The present work aims to focus on the heat transfer analysis of the peristaltic flow of biviscosity fluid in an annular region between two coaxial flexible tubes with different amplitudes and phases under the influence of a radially varying magnetic field and constant rotation. In this model, the non‐Newtonian biviscosity fluid is flowing through the annulus region between the two concentric inclined tubes. The outer flexible tube is permeable and supposed to satisfy the Saffman slip condition. The governing equations for the considered problem are simplified under the assumptions of a creeping flow and long‐wavelength approximations. Semi‐analytical expressions for the axial velocity and temperature profile are obtained using the homotopy perturbation method. Here, the expressions for shear stress and stream function are also obtained. In this work, the authors discussed the impact of various flow parameters like the Hartmann number, rotation of the frame, permeability parameter, phase difference, amplitude ratios of inner and outer tubes, radius ratio, and inclination angle on the above flow variables. The streamline contour plots are also drawn for the realization of the fluid flow inside the annular endoscopic region. A noticeable result which is drawn from the present study is that phase difference and amplitude ratio are responsible for reduction and enhancement in temperature and axial velocity of the moving fluid, respectively. It is also found from the present examination that the rise in the strength of the applied magnetic field enhances the transverse fluctuations of peristaltically propagating waves. The comparison of the sinusoidal waveform with the various types of waveforms, such as triangular, trapezoidal, and square waveforms, in the case of a peristaltic endoscope is also discussed. The proposed model may give insights into designing a novel endoscope and decide whether such types of peristaltic endoscopes have exemplary implementations for surgical and mechanical purposes.
{"title":"Heat transfer analysis of a peristaltically induced creeping magnetohydrodynamic flow through an inclined annulus using homotopy perturbation method","authors":"Pramod Kumar Yadav, Muhammad Roshan","doi":"10.1002/zamm.202400198","DOIUrl":"https://doi.org/10.1002/zamm.202400198","url":null,"abstract":"The present work aims to focus on the heat transfer analysis of the peristaltic flow of biviscosity fluid in an annular region between two coaxial flexible tubes with different amplitudes and phases under the influence of a radially varying magnetic field and constant rotation. In this model, the non‐Newtonian biviscosity fluid is flowing through the annulus region between the two concentric inclined tubes. The outer flexible tube is permeable and supposed to satisfy the Saffman slip condition. The governing equations for the considered problem are simplified under the assumptions of a creeping flow and long‐wavelength approximations. Semi‐analytical expressions for the axial velocity and temperature profile are obtained using the homotopy perturbation method. Here, the expressions for shear stress and stream function are also obtained. In this work, the authors discussed the impact of various flow parameters like the Hartmann number, rotation of the frame, permeability parameter, phase difference, amplitude ratios of inner and outer tubes, radius ratio, and inclination angle on the above flow variables. The streamline contour plots are also drawn for the realization of the fluid flow inside the annular endoscopic region. A noticeable result which is drawn from the present study is that phase difference and amplitude ratio are responsible for reduction and enhancement in temperature and axial velocity of the moving fluid, respectively. It is also found from the present examination that the rise in the strength of the applied magnetic field enhances the transverse fluctuations of peristaltically propagating waves. The comparison of the sinusoidal waveform with the various types of waveforms, such as triangular, trapezoidal, and square waveforms, in the case of a peristaltic endoscope is also discussed. The proposed model may give insights into designing a novel endoscope and decide whether such types of peristaltic endoscopes have exemplary implementations for surgical and mechanical purposes.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"54 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The behavior of harmonic functions near corners of the domain boundary has a universal character that may be applied to the study of the flow around slender bodies with sharp edges. Depending of the energy of the potential function near the tip of the corner, this may yield a fast rotating flow or a vortex in its vicinity. For internal angles, such as occur in grooves of the body, a stagnation region or an eddy may occur. Lateral forces are also affected by the presence of corners, yielding configurations that resemble either a circulation lift or a vortex lift.
{"title":"Flow around a slender body with sharp edges","authors":"Manuel Núñez","doi":"10.1002/zamm.202300994","DOIUrl":"https://doi.org/10.1002/zamm.202300994","url":null,"abstract":"The behavior of harmonic functions near corners of the domain boundary has a universal character that may be applied to the study of the flow around slender bodies with sharp edges. Depending of the energy of the potential function near the tip of the corner, this may yield a fast rotating flow or a vortex in its vicinity. For internal angles, such as occur in grooves of the body, a stagnation region or an eddy may occur. Lateral forces are also affected by the presence of corners, yielding configurations that resemble either a circulation lift or a vortex lift.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sumant Kumar, S. V. S. S. N. V. G. Krishna Murthy, B. V. Rathish Kumar, Deepika Parmar
The present research aims to improve the convective thermal transport rate of a hybrid nanofluid within an inverted T‐shaped porous enclosure using strategically placed cold circular cylinders. Different locations of circular cylinders in the physical domain are distinguished with nomenclatures as Cases C0‐C4. The mathematical model, based on the Darcy–Brinkman–Forchheimer equation, is numerically simulated through the penalty finite element method. Fluid flow and heat transfer characteristics are depicted graphically, showcasing streamlines, isotherms, mean Nusselt number (), and heat transfer enhancement percentage (En%) across varied thermo‐physical parameters, including Rayleigh number (), Darcy number (), and porosity values (). Notably, the presence of two circular cylinders at the bottom flow zones (Case C4) demonstrates superior heat transfer compared to other spatial cylinder arrangements with increasing . Furthermore, augmenting flow parameters () in the case C4 model intensifies convective heat and fluid flow phenomena. A comparative analysis of thermal transport activity between Case C4 and the simple physical domain (Case C0) reveals maximum thermal enhancement of 166%, 167%, and 36% across varying , , and values. This comprehensive analysis suggests that two circular cylinders (Case C4) at the bottom flow section of the porous enclosure provide an effective strategy for enhancing convective fluid and thermal transport phenomena in an inverted T‐shaped porous enclosure. Moreover, this research significantly contributes in optimizing the thermal transport engineering of T‐shaped applications like solar collectors, exchangers, and heat storage.
本研究旨在利用战略性放置的冷圆柱，提高混合纳米流体在倒 T 形多孔外壳内的对流热传输速率。圆柱体在物理域中的不同位置用 Cases C0-C4 来区分。数学模型以达西-布林克曼-福克海默方程为基础，通过罚分有限元法进行数值模拟。流体流动和传热特性以图表形式展示，包括流线、等温线、平均努塞尔特数（）和不同热物理参数（包括瑞利数（）、达西数（）和孔隙率值（）下的传热增强百分比（En%）。值得注意的是，与其他空间圆柱体排列方式相比，底部流动区域（情况 C4）存在两个圆形圆柱体的传热效果更佳。此外，在情况 C4 模型中增加流动参数（）会加强对流热和流体流动现象。通过对案例 C4 和简单物理区域（案例 C0）的热传导活动进行比较分析，发现在不同的 、 、 和 值范围内，最大热增强率分别为 166%、167% 和 36%。综合分析表明，多孔围护结构底部流动部分的两个圆形圆柱体（情况 C4）是增强倒 T 型多孔围护结构中对流流体和热传输现象的有效策略。此外，这项研究还有助于优化太阳能集热器、交换器和蓄热器等 T 型应用的热传输工程。
{"title":"Mathematical modeling of convective heat transfer enhancement using circular cylinders in an inverted T‐shaped porous enclosure","authors":"Sumant Kumar, S. V. S. S. N. V. G. Krishna Murthy, B. V. Rathish Kumar, Deepika Parmar","doi":"10.1002/zamm.202300281","DOIUrl":"https://doi.org/10.1002/zamm.202300281","url":null,"abstract":"The present research aims to improve the convective thermal transport rate of a hybrid nanofluid within an inverted T‐shaped porous enclosure using strategically placed cold circular cylinders. Different locations of circular cylinders in the physical domain are distinguished with nomenclatures as Cases C0‐C4. The mathematical model, based on the Darcy–Brinkman–Forchheimer equation, is numerically simulated through the penalty finite element method. Fluid flow and heat transfer characteristics are depicted graphically, showcasing streamlines, isotherms, mean Nusselt number (), and heat transfer enhancement percentage (En%) across varied thermo‐physical parameters, including Rayleigh number (), Darcy number (), and porosity values (). Notably, the presence of two circular cylinders at the bottom flow zones (Case C4) demonstrates superior heat transfer compared to other spatial cylinder arrangements with increasing . Furthermore, augmenting flow parameters () in the case C4 model intensifies convective heat and fluid flow phenomena. A comparative analysis of thermal transport activity between Case C4 and the simple physical domain (Case C0) reveals maximum thermal enhancement of 166%, 167%, and 36% across varying , , and values. This comprehensive analysis suggests that two circular cylinders (Case C4) at the bottom flow section of the porous enclosure provide an effective strategy for enhancing convective fluid and thermal transport phenomena in an inverted T‐shaped porous enclosure. Moreover, this research significantly contributes in optimizing the thermal transport engineering of T‐shaped applications like solar collectors, exchangers, and heat storage.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Adil Darvesh, Luis Jaime Collantes Santisteban, Shahzeb Khan, Fethi Mohamed Maiz, Hakim AL Garalleh, Manuel Sánchez‐Chero
The wedge geometry is a cornerstone in thermal transport mechanism, sepcially in scenarios involving fluid flow over surfaces. The current study emphasizes the melting heat transport mechanism in a Graphene oxide nanofluid over a Falkner‐Skan wedge geometry in the presence of multiple features of infinite shear rate accompanied with variable thermal transport characteristics and activation energy. Additionally, Cross model incorporated in the sytem, which predicts accurate behavior of intricate flow for better thermal simulation. The flow is governed by framed set of partial differential equations based on Naver stokes relations. A highly nonlinear system is altered in simplified non dimensional form using similarity variables. Numerical simulations are performed by an efficient MATLAB (bvp4c) solver scheme and the results of emerging parameters are compiled via different pictorial and tabular representations. The higher values of velocity ratio and melting heat parameter boost up the heat transfer rate over the Falkner‐Skan wedge geometry, whereas Brownian motion of nanofluid molecules arises by thermophoresis which declines the concentration profile. Numeric growth in the values of Schmidt number reduce the mass diffusivity, which declines the fluid temperature distribution. Likewise, Increasing value of Prandtl number causes reduction in thermal conductivity and produces temperature fall. It is worth noting that, this computational assessment is crucial in thermal processes because the results derived from this analysis enable the optimization of designs for better performance, efficiency, and control in practical applications.
{"title":"Numerical simulation of melting heat transport mechanism of Cross nanofluid with multiple features of infinite shear rate over a Falkner‐Skan wedge surface","authors":"Adil Darvesh, Luis Jaime Collantes Santisteban, Shahzeb Khan, Fethi Mohamed Maiz, Hakim AL Garalleh, Manuel Sánchez‐Chero","doi":"10.1002/zamm.202400218","DOIUrl":"https://doi.org/10.1002/zamm.202400218","url":null,"abstract":"The wedge geometry is a cornerstone in thermal transport mechanism, sepcially in scenarios involving fluid flow over surfaces. The current study emphasizes the melting heat transport mechanism in a Graphene oxide nanofluid over a Falkner‐Skan wedge geometry in the presence of multiple features of infinite shear rate accompanied with variable thermal transport characteristics and activation energy. Additionally, Cross model incorporated in the sytem, which predicts accurate behavior of intricate flow for better thermal simulation. The flow is governed by framed set of partial differential equations based on Naver stokes relations. A highly nonlinear system is altered in simplified non dimensional form using similarity variables. Numerical simulations are performed by an efficient MATLAB (bvp4c) solver scheme and the results of emerging parameters are compiled via different pictorial and tabular representations. The higher values of velocity ratio and melting heat parameter boost up the heat transfer rate over the Falkner‐Skan wedge geometry, whereas Brownian motion of nanofluid molecules arises by thermophoresis which declines the concentration profile. Numeric growth in the values of Schmidt number reduce the mass diffusivity, which declines the fluid temperature distribution. Likewise, Increasing value of Prandtl number causes reduction in thermal conductivity and produces temperature fall. It is worth noting that, this computational assessment is crucial in thermal processes because the results derived from this analysis enable the optimization of designs for better performance, efficiency, and control in practical applications.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tsviatko V. Rangelov, Yonko D. Stoynov, Petia S. Dineva
An exponentially graded with respect to depth magnetoelectroelastic (MEE) half‐plane containing two line or curvilinear cracks under time‐harmonic SH wave is studied. The defined mechanical problem is described by boundary integral equations (BIEs) along the cracks boundaries. The computational tool based on the non‐hypersingular traction boundary integral equation method (BIEM) is developed, verified and inserted in numerical simulations. It is based on the analytically derived Green's function and free‐field wave motion solution for exponentially graded MEE half‐plane. The dependence of the generalized stress intensity factors (SIFs) on the material gradient parameters, on the dynamic load characteristics, on the cracks position and their shape, on the dynamic interaction between cracks and between them and half‐plane boundary is numerically analyzed.
研究了在时谐 SH 波作用下，包含两条直线或曲线裂缝的与深度有关的指数分级磁电弹性（MEE）半平面。沿裂缝边界的边界积分方程（BIE）描述了所定义的力学问题。基于非褶皱牵引边界积分方程法（BIEM）的计算工具被开发、验证并插入到数值模拟中。它基于分析推导的格林函数和指数分级 MEE 半平面的自由场波运动解决方案。数值分析了广义应力强度因子 (SIF) 对材料梯度参数、动态载荷特性、裂缝位置及其形状、裂缝之间以及裂缝与半平面边界之间的动态相互作用的依赖性。
{"title":"Wave scattering in a cracked exponentially graded magnetoelectroelastic half‐plane","authors":"Tsviatko V. Rangelov, Yonko D. Stoynov, Petia S. Dineva","doi":"10.1002/zamm.202400097","DOIUrl":"https://doi.org/10.1002/zamm.202400097","url":null,"abstract":"An exponentially graded with respect to depth magnetoelectroelastic (MEE) half‐plane containing two line or curvilinear cracks under time‐harmonic SH wave is studied. The defined mechanical problem is described by boundary integral equations (BIEs) along the cracks boundaries. The computational tool based on the non‐hypersingular traction boundary integral equation method (BIEM) is developed, verified and inserted in numerical simulations. It is based on the analytically derived Green's function and free‐field wave motion solution for exponentially graded MEE half‐plane. The dependence of the generalized stress intensity factors (SIFs) on the material gradient parameters, on the dynamic load characteristics, on the cracks position and their shape, on the dynamic interaction between cracks and between them and half‐plane boundary is numerically analyzed.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"113 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Humaira Sharif, Bagh Ali, Iqra Saman, Nehad Ali Shah, Magda Abd El‐Rahman
The fluids flow containing nano size particles is essential in industrial applications, especially in nuclear cooling system and nuclear reactor to increase the energy performance. In connection to this, a trihybrid Ellis rotating nanofluid flow through a stretching surface for increasing the heat transportation is presented. By suspending three different types of nano size particles the trihybrid nanofluid is formed with distinct chemical and physical connection into base liquid. In this article, the nano size particles , and are mixed in (water). This type of mixture helps in degradation of noxious substances, cleaning environmental and many other appliances that requires the cooling effect. In addition, the linear thermal radiation is also considered. The governing equations of the flow and fluid temperature are minimized to ordinary differential equations and these equations are solved by Runge Kutta order fourth (RK45) approach. The approximate results are analyzed via graphs and the results reveal that thermal conductivity of trihybrid nano type fluid is more valuable as compared to hybrid and single nanofluid. Higher values of magnetic and rotational parameter have aggrandized the fluid temperature and opposite trend has observed for Ellis and thermal stratification parameter. Moreover, the results are compared with previous literature and found an excellent agreement.
{"title":"Significance of tri‐hybrid nanoparticles on the dynamics of Ellis rotating nanofluid with thermal stratification","authors":"Humaira Sharif, Bagh Ali, Iqra Saman, Nehad Ali Shah, Magda Abd El‐Rahman","doi":"10.1002/zamm.202300932","DOIUrl":"https://doi.org/10.1002/zamm.202300932","url":null,"abstract":"The fluids flow containing nano size particles is essential in industrial applications, especially in nuclear cooling system and nuclear reactor to increase the energy performance. In connection to this, a trihybrid Ellis rotating nanofluid flow through a stretching surface for increasing the heat transportation is presented. By suspending three different types of nano size particles the trihybrid nanofluid is formed with distinct chemical and physical connection into base liquid. In this article, the nano size particles , and are mixed in (water). This type of mixture helps in degradation of noxious substances, cleaning environmental and many other appliances that requires the cooling effect. In addition, the linear thermal radiation is also considered. The governing equations of the flow and fluid temperature are minimized to ordinary differential equations and these equations are solved by Runge Kutta order fourth (RK45) approach. The approximate results are analyzed via graphs and the results reveal that thermal conductivity of trihybrid nano type fluid is more valuable as compared to hybrid and single nanofluid. Higher values of magnetic and rotational parameter have aggrandized the fluid temperature and opposite trend has observed for Ellis and thermal stratification parameter. Moreover, the results are compared with previous literature and found an excellent agreement.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"158 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one‐dimensional case, by solving the stationary incompressible Navier‐Stokes‐Fourier equations with phase transition, we derive a necessary and sufficient condition for a dryout point to exist when the temperature at the liquid‐vapor interface is given. In addition, we show by considering thermodynamics that the temperature at the dryout point and the density of the vapor phase can be determined by given density and sufficiently small injected mass flux of the liquid phase.
{"title":"On a dryout point for a stationary incompressible thermal fluid with phase transition in a pipe","authors":"Yoshikazu Giga, Zhongyang Gu","doi":"10.1002/zamm.202400303","DOIUrl":"https://doi.org/10.1002/zamm.202400303","url":null,"abstract":"A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one‐dimensional case, by solving the stationary incompressible Navier‐Stokes‐Fourier equations with phase transition, we derive a necessary and sufficient condition for a dryout point to exist when the temperature at the liquid‐vapor interface is given. In addition, we show by considering thermodynamics that the temperature at the dryout point and the density of the vapor phase can be determined by given density and sufficiently small injected mass flux of the liquid phase.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The stress as a response to strain prescribed as a harmonic excitation is examined in both transient and steady state regime for the viscoelastic body modeled by thermodynamically consistent fractional anti‐Zener and Zener models by the use of the Laplace transform method. Assuming strain as a sine function, the time evolution of power per unit volume, previously derived as a sum of time derivative of a conserved term, which represents the rate of change of stored energy, and a dissipative term, which represents dissipated power, is investigated when expressed through the relaxation modulus and creep compliance. Further, two forms of energy and two forms of dissipated power per unit volume are examined in order to see whether they coincide.
{"title":"Stress and power as a response to harmonic excitation of a fractional anti‐Zener and Zener type viscoelastic body","authors":"Slađan Jelić, Dušan Zorica","doi":"10.1002/zamm.202300968","DOIUrl":"https://doi.org/10.1002/zamm.202300968","url":null,"abstract":"The stress as a response to strain prescribed as a harmonic excitation is examined in both transient and steady state regime for the viscoelastic body modeled by thermodynamically consistent fractional anti‐Zener and Zener models by the use of the Laplace transform method. Assuming strain as a sine function, the time evolution of power per unit volume, previously derived as a sum of time derivative of a conserved term, which represents the rate of change of stored energy, and a dissipative term, which represents dissipated power, is investigated when expressed through the relaxation modulus and creep compliance. Further, two forms of energy and two forms of dissipated power per unit volume are examined in order to see whether they coincide.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Qadeer Raza, Xiaodong Wang, Bagh Ali, Nehad Ali Shah
The current study investigates the thermal performance characteristics of metallic (Cu) and non‐metallic (TiO2) nanoparticles (NPs), considering variations in their shapes and sizes. Specifically, analysis is conducted for four distinct stable shapes of NPs. A hybrid model is developed to analyze the influence of rotating porous walls on the system, particularly focusing on the impact of the permeable Reynolds number and NPs within a specific range of , in conjunction with a Newtonian fluid under the influence of magnetohydrodynamics (MHDs). Additionally, we examine the phenomena of expansion/contraction in heat and mass transfer enhancement with chemical reactions. The governing partial differential equations (PDEs) are transformed into nonlinear differential equations using the help of similarity transformation. A 4th‐order Runge–Kutta method (RK), coupled with the shooting technique, is employed as a mathematical strategy to numerically solve these nonlinear differential equations. Boosting the values of 𝐾𝑐𝑟 from 2 to 10 enhances the mass transfer rate between both porous channels. Higher values of 𝑅𝑒, 𝑀, and 𝑅 lead to increasing skin friction coefficients for both porous channels. Raising the values of both NP volume fractions ( from 1% to 5% results in enhanced heat transfer rates particularly for much better in platelet‐shaped NPs as compared to other shapes such as spherical, brick, and cylinder. Larger values of 𝛼, M, and Re cause the radial velocity profile to exhibit opposite behaviors in the middle of the wall and momentum boundary layer thickness.
{"title":"Exploring shape and size variations significance in hybrid nanofluid flow via rotating porous channel","authors":"Qadeer Raza, Xiaodong Wang, Bagh Ali, Nehad Ali Shah","doi":"10.1002/zamm.202300936","DOIUrl":"https://doi.org/10.1002/zamm.202300936","url":null,"abstract":"The current study investigates the thermal performance characteristics of metallic (Cu) and non‐metallic (TiO<jats:sub>2</jats:sub>) nanoparticles (NPs), considering variations in their shapes and sizes. Specifically, analysis is conducted for four distinct stable shapes of NPs. A hybrid model is developed to analyze the influence of rotating porous walls on the system, particularly focusing on the impact of the permeable Reynolds number and NPs within a specific range of , in conjunction with a Newtonian fluid under the influence of magnetohydrodynamics (MHDs). Additionally, we examine the phenomena of expansion/contraction in heat and mass transfer enhancement with chemical reactions. The governing partial differential equations (PDEs) are transformed into nonlinear differential equations using the help of similarity transformation. A 4th‐order Runge–Kutta method (RK), coupled with the shooting technique, is employed as a mathematical strategy to numerically solve these nonlinear differential equations. Boosting the values of 𝐾<jats:sub>𝑐𝑟</jats:sub> from 2 to 10 enhances the mass transfer rate between both porous channels. Higher values of 𝑅𝑒, 𝑀, and 𝑅 lead to increasing skin friction coefficients for both porous channels. Raising the values of both NP volume fractions ( from 1% to 5% results in enhanced heat transfer rates particularly for much better in platelet‐shaped NPs as compared to other shapes such as spherical, brick, and cylinder. Larger values of 𝛼, <jats:italic>M</jats:italic>, and <jats:italic>Re</jats:italic> cause the radial velocity profile to exhibit opposite behaviors in the middle of the wall and momentum boundary layer thickness.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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