The heat transport analysis and thermal distribution in partially wetted wavy profiled fin are investigated in the current study. Convective, radiative effects and temperature‐dependent thermal conductivity are all considered in this heat transfer analysis. The dimensional governing temperature equations of the partially wetted wavy extended surface are nondimensionalized utilizing the appropriate dimensionless terms. Further, the resulting nondimensional thermal equations of the wavy fin are solved by employing Physics‐Informed Neural Network (PINN). The values of the temperature equations obtained by the numerical procedure Runge Kutta Fehlberg's fourth‐fifth (RKF‐45) order scheme are compared with PINN outcomes. The results are portrayed with the aid of tables, and the significance of several dimensionless constraints on the partially wet wavy fin is exhibited using graphical illustrations. A rise in the thermal conductivity parameter values enhances the wavy fin's thermal profile. The temperature of the wavy fin diminishes as the convective‐conductive parameter, temperature ratio parameter, and radiation‐conduction parameter upsurges.
{"title":"Predictive modeling through physics‐informed neural networks for analyzing the thermal distribution in the partially wetted wavy fin","authors":"Kalachar Karthik, Ganeshappa Sowmya, Naman Sharma, Chandan Kumar, Varun Kumar Ravikumar Shashikala, Siddesh Alur Shivaprakash, Taseer Muhammad, Harjot Singh Gill","doi":"10.1002/zamm.202400180","DOIUrl":"https://doi.org/10.1002/zamm.202400180","url":null,"abstract":"The heat transport analysis and thermal distribution in partially wetted wavy profiled fin are investigated in the current study. Convective, radiative effects and temperature‐dependent thermal conductivity are all considered in this heat transfer analysis. The dimensional governing temperature equations of the partially wetted wavy extended surface are nondimensionalized utilizing the appropriate dimensionless terms. Further, the resulting nondimensional thermal equations of the wavy fin are solved by employing Physics‐Informed Neural Network (PINN). The values of the temperature equations obtained by the numerical procedure Runge Kutta Fehlberg's fourth‐fifth (RKF‐45) order scheme are compared with PINN outcomes. The results are portrayed with the aid of tables, and the significance of several dimensionless constraints on the partially wet wavy fin is exhibited using graphical illustrations. A rise in the thermal conductivity parameter values enhances the wavy fin's thermal profile. The temperature of the wavy fin diminishes as the convective‐conductive parameter, temperature ratio parameter, and radiation‐conduction parameter upsurges.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"76 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141741102","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}
Rupa Baithalu, Titilayo M. Agbaje, Satya Ranjan Mishra, Subhajit Panda
An analysis of entropy is essential to determine the heat transfer efficiency characteristics of nanofluids in different applications. Implementation of carbon nanotubes (CNTs) that is the combined effect of “single‐wall carbon nanotube” (SWCNT) and “multi‐wall carbon nanotube” (MWCNT) in water shows their effective properties in enhancing the heat transport phenomena. In general, these are useful in different industrial processes for the better shape of the product proposed as a coolant, cancer therapy, solar radiation, etc. Based on special characteristics, the current investigation analyses the flow properties of water‐based CNT cross‐hybrid nanofluid past a convectively heated surface. The heat transport characteristic enriches by the insertion of dissipative heat, thermal radiation, and external heat source/sink. The appropriate choice of similarity rules is useful in transforming the governing designed problem in non‐dimensional form and further, a “spectral quasi‐linearization method (SQLM)” is imposed to solve the set of equations. After getting the result, the process of irreversibility due to various factors is obtained, that is, the analysis of entropy is presented briefly. The physical significance of designed factors is deployed graphically and described in the discussion section. However, the validation with the earlier result is projected to show a good correlation.
{"title":"Diversified characteristic of carbon nanotube nanoparticles on the entropy minimization for the flow of hybrid nanofluid through a convectively heated surface","authors":"Rupa Baithalu, Titilayo M. Agbaje, Satya Ranjan Mishra, Subhajit Panda","doi":"10.1002/zamm.202400259","DOIUrl":"https://doi.org/10.1002/zamm.202400259","url":null,"abstract":"An analysis of entropy is essential to determine the heat transfer efficiency characteristics of nanofluids in different applications. Implementation of carbon nanotubes (CNTs) that is the combined effect of “single‐wall carbon nanotube” (SWCNT) and “multi‐wall carbon nanotube” (MWCNT) in water shows their effective properties in enhancing the heat transport phenomena. In general, these are useful in different industrial processes for the better shape of the product proposed as a coolant, cancer therapy, solar radiation, etc. Based on special characteristics, the current investigation analyses the flow properties of water‐based CNT cross‐hybrid nanofluid past a convectively heated surface. The heat transport characteristic enriches by the insertion of dissipative heat, thermal radiation, and external heat source/sink. The appropriate choice of similarity rules is useful in transforming the governing designed problem in non‐dimensional form and further, a “<jats:italic>spectral quasi‐linearization method (SQLM)</jats:italic>” is imposed to solve the set of equations. After getting the result, the process of irreversibility due to various factors is obtained, that is, the analysis of entropy is presented briefly. The physical significance of designed factors is deployed graphically and described in the discussion section. However, the validation with the earlier result is projected to show a good correlation.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141741108","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}
Hafiz Muhammad Shahbaz, Iftikhar Ahmad, Muhammad Asif Zahoor Raja, Hira Ilyas, Kottakkaran Sooppy Nisar, Muhammad Shoaib
This study aims to develop a supervised learning artificial recurrent neural network algorithm supported by Bayesian regularization called (ARNN‐BR) to analyze the impact of physical parameters, including radius of curvature (), Casson parameter (), heat generation parameter () and radiation parameter () on velocity fʹ(η), and temperature profiles θ(η) in Casson nanofluid consisting of carbon nanotubes (CNTs‐CNF) model for single and multiwalled CNTs across a curved stretched surface. The numerical dataset of the proposed model has been constructed by varying various parameters for five scenarios that are used in a Bayesian regularization‐based intelligent computing method to build networks for approximating the numerical solutions of CNTs‐CNF model. It is observed that increment in the dimensionless radius of curvature () causes to rise an increase in the velocity profile fʹ(η) for both SWCNTs and MWCNTs. However, a contrasting trend is observed when the Casson parameter () is increased to higher values. The temperature θ(η) of fluid increases as the heat generation parameter () and radiation parameter () increase. However, an opposite behavior is noticed when the dimensionless radius of curvature () varies. The effectiveness and significance of designed Bayesian regularization based artificial recurrent neural networks (ARNN‐BR) is demonstrated through regression index measurements, error histogram studies, auto‐correlation analysis and convergence curves showing a minimal level of mean square error (E‐11 to E‐04) for the comprehensive simulations of CNTs‐CNF model. The designed ARNN‐BR algorithm is employed in many domains such as voice recognition, machine translation, identification of neurological brain illnesses as well as for automated translation of texts across different languages.
{"title":"A novel design of recurrent neural network to investigate the heat transmission of radiative Casson nanofluid flow consisting of carbon nanotubes (CNTs) across a curved stretchable surface","authors":"Hafiz Muhammad Shahbaz, Iftikhar Ahmad, Muhammad Asif Zahoor Raja, Hira Ilyas, Kottakkaran Sooppy Nisar, Muhammad Shoaib","doi":"10.1002/zamm.202400104","DOIUrl":"https://doi.org/10.1002/zamm.202400104","url":null,"abstract":"This study aims to develop a supervised learning artificial recurrent neural network algorithm supported by Bayesian regularization called (ARNN‐BR) to analyze the impact of physical parameters, including radius of curvature (), Casson parameter (), heat generation parameter () and radiation parameter () on velocity <jats:italic>fʹ</jats:italic>(<jats:italic>η</jats:italic>), and temperature profiles θ(<jats:italic>η</jats:italic>) in Casson nanofluid consisting of carbon nanotubes (CNTs‐CNF) model for single and multiwalled CNTs across a curved stretched surface. The numerical dataset of the proposed model has been constructed by varying various parameters for five scenarios that are used in a Bayesian regularization‐based intelligent computing method to build networks for approximating the numerical solutions of CNTs‐CNF model. It is observed that increment in the dimensionless radius of curvature () causes to rise an increase in the velocity profile <jats:italic>fʹ</jats:italic>(<jats:italic>η</jats:italic>) for both SWCNTs and MWCNTs. However, a contrasting trend is observed when the Casson parameter () is increased to higher values. The temperature θ(<jats:italic>η</jats:italic>) of fluid increases as the heat generation parameter () and radiation parameter () increase. However, an opposite behavior is noticed when the dimensionless radius of curvature () varies. The effectiveness and significance of designed Bayesian regularization based artificial recurrent neural networks (ARNN‐BR) is demonstrated through regression index measurements, error histogram studies, auto‐correlation analysis and convergence curves showing a minimal level of mean square error (E‐11 to E‐04) for the comprehensive simulations of CNTs‐CNF model. The designed ARNN‐BR algorithm is employed in many domains such as voice recognition, machine translation, identification of neurological brain illnesses as well as for automated translation of texts across different languages.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141741106","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}
Musharafa Saleem, Afraz Hussain Majeed, Irshad Ahmad, Ahmed Refaie Ali
This study presents a comprehensive investigation into the dynamics of an electrically magneto‐hydrodynamic (EMHD) nano‐Carreau fluid under nonlinear mixed convection. We develop a 3D steady‐state framework that incorporates various influential factors such as nonuniform heat source‐sink terms, nonlinear thermal radiation, Joule heating, and chemical reactions, along with the effects of a Riga stretched surface. Through rigorous analysis, we explore the impact of thermophoretic and Brownian motions on flow patterns and stagnation point velocities. Our study encompasses scenarios involving a Riga stretching sheet, EMHD phenomena, porous media, suction‐injection processes, and diverse slip conditions (momentum, heat, volume fractions), in conjunction with chemical reactions. By employing symmetry transformations, we transform complex partial differential equations (PDEs) into more manageable ordinary differential equations (ODEs), facilitating effective numerical solutions using the Lobatto IIIa bvp4c method in Matlab. The findings are presented through detailed graphical representations and comparative tables. Key findings include the observation that elevated Hartmann numbers contribute to reduced velocity yet enhanced temperature profiles, influenced by factors such as nonuniform heat distribution, thermal radiation, and viscous dissipation. Additionally, concentration profiles exhibit a diminishing trend with increased Lewis numbers, chemical reactions, and specific slip parameters.
{"title":"Symmetry‐based analysis of nonlinear mixed convection in 3D EMHD nano‐Carreau fluid flow with Riga stretched surface effects and multi‐physical interactions","authors":"Musharafa Saleem, Afraz Hussain Majeed, Irshad Ahmad, Ahmed Refaie Ali","doi":"10.1002/zamm.202400072","DOIUrl":"https://doi.org/10.1002/zamm.202400072","url":null,"abstract":"This study presents a comprehensive investigation into the dynamics of an electrically magneto‐hydrodynamic (EMHD) nano‐Carreau fluid under nonlinear mixed convection. We develop a 3D steady‐state framework that incorporates various influential factors such as nonuniform heat source‐sink terms, nonlinear thermal radiation, Joule heating, and chemical reactions, along with the effects of a Riga stretched surface. Through rigorous analysis, we explore the impact of thermophoretic and Brownian motions on flow patterns and stagnation point velocities. Our study encompasses scenarios involving a Riga stretching sheet, EMHD phenomena, porous media, suction‐injection processes, and diverse slip conditions (momentum, heat, volume fractions), in conjunction with chemical reactions. By employing symmetry transformations, we transform complex partial differential equations (PDEs) into more manageable ordinary differential equations (ODEs), facilitating effective numerical solutions using the Lobatto IIIa bvp4c method in Matlab. The findings are presented through detailed graphical representations and comparative tables. Key findings include the observation that elevated Hartmann numbers contribute to reduced velocity yet enhanced temperature profiles, influenced by factors such as nonuniform heat distribution, thermal radiation, and viscous dissipation. Additionally, concentration profiles exhibit a diminishing trend with increased Lewis numbers, chemical reactions, and specific slip parameters.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141741107","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}
Sanatan Das, Poly Karmakar, Asgar Ali, Ruma Rani Patra, Rabindra Nath Jana
This paper focuses on demonstrating the shear‐driven convective flow of an ionic optically thin fluid in a narrow channel formed by two vertical parallel plates subject to a Hall electric field. The Hall electric field induces Hall currents, amending the flow dynamics of the ionic fluid. The setup involves a stationary left wall and a right wall that either undergoes impulsive motion (IM) or accelerated motion (AM), which initiates the fluid flow. A unified closed‐form solution for flow‐regulating equations is derived by harnessing the Laplace transform (LT) approach. The upshots of cardinal parameters on the velocity components and temperature distributions, shear stresses, and rate of heat transfer (RHT) are elucidated via graphics for both IM and AM scenarios. The graphs reveal that an intensification in the Hall parameter notably boosts the velocity components in both IM and AM cases. The primary and secondary velocities are consistently higher for IM than AM. The magnitude of shear stresses at the moving wall is always greater for IM than AM. Additionally, the shear stresses at the moving wall are notably greater for IM than AM, and the RHT at the moving wall reduces as the radiation parameter amplifies. The significant findings of this research have potential applications in electromagnetic propulsion systems, like plasma or ion thrusters, commonly employed in propelling spacecraft.
本文重点论证了在霍尔电场作用下，离子型光学稀薄流体在由两块垂直平行板形成的狭窄通道中的剪切驱动对流。霍尔电场诱发霍尔电流，改变了离子液体的流动动力学。该装置包括一个静止的左壁和一个右壁，左壁和右壁都会发生脉冲运动（IM）或加速运动（AM），从而引发流体流动。通过利用拉普拉斯变换（LT）方法，得出了流动调节方程的统一闭式解。在 IM 和 AM 两种情况下，主要参数对速度分量和温度分布、剪切应力以及热传导率（RHT）的影响都通过图形得到了阐释。图表显示，霍尔参数的增强显著提高了 IM 和 AM 两种情况下的速度分量。IM 的一级和二级速度始终高于 AM。在运动壁上的剪应力大小，IM 总是大于 AM。此外，移动壁上的剪应力在 IM 情况下明显大于 AM 情况下，移动壁上的 RHT 随着辐射参数的放大而减小。这项研究的重要发现有望应用于电磁推进系统，如通常用于推进航天器的等离子或离子推进器。
{"title":"Shear‐driven flow of an ionic fluid in a narrow vertical channel under a Hall electric field","authors":"Sanatan Das, Poly Karmakar, Asgar Ali, Ruma Rani Patra, Rabindra Nath Jana","doi":"10.1002/zamm.202301079","DOIUrl":"https://doi.org/10.1002/zamm.202301079","url":null,"abstract":"This paper focuses on demonstrating the shear‐driven convective flow of an ionic optically thin fluid in a narrow channel formed by two vertical parallel plates subject to a Hall electric field. The Hall electric field induces Hall currents, amending the flow dynamics of the ionic fluid. The setup involves a stationary left wall and a right wall that either undergoes impulsive motion (IM) or accelerated motion (AM), which initiates the fluid flow. A unified closed‐form solution for flow‐regulating equations is derived by harnessing the Laplace transform (LT) approach. The upshots of cardinal parameters on the velocity components and temperature distributions, shear stresses, and rate of heat transfer (RHT) are elucidated via graphics for both IM and AM scenarios. The graphs reveal that an intensification in the Hall parameter notably boosts the velocity components in both IM and AM cases. The primary and secondary velocities are consistently higher for IM than AM. The magnitude of shear stresses at the moving wall is always greater for IM than AM. Additionally, the shear stresses at the moving wall are notably greater for IM than AM, and the RHT at the moving wall reduces as the radiation parameter amplifies. The significant findings of this research have potential applications in electromagnetic propulsion systems, like plasma or ion thrusters, commonly employed in propelling spacecraft.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141741109","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}
Ali Imran, Mazhar Abbas, Saeed Ehsan Awan, Muhammad Shoaib, Muhammad Asif Zahoor Raja
In this investigation, a comprehensive study has been made to reveal electro osmosis flow through a tapered ciliated symmetric porous channel. The flow is initiated due to metachronal dynamics of cilia. Axial electric field is deployed and thermal radiation phenomenon is scrutinised by applying convective conditions. The equations tackling the flow are non dimensionalized and simplified by capitalizing the low Reynolds number and long wave length approximations. Analytical solution is presented for well reputed Poissson equation and the axial velocity. Whereas, traverse velocity, temperature and nanofluids concentration profiles are examined numerically in MATHEMATICA. Variation of emerging crucial parameters on the velocity profile, temperature and concentration profiles, pressure gradient, pressure rise per wavelength, and on the velocity distribution inside the micro ciliated are exhibited with the aid of graphical deliberations. It worth to mention in this work that in case of tapered channel transverse velocity also has significant contribution in the flow, which is observed trivial in symmetric and non‐symmetric channel flows. Temperature of the nanofluid in the ciliated tapered channel is raised with permeability and thermal radiations phenomena and can be controlled with Helmholtz Smoluchowski velocity, and electroosmotic parameter. Pumping phenomena is affected with increase in Helmholtz Smoluchowski velocity and permeability. Reported investigation cover a informative insight about biological fluid system, may be beneficial for the understanding the flow through ductus efferentes of human reproductive tract since it assumed that cilia are responsible for the transport of sperm from rete testis to the epididymis, also have worth in cilia designed bio‐sensors and in certain drug delivery systems.
{"title":"Electro osmotic flow of nanofluids within a porous symmetric tapered ciliated channel","authors":"Ali Imran, Mazhar Abbas, Saeed Ehsan Awan, Muhammad Shoaib, Muhammad Asif Zahoor Raja","doi":"10.1002/zamm.202300838","DOIUrl":"https://doi.org/10.1002/zamm.202300838","url":null,"abstract":"In this investigation, a comprehensive study has been made to reveal electro osmosis flow through a tapered ciliated symmetric porous channel. The flow is initiated due to metachronal dynamics of cilia. Axial electric field is deployed and thermal radiation phenomenon is scrutinised by applying convective conditions. The equations tackling the flow are non dimensionalized and simplified by capitalizing the low Reynolds number and long wave length approximations. Analytical solution is presented for well reputed Poissson equation and the axial velocity. Whereas, traverse velocity, temperature and nanofluids concentration profiles are examined numerically in MATHEMATICA. Variation of emerging crucial parameters on the velocity profile, temperature and concentration profiles, pressure gradient, pressure rise per wavelength, and on the velocity distribution inside the micro ciliated are exhibited with the aid of graphical deliberations. It worth to mention in this work that in case of tapered channel transverse velocity also has significant contribution in the flow, which is observed trivial in symmetric and non‐symmetric channel flows. Temperature of the nanofluid in the ciliated tapered channel is raised with permeability and thermal radiations phenomena and can be controlled with Helmholtz Smoluchowski velocity, and electroosmotic parameter. Pumping phenomena is affected with increase in Helmholtz Smoluchowski velocity and permeability. Reported investigation cover a informative insight about biological fluid system, may be beneficial for the understanding the flow through ductus efferentes of human reproductive tract since it assumed that cilia are responsible for the transport of sperm from rete testis to the epididymis, also have worth in cilia designed bio‐sensors and in certain drug delivery systems.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141746332","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}
M. Adel, Khaled Lotfy, Anand Kumar Yadav, E. Ibrahim
The objective of this study is to investigate the effects of rotation field on a semiconductor material with general photo‐piezo‐thermo‐elastic characteristics. The primary goal is to analyze how the semiconductor behaves under and laser pulse effect. The research assumes that the piezo‐semiconductor medium being studied is uniform and has consistent orthotropic properties when it is subjected to photo‐thermal excitation according to moisture plasma diffusion processes. The piezoelectric phenomenon's impact can be determined by employing Gauss's law of electrostatics. Several important variables, including temperature distribution field, carrier density from both types of moisture, electric potential displacement, and stress components, have been precisely calculated using the normal mode approach. The study uses graphical representation to show how the physical field distribution changes with different times, rotation parameters, and thermal conductivity. The findings indicate that various factors, including time, thermal coupling parameter, and rotation field, have a significant impact on the amplitude of the distribution profile, and align with the observed physical outcomes. These factors must be taken into consideration when analyzing and designing piezo‐semiconductors.
{"title":"Orthotropic rotational semiconductor material with piezo‐photothermal plasma waves with moisture plasma diffusion and laser pulse","authors":"M. Adel, Khaled Lotfy, Anand Kumar Yadav, E. Ibrahim","doi":"10.1002/zamm.202301004","DOIUrl":"https://doi.org/10.1002/zamm.202301004","url":null,"abstract":"The objective of this study is to investigate the effects of rotation field on a semiconductor material with general photo‐piezo‐thermo‐elastic characteristics. The primary goal is to analyze how the semiconductor behaves under and laser pulse effect. The research assumes that the piezo‐semiconductor medium being studied is uniform and has consistent orthotropic properties when it is subjected to photo‐thermal excitation according to moisture plasma diffusion processes. The piezoelectric phenomenon's impact can be determined by employing Gauss's law of electrostatics. Several important variables, including temperature distribution field, carrier density from both types of moisture, electric potential displacement, and stress components, have been precisely calculated using the normal mode approach. The study uses graphical representation to show how the physical field distribution changes with different times, rotation parameters, and thermal conductivity. The findings indicate that various factors, including time, thermal coupling parameter, and rotation field, have a significant impact on the amplitude of the distribution profile, and align with the observed physical outcomes. These factors must be taken into consideration when analyzing and designing piezo‐semiconductors.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608542","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}
S. Abhilash Anand Kumar, S. Sreedhar, M. Gayathri, M. Veera Krishna
The present article provides a detailed analysis of the Darcy–Forchheimer flow of hybrid nanofluid past a porous stretching sheet. The carbon nanotubes and Al2O3 (aluminium oxide) are used to synthesize hybrid nanofluid. The nanoparticles of carbon nanotubes have attained fame to enhance the thermo‐physical features of fluid particles. The inclusion of nanoparticles of multi‐wall carbon nanotube (MWCNTs)/single‐wall carbon nanotubes (SWCNTs) and alumina in water past a stretching sheet by the magnetic field, thermal radiation, heat dissipation as well as slip conditions is computationally explored. The hybrid nanofluid flow experiences the unsteady non‐Darcy relation across two‐dimensional stretchable surface. At first, the governing partial differential equations of the projected modelling are in non‐dimensional and to attain the ordinary differential equations via the appropriate dimensionless similarity transformations and are then computationally explored by bvp4c MATLAB solver. The pertinent parameters of the associated model are demonstrated by the graphical profiles and tables. Furthermore, magnetic parameter, porosity parameter and inertia coefficient parameter tend to retards the flow pattern of hybrid nanofluid. The SWCNTs‐alumina/water experiences more resistive force as compared to the MWCNTs‐alumina/water. Higher values of Forchheimer parameter retards velocity profile as MWCNTs‐alumina/water flow overshoots SWCNTs‐/alumina water. The enhancement of volume fraction of MWCNTs and SWCNTs enhanced the rate of heat transfer throughout the fluid region.
{"title":"Darcy–Forchheimer modelling on unsteady MHD convection flow of a hybrid nanofluids (CNTs–Al2O3/H2O) over a stretching sheet","authors":"S. Abhilash Anand Kumar, S. Sreedhar, M. Gayathri, M. Veera Krishna","doi":"10.1002/zamm.202300800","DOIUrl":"https://doi.org/10.1002/zamm.202300800","url":null,"abstract":"The present article provides a detailed analysis of the Darcy–Forchheimer flow of hybrid nanofluid past a porous stretching sheet. The carbon nanotubes and Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub> (aluminium oxide) are used to synthesize hybrid nanofluid. The nanoparticles of carbon nanotubes have attained fame to enhance the thermo‐physical features of fluid particles. The inclusion of nanoparticles of multi‐wall carbon nanotube (MWCNTs)/single‐wall carbon nanotubes (SWCNTs) and alumina in water past a stretching sheet by the magnetic field, thermal radiation, heat dissipation as well as slip conditions is computationally explored. The hybrid nanofluid flow experiences the unsteady non‐Darcy relation across two‐dimensional stretchable surface. At first, the governing partial differential equations of the projected modelling are in non‐dimensional and to attain the ordinary differential equations via the appropriate dimensionless similarity transformations and are then computationally explored by bvp4c MATLAB solver. The pertinent parameters of the associated model are demonstrated by the graphical profiles and tables. Furthermore, magnetic parameter, porosity parameter and inertia coefficient parameter tend to retards the flow pattern of hybrid nanofluid. The SWCNTs‐alumina/water experiences more resistive force as compared to the MWCNTs‐alumina/water. Higher values of Forchheimer parameter retards velocity profile as MWCNTs‐alumina/water flow overshoots SWCNTs‐/alumina water. The enhancement of volume fraction of MWCNTs and SWCNTs enhanced the rate of heat transfer throughout the fluid region.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608539","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}
Fluids with enhanced heat transport characteristics are essential for efficient convection heat transportation. Hybrid nanofluids have demonstrated their effectiveness as viable substitutes for conventional heat transport fluids. This study explores the heat and mass exchange occurring within a chemically reactive, unsteady boundary layer flow of a copper oxide‐multi‐walled carbon nanotubes (CuO‐MWCNTs)/ethylene glycol Jeffrey hybrid nanofluid. Additionally, the influence of heat source/sink effects in a hydromagnetic environment is carefully added. The study employs a non‐Newtonian flow model and incorporates the Arrhenius activation energy for analysis. The hybrid nanofluid consists of a base fluid, ethylene glycol, enriched with copper oxide nanoparticles and multi‐walled carbon nanotubes. The governing coupled non‐linear partial differential equations are transformed into ordinary differential equations using similarity transformations, considering appropriate free stream, and wall boundary conditions; then, the Shooting method is employed to solve the resulting ordinary differential equations (ODEs) in MATLAB. The graphical and numerical outcomes are studied for various parameter combinations. The graphs illustrate the numerical results for the CuO‐MWCNTs/ethylene glycol hybrid nanofluid. These results are comprehensively discussed to analyze the influence of different thermo‐fluidic parameters on the Jeffrey hybrid nanofluid's heat, mass, and flow characteristics. The skin friction, Nusselt number, and Sherwood number are provided in a numerical table that displays the alterations of these parameters across various parameter values. As the Jeffrey fluid parameter rises, the Nusselt number and skin friction escalate, while the Sherwood number diminishes. Conversely, as the Deborah number rises, the Nusselt number and skin friction decline, but the Sherwood number increases. A comparative analysis with published results confirms the consistency of the present results.
{"title":"Asymptotic analysis of MHD chemically reacting boundary layer flow of Jeffrey hybrid nanofluid","authors":"Santhosh Kumar Kathuroju, Preeti Prashar, Odelu Ojjela","doi":"10.1002/zamm.202300770","DOIUrl":"https://doi.org/10.1002/zamm.202300770","url":null,"abstract":"Fluids with enhanced heat transport characteristics are essential for efficient convection heat transportation. Hybrid nanofluids have demonstrated their effectiveness as viable substitutes for conventional heat transport fluids. This study explores the heat and mass exchange occurring within a chemically reactive, unsteady boundary layer flow of a copper oxide‐multi‐walled carbon nanotubes (CuO‐MWCNTs)/ethylene glycol Jeffrey hybrid nanofluid. Additionally, the influence of heat source/sink effects in a hydromagnetic environment is carefully added. The study employs a non‐Newtonian flow model and incorporates the Arrhenius activation energy for analysis. The hybrid nanofluid consists of a base fluid, ethylene glycol, enriched with copper oxide nanoparticles and multi‐walled carbon nanotubes. The governing coupled non‐linear partial differential equations are transformed into ordinary differential equations using similarity transformations, considering appropriate free stream, and wall boundary conditions; then, the Shooting method is employed to solve the resulting ordinary differential equations (ODEs) in MATLAB. The graphical and numerical outcomes are studied for various parameter combinations. The graphs illustrate the numerical results for the CuO‐MWCNTs/ethylene glycol hybrid nanofluid. These results are comprehensively discussed to analyze the influence of different thermo‐fluidic parameters on the Jeffrey hybrid nanofluid's heat, mass, and flow characteristics. The skin friction, Nusselt number, and Sherwood number are provided in a numerical table that displays the alterations of these parameters across various parameter values. As the Jeffrey fluid parameter rises, the Nusselt number and skin friction escalate, while the Sherwood number diminishes. Conversely, as the Deborah number rises, the Nusselt number and skin friction decline, but the Sherwood number increases. A comparative analysis with published results confirms the consistency of the present results.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608540","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}
O. D. Makinde, Zafar Hayat Khan, Alexander Trounev, Waqar A. Khan, Rashid Ahmad
This paper presents a theoretical investigation of the inherent irreversibility in unsteady fractional time derivative mixed convection of a reacting nanofluid with heat and mass transfer mechanism over a slippery permeable plate embedded in a Darcy–Forchheimer porous medium. The model fractional partial differential equations are obtained based on conservation laws and numerically solved using the implicit finite difference scheme. The study displays and discusses the effects of various emerging parameters on the overall flow structure, such as velocity profiles, temperature distribution, nanoparticles concentration profiles, skin friction, Nusselt number, Sherwood number, entropy generation rate, and Bejan number. It was found that an increase in dimensionless time and fractional parameters leads to a decrease in both the entropy generation rate and the Bejan number. The study revealed that fractional order derivatives can capture intrinsic memory effects, non‐local behaviour, and anomalous diffusion in the nanofluid flow process. This can ultimately lead to better engineering system design and control.
{"title":"Fractional dynamics of entropy generation in unsteady mixed convection of a reacting nanofluid over a slippery permeable plate in Darcy–Forchheimer porous medium","authors":"O. D. Makinde, Zafar Hayat Khan, Alexander Trounev, Waqar A. Khan, Rashid Ahmad","doi":"10.1002/zamm.202400083","DOIUrl":"https://doi.org/10.1002/zamm.202400083","url":null,"abstract":"This paper presents a theoretical investigation of the inherent irreversibility in unsteady fractional time derivative mixed convection of a reacting nanofluid with heat and mass transfer mechanism over a slippery permeable plate embedded in a Darcy–Forchheimer porous medium. The model fractional partial differential equations are obtained based on conservation laws and numerically solved using the implicit finite difference scheme. The study displays and discusses the effects of various emerging parameters on the overall flow structure, such as velocity profiles, temperature distribution, nanoparticles concentration profiles, skin friction, Nusselt number, Sherwood number, entropy generation rate, and Bejan number. It was found that an increase in dimensionless time and fractional parameters leads to a decrease in both the entropy generation rate and the Bejan number. The study revealed that fractional order derivatives can capture intrinsic memory effects, non‐local behaviour, and anomalous diffusion in the nanofluid flow process. This can ultimately lead to better engineering system design and control.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141584663","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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