different inclinations and slot depths on the temperature distribution of the combustor liner wall was investigated. Compared with the original structure, the average temperature of the target cooling zones in these optimized schemes are reduced by a minimum of 15.12% (227.1 K) and a maximum of 20.65% (351.6 K). A new assessment model (weighted average temperature assessment model) was proposed to provide an effective assessment of the overall cooling effect. The following conclusions were arrived at: high temperature in localized areas is an important reason for the damage of combustor liner wall. Compared to cylindrical hole, the cooling performance of arc-shaped slot hole is better. When the hole type is the same, the larger inclination has higher jet height than the smaller inclination, and the cooling effect is worse. Increasing the slot depth h can improve the cooling efficiency.
本研究利用数值模拟对燃烧器内流体的流动和传热特性进行了研究。充分利用了冷却气流的物理特性，并改进了燃烧器的结构。提出了结构新颖的薄膜孔（弧形槽孔），并与圆柱形孔进行了比较。建立了燃烧器内衬结构的优化方案，同时研究了不同倾角和槽深对燃烧器内衬壁温度分布的影响。与原始结构相比，这些优化方案中目标冷却区的平均温度最低降低了 15.12% (227.1 K)，最高降低了 20.65% (351.6 K)。为有效评估整体冷却效果，提出了一个新的评估模型（加权平均温度评估模型）。得出以下结论：局部区域温度过高是造成燃烧器衬壁损坏的重要原因。与圆柱孔相比，弧形槽孔的冷却效果更好。在孔型相同的情况下，倾斜度大的喷射高度比倾斜度小的高，冷却效果差。增加槽深 h 可以提高冷却效率。
{"title":"Research on optimization of combustor liner structure based on arc-shaped slot hole","authors":"Zhenpeng He, Tao Huang, Zhenxing Bao, Ziyi Lei, Baoshen Zhang, Gui Luo, Meng Cai","doi":"10.1515/phys-2024-0072","DOIUrl":"https://doi.org/10.1515/phys-2024-0072","url":null,"abstract":"The flow and heat transfer characteristics of the fluid in the combustor were investigated using numerical simulation in this study. The physical properties of the cooling airflow were fully utilized, and the structure of the combustor was improved. Film hole with novel structure (arc-shaped slot hole) was proposed and compared with cylindrical hole. The optimization schemes for the combustor liner structure were established, in the meanwhile, the influence of different inclinations and slot depths on the temperature distribution of the combustor liner wall was investigated. Compared with the original structure, the average temperature of the target cooling zones in these optimized schemes are reduced by a minimum of 15.12% (227.1 K) and a maximum of 20.65% (351.6 K). A new assessment model (weighted average temperature assessment model) was proposed to provide an effective assessment of the overall cooling effect. The following conclusions were arrived at: high temperature in localized areas is an important reason for the damage of combustor liner wall. Compared to cylindrical hole, the cooling performance of arc-shaped slot hole is better. When the hole type is the same, the larger inclination has higher jet height than the smaller inclination, and the cooling effect is worse. Increasing the slot depth <jats:italic>h</jats:italic> can improve the cooling efficiency.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article, the phase portraits, chaotic patterns, and traveling wave solutions of the conformable extended Korteweg–de-Vries (KdV) model are investigated. First, the conformal fractional order extended KdV model is transformed into ordinary differential equation through traveling wave transformation. Second, two-dimensional (2D) planar dynamical system is presented and its chaotic behavior is studied by using the planar dynamical system method. Moreover, some three-dimensional (3D), 2D phase portraits and the Lyapunov exponent diagram are drawn. Finally, many meaningful solutions are constructed by using the complete discriminant system method, which include rational, trigonometric, hyperbolic, and Jacobi elliptic function solutions. In order to facilitate readers to see the impact of fractional order changes more intuitively, Maple software is used to draw 2D graphics, 3D graphics, density plots, contour plots, and comparison charts of some obtained solutions.
本文研究了共形扩展 Korteweg-de-Vries （KdV）模型的相位肖像、混沌模式和行波解。首先，通过行波变换将保角分数阶扩展 KdV 模型转化为常微分方程。其次，提出了二维（2D）平面动力系统，并利用平面动力系统方法研究了其混沌行为。此外，还绘制了一些三维（3D）、二维相位图和 Lyapunov 指数图。最后，利用完全判别式系统方法构建了许多有意义的解，其中包括有理函数、三角函数、双曲函数和雅可比椭圆函数解。为了便于读者更直观地了解分数阶变化的影响，本书使用 Maple 软件绘制了一些所得解的二维图形、三维图形、密度图、等值线图和对比图。
{"title":"The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model","authors":"Chunyan Liu","doi":"10.1515/phys-2024-0069","DOIUrl":"https://doi.org/10.1515/phys-2024-0069","url":null,"abstract":"In this article, the phase portraits, chaotic patterns, and traveling wave solutions of the conformable extended Korteweg–de-Vries (KdV) model are investigated. First, the conformal fractional order extended KdV model is transformed into ordinary differential equation through traveling wave transformation. Second, two-dimensional (2D) planar dynamical system is presented and its chaotic behavior is studied by using the planar dynamical system method. Moreover, some three-dimensional (3D), 2D phase portraits and the Lyapunov exponent diagram are drawn. Finally, many meaningful solutions are constructed by using the complete discriminant system method, which include rational, trigonometric, hyperbolic, and Jacobi elliptic function solutions. In order to facilitate readers to see the impact of fractional order changes more intuitively, Maple software is used to draw 2D graphics, 3D graphics, density plots, contour plots, and comparison charts of some obtained solutions.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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