The generalization of the classical FitzHugh–Nagumo model provides a more accurate description of the physical phenomena of neurons by incorporating both nonlinearity and fractional derivatives. In this article, we present a numerical method for solving the time-fractional FitzHugh–Nagumo equation (TFFNE) in the sense of the Atangana–Baleanu fractional derivative using B-spline functions. The proposed method employs a finite difference scheme to discretize the fractional derivative in time, while θtheta -weighted scheme is used to discretize the space directions. The efficiency of the scheme is demonstrated through numerical results and rate of convergence. The convergence order and error norms are studied at different values of the noninteger parameter, temporal directions, and spatial directions. Finally, the effectiveness of the proposed methodology is examined through the analysis of three applications.
{"title":"Numerical solutions of generalized Atangana–Baleanu time-fractional FitzHugh–Nagumo equation using cubic B-spline functions","authors":"Afzaal Mubashir Hayat, Muhammad Abbas, Farah Aini Abdullah, Tahir Nazir, Hamed Ould Sidi, Homan Emadifar, Amani Alruwaili","doi":"10.1515/phys-2023-0120","DOIUrl":"https://doi.org/10.1515/phys-2023-0120","url":null,"abstract":"The generalization of the classical FitzHugh–Nagumo model provides a more accurate description of the physical phenomena of neurons by incorporating both nonlinearity and fractional derivatives. In this article, we present a numerical method for solving the time-fractional FitzHugh–Nagumo equation (TFFNE) in the sense of the Atangana–Baleanu fractional derivative using B-spline functions. The proposed method employs a finite difference scheme to discretize the fractional derivative in time, while <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2023-0120_eq_001.png\" /> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>θ</m:mi> </m:math> <jats:tex-math>theta </jats:tex-math> </jats:alternatives> </jats:inline-formula>-weighted scheme is used to discretize the space directions. The efficiency of the scheme is demonstrated through numerical results and rate of convergence. The convergence order and error norms are studied at different values of the noninteger parameter, temporal directions, and spatial directions. Finally, the effectiveness of the proposed methodology is examined through the analysis of three applications.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"8 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139584280","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 study, high-speed mid-infrared Mach–Zehnder electro-optical modulators in x-cut lithium niobate (LN) thin film on sapphire were designed, simulated, and analyzed. The main optical parameters of three types of Mach–Zehnder modulators (MZMs) (residual LN with thickness of 0, 0.5, and 1 μm) were simulated and calculated, namely, the single-mode conditions, bending loss, separation distance between electrode edge and lithium niobate waveguide edge, optical field distribution, and half-wave voltage–length product. The main radio frequency (RF) parameters of these three types of MZMs, such as characteristic impedance, attenuation constant, RF effective index, and the –3 dB modulation bandwidth were calculated depending on the dimensions of the coplanar waveguide traveling-wave electrodes. The modulations with residual LN thickness of 0, 0.5, and 1 μm were calculated with bandwidths exceeding 140, 150, and 240 GHz, respectively, and the half-wave voltage–length product achieved was 22.4, 21.6, and 15.1 V cm, respectively. By optimizing RF and optical parameters, guidelines for device design are presented, and the achievable modulation bandwidth is significantly increased.
本研究设计、模拟和分析了蓝宝石上 x 切面铌酸锂（LN）薄膜中的高速中红外马赫-泽恩德电光调制器。模拟并计算了三种马赫-泽恩德调制器（残留铌酸锂厚度分别为 0、0.5 和 1 μm）的主要光学参数，即单模条件、弯曲损耗、电极边缘与铌酸锂波导边缘的分离距离、光场分布和半波压长积。根据共面波导行波电极的尺寸，计算了这三种类型 MZM 的主要射频（RF）参数，如特性阻抗、衰减常数、RF 有效指数和 -3 dB 调制带宽。计算得出的 LN 剩余厚度为 0、0.5 和 1 μm 时的调制带宽分别超过 140、150 和 240 GHz，实现的半波电压-长度乘积分别为 22.4、21.6 和 15.1 V cm。通过优化射频和光学参数，提出了器件设计指南，并显著提高了可实现的调制带宽。
{"title":"High-speed mid-infrared Mach–Zehnder electro-optical modulators in lithium niobate thin film on sapphire","authors":"Huangpu Han, Bingxi Xiang, Jiali Zhang, Zhixian Wei, Yunpeng Jiang","doi":"10.1515/phys-2023-0178","DOIUrl":"https://doi.org/10.1515/phys-2023-0178","url":null,"abstract":"In this study, high-speed mid-infrared Mach–Zehnder electro-optical modulators in x-cut lithium niobate (LN) thin film on sapphire were designed, simulated, and analyzed. The main optical parameters of three types of Mach–Zehnder modulators (MZMs) (residual LN with thickness of 0, 0.5, and 1 μm) were simulated and calculated, namely, the single-mode conditions, bending loss, separation distance between electrode edge and lithium niobate waveguide edge, optical field distribution, and half-wave voltage–length product. The main radio frequency (RF) parameters of these three types of MZMs, such as characteristic impedance, attenuation constant, RF effective index, and the –3 dB modulation bandwidth were calculated depending on the dimensions of the coplanar waveguide traveling-wave electrodes. The modulations with residual LN thickness of 0, 0.5, and 1 μm were calculated with bandwidths exceeding 140, 150, and 240 GHz, respectively, and the half-wave voltage–length product achieved was 22.4, 21.6, and 15.1 V cm, respectively. By optimizing RF and optical parameters, guidelines for device design are presented, and the achievable modulation bandwidth is significantly increased.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"147B 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139552325","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}
With particular attention to the effects of an electromagnetically induced resistive force on homogeneous–heterogeneous processes and the related homogeneous heat effects, the Casson fluid flow towards a stretching sheet at the magnetohydrodynamic stagnation point is investigated in detail. In this situation, the Laplace approach helps decipher the subtleties of the first-order kinetics governing the fluid’s motion. Notably, the fluid dynamics are largely determined by the homogeneous behaviour expected in the surrounding environment, forming a strong correlation between catalyst temperature on the wall and surface activity. Using conventional differential systems, our analysis gains a great deal from the modified Laplace decomposition method, which allows non-linear systems to be computed and examined. In order to improve understanding, numerical findings are included, and graphs are skillfully used to examine the subtleties of different factors. The in-depth examination also includes the complicated patterns of concentration and temperature, providing insightful information on the intricate interactions between forces and effects in this dynamic system.
{"title":"Homogeneous–heterogeneous reactions in the colloidal investigation of Casson fluid","authors":"Saima Noor","doi":"10.1515/phys-2023-0174","DOIUrl":"https://doi.org/10.1515/phys-2023-0174","url":null,"abstract":"With particular attention to the effects of an electromagnetically induced resistive force on homogeneous–heterogeneous processes and the related homogeneous heat effects, the Casson fluid flow towards a stretching sheet at the magnetohydrodynamic stagnation point is investigated in detail. In this situation, the Laplace approach helps decipher the subtleties of the first-order kinetics governing the fluid’s motion. Notably, the fluid dynamics are largely determined by the homogeneous behaviour expected in the surrounding environment, forming a strong correlation between catalyst temperature on the wall and surface activity. Using conventional differential systems, our analysis gains a great deal from the modified Laplace decomposition method, which allows non-linear systems to be computed and examined. In order to improve understanding, numerical findings are included, and graphs are skillfully used to examine the subtleties of different factors. The in-depth examination also includes the complicated patterns of concentration and temperature, providing insightful information on the intricate interactions between forces and effects in this dynamic system.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"159 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139552363","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}
Wenrong Si, Chenzhao Fu, Yue Tian, Jie Chen, Peng Yuan, Zexuan Huang, Jian Yang
To improve heat dissipation performance of panel-type radiator for transformer, this study investigated the flow and heat transfer characteristics of semi-detached inclined trapezoidal wing vortex generator (SDITW) in a closed channel on the air-side of the radiator. The SDITW was compared with the inclined delta wing (IDW) and inclined trapezoidal wing (ITW) channels. The effects of SDITW relative separation height (e1/e2), longitudinal pitch (pl), blockage ratio (e/(0.5H)), and inclination angle (α) were analyzed. First, compared with the IDW and ITW channels, the SDITW channel generates stable corner vortices and produces weaker transverse vortices and lower flow resistance due to the semi-detached structure of the wing. For Re = 5,125–15,375, the overall heat transfer performance (performance evaluation criteria; PEC) of the SDITW channel increases by 0.5–8.9 and 1.7–4.9% as compared with IDW and ITW channels, respectively. Furthermore, for the same e/(0.5H) and α, both the Nusselt number ratio and friction factor ratio of SDITW channel increase as e1/e2 and pl decrease. For pl = 70 mm, the SDITW channel exhibits a relatively better overall heat transfer performance. For the same e1/e2 and pl, the PEC of SDITW channel is maximum and the overall heat transfer performance is best when e/(0.5H) = 0.3 at Re = 10,250 and α = 30°–60°.
为改善变压器板式散热器的散热性能，本研究对散热器空气侧封闭通道中的半分离式倾斜梯形翼涡流发生器（SDITW）的流动和传热特性进行了研究。将 SDITW 与倾斜三角翼（IDW）和倾斜梯形翼（ITW）通道进行了比较。分析了 SDITW 相对分离高度（e 1/e 2）、纵向间距（p l）、阻塞比（e/(0.5H)）和倾角（α）的影响。首先，与 IDW 和 ITW 通道相比，SDITW 通道能产生稳定的角涡流，并且由于机翼的半分离结构，产生的横向涡流较弱，流动阻力较小。在 Re = 5,125-15,375 条件下，SDITW 通道的整体传热性能（性能评估标准；PEC）比 IDW 和 ITW 通道分别提高了 0.5-8.9% 和 1.7-4.9%。此外，在相同的 e/(0.5H) 和 α 条件下，随着 e 1/e 2 和 p l 的减小，SDITW 通道的努塞尔特数比和摩擦因数比都会增大。当 p l = 70 mm 时，SDITW 水道的整体传热性能相对较好。在相同的 e 1/e 2 和 p l 条件下，当 e/(0.5H) = 0.3（Re = 10,250 和 α = 30°-60°）时，SDITW 通道的 PEC 最大，整体传热性能最好。
{"title":"Numerical study of flow and heat transfer in the channel of panel-type radiator with semi-detached inclined trapezoidal wing vortex generators","authors":"Wenrong Si, Chenzhao Fu, Yue Tian, Jie Chen, Peng Yuan, Zexuan Huang, Jian Yang","doi":"10.1515/phys-2023-0180","DOIUrl":"https://doi.org/10.1515/phys-2023-0180","url":null,"abstract":"To improve heat dissipation performance of panel-type radiator for transformer, this study investigated the flow and heat transfer characteristics of semi-detached inclined trapezoidal wing vortex generator (SDITW) in a closed channel on the air-side of the radiator. The SDITW was compared with the inclined delta wing (IDW) and inclined trapezoidal wing (ITW) channels. The effects of SDITW relative separation height (<jats:italic>e</jats:italic> <jats:sub>1</jats:sub>/<jats:italic>e</jats:italic> <jats:sub>2</jats:sub>), longitudinal pitch (<jats:italic>p</jats:italic> <jats:sub>l</jats:sub>), blockage ratio (<jats:italic>e</jats:italic>/(0.5<jats:italic>H</jats:italic>)), and inclination angle (<jats:italic>α</jats:italic>) were analyzed. First, compared with the IDW and ITW channels, the SDITW channel generates stable corner vortices and produces weaker transverse vortices and lower flow resistance due to the semi-detached structure of the wing. For Re = 5,125–15,375, the overall heat transfer performance (performance evaluation criteria; PEC) of the SDITW channel increases by 0.5–8.9 and 1.7–4.9% as compared with IDW and ITW channels, respectively. Furthermore, for the same <jats:italic>e</jats:italic>/(0.5<jats:italic>H</jats:italic>) and <jats:italic>α</jats:italic>, both the Nusselt number ratio and friction factor ratio of SDITW channel increase as <jats:italic>e</jats:italic> <jats:sub>1</jats:sub>/<jats:italic>e</jats:italic> <jats:sub>2</jats:sub> and <jats:italic>p</jats:italic> <jats:sub>l</jats:sub> decrease. For <jats:italic>p</jats:italic> <jats:sub>l</jats:sub> = 70 mm, the SDITW channel exhibits a relatively better overall heat transfer performance. For the same <jats:italic>e</jats:italic> <jats:sub>1</jats:sub>/<jats:italic>e</jats:italic> <jats:sub>2</jats:sub> and <jats:italic>p</jats:italic> <jats:sub>l</jats:sub>, the PEC of SDITW channel is maximum and the overall heat transfer performance is best when <jats:italic>e</jats:italic>/(0.5<jats:italic>H</jats:italic>) = 0.3 at Re = 10,250 and <jats:italic>α</jats:italic> = 30°–60°.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139508786","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}
This work investigates the behavior of a nanofluid in a horizontal channel under advection boundary conditions within the domain of magnetohydrodynamic radiative Couette-Poiseuille flow. We utilize the Haar wavelet collocation method (HWCM) to investigate the effects of energy activation. This research relies on the mathematical model introduced by Buongiorno, which effectively captures the flow dynamics and incorporates the influence of chemical processes. To streamline the governing flow equations, we employ boundary layer approximations. The HWCM is employed to numerically solve the non-linear coupled partial differential equations that regulate momentum, heat transport, and mass transfer processes. We examine the impact of several dimensionless convergence parameters on the velocity, temperature, and concentration profiles and give visual representations of these results. It is crucial to highlight that the activation energy of the specific chemical reaction is directly linked to the concentration of nanoparticles. The effect of Brownian motion on nanoparticle concentration varies from that of the thermophoresis parameter.
{"title":"Examining the role of activation energy and convective boundary conditions in nanofluid behavior of Couette-Poiseuille flow","authors":"Abdulrahman B. M. Alzahrani","doi":"10.1515/phys-2023-0176","DOIUrl":"https://doi.org/10.1515/phys-2023-0176","url":null,"abstract":"This work investigates the behavior of a nanofluid in a horizontal channel under advection boundary conditions within the domain of magnetohydrodynamic radiative Couette-Poiseuille flow. We utilize the Haar wavelet collocation method (HWCM) to investigate the effects of energy activation. This research relies on the mathematical model introduced by Buongiorno, which effectively captures the flow dynamics and incorporates the influence of chemical processes. To streamline the governing flow equations, we employ boundary layer approximations. The HWCM is employed to numerically solve the non-linear coupled partial differential equations that regulate momentum, heat transport, and mass transfer processes. We examine the impact of several dimensionless convergence parameters on the velocity, temperature, and concentration profiles and give visual representations of these results. It is crucial to highlight that the activation energy of the specific chemical reaction is directly linked to the concentration of nanoparticles. The effect of Brownian motion on nanoparticle concentration varies from that of the thermophoresis parameter.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139483839","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 the window function spectrum of the low signal-to-noise ratio photon Doppler signal after the short-time Fourier transform, the weak beat frequency cannot be obtained by extracting the maximum amplitude spectrum frequency of each window because the amplitude of the noise spectrum exceeds the weak beat frequency. In this article, the value of the beat frequency is first estimated by the Kalman filter. Then, a multiple analytical bandpass filter is constructed to refine the spectrum of the high noise signal with the value of the beat frequency estimate as the spectrum band center. This technique extracts only the beat frequencies from the narrowband refinement spectrum by removing the interference spectrum band range. We use this technique to process the photon Doppler signals from the tiny high-speed flying fragments explosion experiment. After data processing, the beat frequency value heavily affected by high-frequency noise can reduce the error by up to 64.9%. The beat frequency value of the low noise signal can be accurate to 106 Hz, equivalent to 0.775 m/s after velocity demodulation. This method fully considers the positioning and protection of the beat frequency characteristics. It makes weak beat frequencies more obvious in the refined narrowband spectrum without changing the signal amplitude. This article describes a method for extracting the weak beat frequency of the photon Doppler signal or a signal optimization algorithm for needing high-precision beat frequencies in a test environment.
{"title":"Weak beat frequency extraction method for photon Doppler signal with low signal-to-noise ratio","authors":"Ya-Nan Sun, Shen-Jiang Wu, Guo-Sheng Qin, Ke-Xuan Wang, Jia Wang, Dang-Juan Li, Yu-Qi Du","doi":"10.1515/phys-2023-0172","DOIUrl":"https://doi.org/10.1515/phys-2023-0172","url":null,"abstract":"In the window function spectrum of the low signal-to-noise ratio photon Doppler signal after the short-time Fourier transform, the weak beat frequency cannot be obtained by extracting the maximum amplitude spectrum frequency of each window because the amplitude of the noise spectrum exceeds the weak beat frequency. In this article, the value of the beat frequency is first estimated by the Kalman filter. Then, a multiple analytical bandpass filter is constructed to refine the spectrum of the high noise signal with the value of the beat frequency estimate as the spectrum band center. This technique extracts only the beat frequencies from the narrowband refinement spectrum by removing the interference spectrum band range. We use this technique to process the photon Doppler signals from the tiny high-speed flying fragments explosion experiment. After data processing, the beat frequency value heavily affected by high-frequency noise can reduce the error by up to 64.9%. The beat frequency value of the low noise signal can be accurate to 10<jats:sup>6</jats:sup> Hz, equivalent to 0.775 m/s after velocity demodulation. This method fully considers the positioning and protection of the beat frequency characteristics. It makes weak beat frequencies more obvious in the refined narrowband spectrum without changing the signal amplitude. This article describes a method for extracting the weak beat frequency of the photon Doppler signal or a signal optimization algorithm for needing high-precision beat frequencies in a test environment.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"77 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139464351","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}
Micro-devices fabrication has led to extensive scientific research on microfluidics and microelectromechanical systems. These devices are used for a wide range of technological applications, but research on microfluidic devices for nanofluids is relatively scarce. In response to this problem, the electrokinetic energy conversion (EKEC) efficiency of nanofluids is provided under the coupling effect of pressure gradient and magnetic field through porous microtubes using the Debye–Hückel linearization and the Green’s function method. The results show that the periodic excitation of the square waveform is more effective in increasing the EKEC efficiency. In addition, compared with previous studies, the average velocity is in good agreement with the cosine waveform at R = 0.2. It is worth noting that compared to cosine waves, the average velocity reaches 47% in triangular waves and 85% in square waves.
{"title":"Electrokinetic energy conversion of nanofluids in porous microtubes with Green’s function","authors":"Xue Gao, Guangpu Zhao, Ying Zhang, Yue Zhang","doi":"10.1515/phys-2023-0173","DOIUrl":"https://doi.org/10.1515/phys-2023-0173","url":null,"abstract":"Micro-devices fabrication has led to extensive scientific research on microfluidics and microelectromechanical systems. These devices are used for a wide range of technological applications, but research on microfluidic devices for nanofluids is relatively scarce. In response to this problem, the electrokinetic energy conversion (EKEC) efficiency of nanofluids is provided under the coupling effect of pressure gradient and magnetic field through porous microtubes using the Debye–Hückel linearization and the Green’s function method. The results show that the periodic excitation of the square waveform is more effective in increasing the EKEC efficiency. In addition, compared with previous studies, the average velocity is in good agreement with the cosine waveform at <jats:italic>R</jats:italic> = 0.2. It is worth noting that compared to cosine waves, the average velocity reaches 47% in triangular waves and 85% in square waves.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"51 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139464246","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}
Lamia Abu El Maati, M. Ijaz Khan, Shaimaa A. M. Abdelmohsen, Badriah M. Alotaibi
This article features the buoyancy-driven electro-magnetohydrodynamic micropolar nanomaterial flow subjected to motile microorganisms. The flow is engendered via an elongating surface, and the energy relation includes heat source generation, magnetohydrodynamics, and radiation. A Buongiorno nanomaterial model (which includes thermophoretic and Brownian diffusions) together with chemical reaction and bioconvection aspects is pondered. The nonlinear governing expressions are transfigured into a dimensionless system, and the dimensionless expressions are computed using the numerical differential-solve scheme. Graphical analyses are conducted to examine the liquid flow, microrotation velocity, microorganism concentration, and temperature in relation to secondary variables. It is observed that a higher Hartman number has an opposite influence on temperature and velocity profiles. A rise in material variables engenders a decline in microrotation velocity. The temperature is enhanced through radiation. The concentration shows conflicting trends for both thermophoretic and random factors. The presence of motile microorganisms reduces the bioconvection Lewis and Peclet numbers.
{"title":"Investigation of nanomaterials in flow of non-Newtonian liquid toward a stretchable surface","authors":"Lamia Abu El Maati, M. Ijaz Khan, Shaimaa A. M. Abdelmohsen, Badriah M. Alotaibi","doi":"10.1515/phys-2023-0171","DOIUrl":"https://doi.org/10.1515/phys-2023-0171","url":null,"abstract":"This article features the buoyancy-driven electro-magnetohydrodynamic micropolar nanomaterial flow subjected to motile microorganisms. The flow is engendered <jats:italic>via</jats:italic> an elongating surface, and the energy relation includes heat source generation, magnetohydrodynamics, and radiation. A Buongiorno nanomaterial model (which includes thermophoretic and Brownian diffusions) together with chemical reaction and bioconvection aspects is pondered. The nonlinear governing expressions are transfigured into a dimensionless system, and the dimensionless expressions are computed using the numerical differential-solve scheme. Graphical analyses are conducted to examine the liquid flow, microrotation velocity, microorganism concentration, and temperature in relation to secondary variables. It is observed that a higher Hartman number has an opposite influence on temperature and velocity profiles. A rise in material variables engenders a decline in microrotation velocity. The temperature is enhanced through radiation. The concentration shows conflicting trends for both thermophoretic and random factors. The presence of motile microorganisms reduces the bioconvection Lewis and Peclet numbers.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"26 6 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139464342","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}
This research investigates the flow of micropolar fluid and heat transfer through a permeable channel using the successive linearization method (SLM). The study considers parameters such as coupling, spin-gradient viscosity, and micro-inertia density. The partial differential equations involved are transformed into a system of ordinary differential equations using similarity variables. The resulting nonlinear equations are solved using the SLM technique, and their accuracy and computational efficiency are validated through comparative analysis with previous results. The study shows that increasing the parameters of coupling and spin-gradient viscosity has a positive impact on fluid flow, microrotation, heat transfer, and mass transport, as demonstrated by the increased dimensionless profiles. Conversely, an increase in the micro-inertia density parameter leads to a reduction in these profiles. This decrease can be attributed to the increase in the micro-inertia effect of fluid flow and heat transfer, resulting in a decrease in convection and a change in the flow pattern in the channel. Additionally, higher Reynolds numbers are associated with decreases in velocity, microrotation, temperature, and concentration distribution. This implies a reduction in fluid flow intensity, weaker heat transfer, and decreased mass transport. However, an increased Peclet number results in increased fluid temperature and concentration profiles, indicating enhanced thermal convection and mass transport. These findings have significant implications for applications involving micropolar fluids, such as lubrication systems, blood flow, microchannels, and filtration systems.
{"title":"Micropolar flow and heat transfer within a permeable channel using the successive linearization method","authors":"Mohammed Abdalbagi","doi":"10.1515/phys-2023-0177","DOIUrl":"https://doi.org/10.1515/phys-2023-0177","url":null,"abstract":"This research investigates the flow of micropolar fluid and heat transfer through a permeable channel using the successive linearization method (SLM). The study considers parameters such as coupling, spin-gradient viscosity, and micro-inertia density. The partial differential equations involved are transformed into a system of ordinary differential equations using similarity variables. The resulting nonlinear equations are solved using the SLM technique, and their accuracy and computational efficiency are validated through comparative analysis with previous results. The study shows that increasing the parameters of coupling and spin-gradient viscosity has a positive impact on fluid flow, microrotation, heat transfer, and mass transport, as demonstrated by the increased dimensionless profiles. Conversely, an increase in the micro-inertia density parameter leads to a reduction in these profiles. This decrease can be attributed to the increase in the micro-inertia effect of fluid flow and heat transfer, resulting in a decrease in convection and a change in the flow pattern in the channel. Additionally, higher Reynolds numbers are associated with decreases in velocity, microrotation, temperature, and concentration distribution. This implies a reduction in fluid flow intensity, weaker heat transfer, and decreased mass transport. However, an increased Peclet number results in increased fluid temperature and concentration profiles, indicating enhanced thermal convection and mass transport. These findings have significant implications for applications involving micropolar fluids, such as lubrication systems, blood flow, microchannels, and filtration systems.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"47 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139410565","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}
Xingxing Wu, Jalil Manafian, Gurpreet Singh, Baharak Eslami, Abdullah Aldurayhim, Noor Alhuda Mohammad Ali khalil, Ahmed Alawadi
In this article, the (2+1)-dimensional KdV equation by Hirota’s bilinear scheme is studied. Besides, the binary bell polynomials and then the bilinear form is created. In addition, an interaction lump with kk-soliton solutions of the addressed system with known coefficients is presented. With the assistance of the stated methodology, a cloaked form of an analytical solution is discovered in expressions of lump-soliton rational functions with a few lovable parameters. Solutions to this study’s problems are identified specifically as belonging to the lump-one, two, three, and four soliton solutions. By defining the specific advantages of the epitomized parameters by the depiction of figures and by interpreting the physical occurrences are established acceptable soliton arrangements and dealt with the physical importance of the obtained arrangements. Finally, under certain conditions, the physical behavior of solutions is analyzed by using the mentioned method. Moreover, the graphs with high resolutions including three-dimensional plots, density plots, and two-dimensional plots to determine a deep understanding of plotted solutions that will arise in the applied mathematics and nonlinear physics are employed.
本文通过 Hirota 的双线性方案研究了 (2+1)-dimensional KdV 方程。此外，还创建了二元钟形多项式和双线性形式。此外，还提出了一个具有已知系数的 k k -soliton 解的相互作用块。在上述方法的帮助下，我们发现了一个分析解的隐蔽形式，即带有几个可爱参数的有理函数的表达式。本研究问题的解决方案被具体确定为属于块状一、二、三和四孤子解决方案。通过对数字的描述和对物理现象的解释，确定了可接受的孤子排列，并处理了所获排列的物理重要性。最后，在特定条件下，使用上述方法分析了解决方案的物理行为。此外，还采用了高分辨率的图形，包括三维图、密度图和二维图，以便深入理解应用数学和非线性物理学中出现的图解。
{"title":"Different lump k-soliton solutions to (2+1)-dimensional KdV system using Hirota binary Bell polynomials","authors":"Xingxing Wu, Jalil Manafian, Gurpreet Singh, Baharak Eslami, Abdullah Aldurayhim, Noor Alhuda Mohammad Ali khalil, Ahmed Alawadi","doi":"10.1515/phys-2023-0167","DOIUrl":"https://doi.org/10.1515/phys-2023-0167","url":null,"abstract":"In this article, the (2+1)-dimensional KdV equation by Hirota’s bilinear scheme is studied. Besides, the binary bell polynomials and then the bilinear form is created. In addition, an interaction lump with <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2023-0167_eq_001.png\" /> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>k</m:mi> </m:math> <jats:tex-math>k</jats:tex-math> </jats:alternatives> </jats:inline-formula>-soliton solutions of the addressed system with known coefficients is presented. With the assistance of the stated methodology, a cloaked form of an analytical solution is discovered in expressions of lump-soliton rational functions with a few lovable parameters. Solutions to this study’s problems are identified specifically as belonging to the lump-one, two, three, and four soliton solutions. By defining the specific advantages of the epitomized parameters by the depiction of figures and by interpreting the physical occurrences are established acceptable soliton arrangements and dealt with the physical importance of the obtained arrangements. Finally, under certain conditions, the physical behavior of solutions is analyzed by using the mentioned method. Moreover, the graphs with high resolutions including three-dimensional plots, density plots, and two-dimensional plots to determine a deep understanding of plotted solutions that will arise in the applied mathematics and nonlinear physics are employed.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"3 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139410601","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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