Muhammad Shoaib Kamran, Muhammad Irfan, Muavia Mansoor, Taseer Muhammad, Qazi Mahmood Ul‐Hassan
Recently, nanofluids, which are solutions of fluids mixed with suspended nano‐particles, for instance, carbon nanotubes, metals, and metal oxides, have become a favorable alternative to conventional coolants. Caused by their outstanding thermal performance of conductivity, nanofluids are extensively used in battery‐operated drums, thermoelectric producers, and solar power. The suspension of minor solid components in energy dispersion fluids boosts their thermal enactment of conductivity and gives an economical and resourceful method to increase their transfer properties of heat significantly. Furthermore, additions of nanofluids to numerous engineering and mechanical matters, for instance, electrical kit conserving, heat exchangers, and chemical progressions, are uses of nanofluid. Here, the purpose of this work is to elaborate on the flow of Maxwell nanofluid by considering chemical reactions and heat sink/source. The mathematical structure is established with the presence of Brownian movement and thermophoresis effects. The remarkable aspects of non‐Fourier heat flux are also considered with the transport phenomenon of convective conditions. The similarity alterations change the partial differential equations (PDEs) into ordinary differential equations (ODEs). The obtained expressions of ODEs are solved numerically via the bvp4c approach. The graphical sketches display the declining behavior of Maxwell factor for velocity; however, the same impacts are examined for Brownian and thermophoresis factors. Furthermore, Schmidt and chemical reaction factors decline the concentration field of Maxwell nanofluid.
{"title":"Significance of Cattaneo–Christov heat flux theory and convective heat transport on Maxwell nanofluid flow","authors":"Muhammad Shoaib Kamran, Muhammad Irfan, Muavia Mansoor, Taseer Muhammad, Qazi Mahmood Ul‐Hassan","doi":"10.1002/zamm.202400006","DOIUrl":"https://doi.org/10.1002/zamm.202400006","url":null,"abstract":"Recently, nanofluids, which are solutions of fluids mixed with suspended nano‐particles, for instance, carbon nanotubes, metals, and metal oxides, have become a favorable alternative to conventional coolants. Caused by their outstanding thermal performance of conductivity, nanofluids are extensively used in battery‐operated drums, thermoelectric producers, and solar power. The suspension of minor solid components in energy dispersion fluids boosts their thermal enactment of conductivity and gives an economical and resourceful method to increase their transfer properties of heat significantly. Furthermore, additions of nanofluids to numerous engineering and mechanical matters, for instance, electrical kit conserving, heat exchangers, and chemical progressions, are uses of nanofluid. Here, the purpose of this work is to elaborate on the flow of Maxwell nanofluid by considering chemical reactions and heat sink/source. The mathematical structure is established with the presence of Brownian movement and thermophoresis effects. The remarkable aspects of non‐Fourier heat flux are also considered with the transport phenomenon of convective conditions. The similarity alterations change the partial differential equations (PDEs) into ordinary differential equations (ODEs). The obtained expressions of ODEs are solved numerically via the bvp4c approach. The graphical sketches display the declining behavior of Maxwell factor for velocity; however, the same impacts are examined for Brownian and thermophoresis factors. Furthermore, Schmidt and chemical reaction factors decline the concentration field of Maxwell nanofluid.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178076","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}
Electroosmosis effects in a peristaltic transport of nanofluids are significant for developing the biomimetic pumping structure at a microscopic extent in physiological medications, for instance, ocular drug delivery systems. The present article addresses the numerical assessment of a peristaltically driven electro‐osmotic flow of a Williamson hybrid nanofluid. The flow is intended to be two‐dimensional, incompressible, unsteady, and subjected to an asymmetric tapered micro‐channel. The characteristics of hybrid nanofluid, which consists of silver (Ag) and copper (Cu) as nanoparticles with base fluid‐blood, are explored in a relative manner with regular nanofluid Ag‐blood. Further, the study includes the impact of linear thermal radiation, energy dissipation through viscosity and resistance phenomena with an externally applied consistent magnetic field. The mathematical model is simplified using dimensionless similarity transformations and numerically solved via MATLAB software. Variations in momentum, thermal energy, and entropy generation against various emerging physical parameters are deliberated through graphical results. Longitudinal velocity towards the center line and heat transfer rate is also analyzed through numerical data illustrated in table form. This study introduces a novel mathematical model for the peristaltically driven electroosmosis flow of Ag‐Cu/blood hybrid nanofluid in a tapered asymmetric microchannel, incorporating external electric and magnetic field effects.
{"title":"Thermal radiation effect in electroosmosis regulated peristalsis transport of Williamson hybrid nanofluid via an asymmetric tapered channel","authors":"Santosh Chaudhary, Kiran Kunwar Chouhan","doi":"10.1002/zamm.202301081","DOIUrl":"https://doi.org/10.1002/zamm.202301081","url":null,"abstract":"Electroosmosis effects in a peristaltic transport of nanofluids are significant for developing the biomimetic pumping structure at a microscopic extent in physiological medications, for instance, ocular drug delivery systems. The present article addresses the numerical assessment of a peristaltically driven electro‐osmotic flow of a Williamson hybrid nanofluid. The flow is intended to be two‐dimensional, incompressible, unsteady, and subjected to an asymmetric tapered micro‐channel. The characteristics of hybrid nanofluid, which consists of silver (Ag) and copper (Cu) as nanoparticles with base fluid‐blood, are explored in a relative manner with regular nanofluid Ag‐blood. Further, the study includes the impact of linear thermal radiation, energy dissipation through viscosity and resistance phenomena with an externally applied consistent magnetic field. The mathematical model is simplified using dimensionless similarity transformations and numerically solved via MATLAB software. Variations in momentum, thermal energy, and entropy generation against various emerging physical parameters are deliberated through graphical results. Longitudinal velocity towards the center line and heat transfer rate is also analyzed through numerical data illustrated in table form. This study introduces a novel mathematical model for the peristaltically driven electroosmosis flow of Ag‐Cu/blood hybrid nanofluid in a tapered asymmetric microchannel, incorporating external electric and magnetic field effects.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178075","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}
Vikash Kumar, Pritam Pattanayak, Ashish Kumar Mehar, Subrata Kumar Panda
Firstly, the effect of damages (crack and delamination) on frequency responses of the polymeric composite structures is predicted numerically in this research. The responses are computed numerically using the finite element technique associated with a higher‐order deformation kinematic model. The model accuracy has been verified by comparing the published frequency responses and in‐house experimental data. The verified model is extended to generate the desired data (frequencies) utilizing various input parameters related to the geometrical forms and damage types (shapes, sizes, and positions). Further, different machine learning models (MLMs) are developed using Python algorithms for the identification of structural health. In this regard, the extracted data sets are initially used to train the MLM, detect the damages, and identify types of damage and damage‐related data of polymeric structures. Out of all kinds of MLMs, it is understood that the Random Forest Classifier provides the best result, which had an accuracy of 94.66% with the optimal parameters. The precision accomplished is 97% for intact and 94% for damaged structures. The proposed algorithm is also capable of identifying the damage‐related parameters (shape, size, type, and position) and predicting the defects early to prevent unintended mishaps.
{"title":"Frequency data driven damage detection of polymeric composite structural health using machine learning models","authors":"Vikash Kumar, Pritam Pattanayak, Ashish Kumar Mehar, Subrata Kumar Panda","doi":"10.1002/zamm.202400481","DOIUrl":"https://doi.org/10.1002/zamm.202400481","url":null,"abstract":"Firstly, the effect of damages (crack and delamination) on frequency responses of the polymeric composite structures is predicted numerically in this research. The responses are computed numerically using the finite element technique associated with a higher‐order deformation kinematic model. The model accuracy has been verified by comparing the published frequency responses and in‐house experimental data. The verified model is extended to generate the desired data (frequencies) utilizing various input parameters related to the geometrical forms and damage types (shapes, sizes, and positions). Further, different machine learning models (MLMs) are developed using Python algorithms for the identification of structural health. In this regard, the extracted data sets are initially used to train the MLM, detect the damages, and identify types of damage and damage‐related data of polymeric structures. Out of all kinds of MLMs, it is understood that the Random Forest Classifier provides the best result, which had an accuracy of 94.66% with the optimal parameters. The precision accomplished is 97% for intact and 94% for damaged structures. The proposed algorithm is also capable of identifying the damage‐related parameters (shape, size, type, and position) and predicting the defects early to prevent unintended mishaps.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177942","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}
In this study, we analysed a moving crack at the interface of an infinitely long piezoelectric bilayer using the Dugdale–Barenblatt yield (DBY) model and the polarisation saturation (PS) model. To model the moving crack problem, a Yoffe‐type crack moves at a constant subsonic speed on the interface of an infinitely long piezoelectric bilayer. The crack faces are assumed to be semi‐permeable, and at the boundary of the bilayer, in‐plane electrical and out‐of‐plane mechanical stresses are applied. Due to the application of electro‐mechanical loads, cracks propagate, mechanical yielding zones and electric saturation zones are developed. To arrest the crack from further propagation, mechanical yield stress and saturation electric displacement are applied at the developed zones. To address this problem analytically and numerically, the mixed boundary value problem is transformed into a set of coupled Fredholm integral equations (FIEs) of the second kind using the Fourier transform and the Copson method. The closed‐form analytical expressions for the length of the electrical saturation zone (ESZ), whether longer, shorter or equal to the mechanical yielding zone (MYZ), show dependence on external electro‐mechanical loads under semi‐permeable crack conditions. The algorithm to solve the electric crack condition parameter (ECCP) has been defined using numerical discretization and the bisection method. Illustrative examples demonstrate the proposed technique's effectiveness and suitability for Yoffe‐type moving cracks. The numerical results show the convergence of the ECCP. Furthermore, the numerical results show how mechanical and electrical zone lengths and energy release rate (ERR) are affected by electrical and mechanical loads, strip thickness and crack velocity. In addition, the size of the mechanical yielding zone is consistently promoted by electrical load, while the promotion or prevention of the electrical saturation zone by mechanical load depends on the relative sizes of the nonlinear zones.
{"title":"Numerical solution for the interior electric displacement of the moving DBY‐PS model for semi‐permeable cracked piezoelectric material","authors":"Vikram Singh, Kamlesh Jangid","doi":"10.1002/zamm.202400361","DOIUrl":"https://doi.org/10.1002/zamm.202400361","url":null,"abstract":"In this study, we analysed a moving crack at the interface of an infinitely long piezoelectric bilayer using the Dugdale–Barenblatt yield (DBY) model and the polarisation saturation (PS) model. To model the moving crack problem, a Yoffe‐type crack moves at a constant subsonic speed on the interface of an infinitely long piezoelectric bilayer. The crack faces are assumed to be semi‐permeable, and at the boundary of the bilayer, in‐plane electrical and out‐of‐plane mechanical stresses are applied. Due to the application of electro‐mechanical loads, cracks propagate, mechanical yielding zones and electric saturation zones are developed. To arrest the crack from further propagation, mechanical yield stress and saturation electric displacement are applied at the developed zones. To address this problem analytically and numerically, the mixed boundary value problem is transformed into a set of coupled Fredholm integral equations (FIEs) of the second kind using the Fourier transform and the Copson method. The closed‐form analytical expressions for the length of the electrical saturation zone (ESZ), whether longer, shorter or equal to the mechanical yielding zone (MYZ), show dependence on external electro‐mechanical loads under semi‐permeable crack conditions. The algorithm to solve the electric crack condition parameter (ECCP) has been defined using numerical discretization and the bisection method. Illustrative examples demonstrate the proposed technique's effectiveness and suitability for Yoffe‐type moving cracks. The numerical results show the convergence of the ECCP. Furthermore, the numerical results show how mechanical and electrical zone lengths and energy release rate (ERR) are affected by electrical and mechanical loads, strip thickness and crack velocity. In addition, the size of the mechanical yielding zone is consistently promoted by electrical load, while the promotion or prevention of the electrical saturation zone by mechanical load depends on the relative sizes of the nonlinear zones.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"152 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178078","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}
This study has investigated a Darcy‐Forchheimer thin film flow over an extended horizontal surface with thermal radiation and chemical reaction effects. The governing time‐dependent equations have been non‐dimensionalized using similarity transformations and solved numerically using the fourth‐order Runge‐Kutta method and the shooting technique. The influence of magnetohydrodynamics, non‐uniform heat sourcing, viscous heat radiation, and chemical reactions on temperature, velocity, skin friction, Nusselt, and Sherwood numbers has been examined. Results have shown that porous media, magnetic field, and transient effects decrease the velocity profile, while thermal radiation and variable thermal properties enhance temperature distributions. Findings have indicated that the magnetic field and porosity enhance the skin friction coefficient whereas the heat transfer rate increases with Eckert number and Prandtl number. Rising the chemical reaction parameter from 0.2 to 0.5 rises the mass transfer rate by approximately 9.85%. The thermal analysis of MHD Darcy‐Forchheimer thin film flow in a porous system has been crucial for understanding heat transfer and fluid dynamics in complex environments. It helped in optimizing various engineering processes, such as cooling systems, filtration, and energy conversion, by providing insights into temperature distribution, convective heat transfer, and fluid behavior. This analysis has aided in designing efficient and reliable systems with improved performance and reduced energy consumption.
{"title":"Thermal analysis of MHD unsteady Darcy‐Forchheimer thin film flow in a porous system","authors":"Gomathy G, B. Rushi Kumar","doi":"10.1002/zamm.202300935","DOIUrl":"https://doi.org/10.1002/zamm.202300935","url":null,"abstract":"This study has investigated a Darcy‐Forchheimer thin film flow over an extended horizontal surface with thermal radiation and chemical reaction effects. The governing time‐dependent equations have been non‐dimensionalized using similarity transformations and solved numerically using the fourth‐order Runge‐Kutta method and the shooting technique. The influence of magnetohydrodynamics, non‐uniform heat sourcing, viscous heat radiation, and chemical reactions on temperature, velocity, skin friction, Nusselt, and Sherwood numbers has been examined. Results have shown that porous media, magnetic field, and transient effects decrease the velocity profile, while thermal radiation and variable thermal properties enhance temperature distributions. Findings have indicated that the magnetic field and porosity enhance the skin friction coefficient whereas the heat transfer rate increases with Eckert number and Prandtl number. Rising the chemical reaction parameter from 0.2 to 0.5 rises the mass transfer rate by approximately 9.85%. The thermal analysis of MHD Darcy‐Forchheimer thin film flow in a porous system has been crucial for understanding heat transfer and fluid dynamics in complex environments. It helped in optimizing various engineering processes, such as cooling systems, filtration, and energy conversion, by providing insights into temperature distribution, convective heat transfer, and fluid behavior. This analysis has aided in designing efficient and reliable systems with improved performance and reduced energy consumption.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178081","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}
Hina Zahir, Javaria Akram, Mustafa Bayram, Mehnaz Shakeel, Rabbia Fatima, Shahram Rezapour, Mustafa Inc
This study examines entropy generation in the peristaltic flow of Johnson–Segalman fluid through a curved channel, considering the effects of Hall and ion slip due to an externally applied magnetic field and activation energy. The fluid dynamics are modeled using a highly nonlinear mathematical framework, which is non‐dimensionalized and simplified with a lubrication approach. Numerical solutions are obtained using the shooting technique to analyze fluid flow properties. The results, presented graphically, provide a comprehensive understanding of the interactions between the non‐Newtonian characteristics of the Johnson–Segalman fluid, entropy generation, and activation energy effects. The study finds that increasing the Hall parameter enhances entropy generation. Higher activation energy increases the rate of chemical reactions and by‐products, raising system randomness. Additionally, reducing the channel curvature or increasing the curvature parameter elevates the system's entropy. These insights are valuable for biomedical and industrial applications.
{"title":"Entropy generation in Johnson–Segalman peristaltic flow with magnetic field and activation energy","authors":"Hina Zahir, Javaria Akram, Mustafa Bayram, Mehnaz Shakeel, Rabbia Fatima, Shahram Rezapour, Mustafa Inc","doi":"10.1002/zamm.202300989","DOIUrl":"https://doi.org/10.1002/zamm.202300989","url":null,"abstract":"This study examines entropy generation in the peristaltic flow of Johnson–Segalman fluid through a curved channel, considering the effects of Hall and ion slip due to an externally applied magnetic field and activation energy. The fluid dynamics are modeled using a highly nonlinear mathematical framework, which is non‐dimensionalized and simplified with a lubrication approach. Numerical solutions are obtained using the shooting technique to analyze fluid flow properties. The results, presented graphically, provide a comprehensive understanding of the interactions between the non‐Newtonian characteristics of the Johnson–Segalman fluid, entropy generation, and activation energy effects. The study finds that increasing the Hall parameter enhances entropy generation. Higher activation energy increases the rate of chemical reactions and by‐products, raising system randomness. Additionally, reducing the channel curvature or increasing the curvature parameter elevates the system's entropy. These insights are valuable for biomedical and industrial applications.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"108 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178079","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}
This paper concerns the long‐time dynamics of a thermoelastic Bresse system with mass diffusion. We prove the existence of a global attractor by showing that the system is gradient and asymptotically smooth. In addition, the attractor is characterized as an unstable manifold of the set of stationary solutions. The quasi‐stability of the system and the finite fractal dimension of the global attractor are established by a stabilizability inequality. Finally, we prove the upper semicontinuity of the global attractor regarding the parameter in a dense residual set.
{"title":"Attractors of a thermoelastic Bresse system with mass diffusion","authors":"Haiyan Li, Victor R. Cabanillas, Baowei Feng","doi":"10.1002/zamm.202300502","DOIUrl":"https://doi.org/10.1002/zamm.202300502","url":null,"abstract":"This paper concerns the long‐time dynamics of a thermoelastic Bresse system with mass diffusion. We prove the existence of a global attractor by showing that the system is gradient and asymptotically smooth. In addition, the attractor is characterized as an unstable manifold of the set of stationary solutions. The quasi‐stability of the system and the finite fractal dimension of the global attractor are established by a stabilizability inequality. Finally, we prove the upper semicontinuity of the global attractor regarding the parameter in a dense residual set.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142178080","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}
Muhammad Mumtaz, Saeed Islam, Hakeem Ullah, Abdullah Dawar, Zahir Shah
Energy scarcity is among the biggest global challenges which is aggravating with each passing day due to ever increasing energy demands of contemporary livings as well as industrial requirements verses finite and rapidly depleting fossil reserves of our planet. Improving energy efficiency is one of the effective ways to cope with this challenge. Ternary nanofluids (TNF) are a dynamic novel class of fluids possessing unique thermophysical and other functional characteristics making them the most efficient heat transporting fluids of 21st century. These fluids have promising applications in major manufacturing and processing industries, emerging nanotechnologies and bio‐medical domains. The novel theme of this pragmatic study is analysis of bio‐convective TNF flow by stretchable porous curved surface considering effects of thermal radiation, chemical reaction, magnetic field, and various slip constraints. The modeled partial differential equations (PDEs) governing fluid flow under presumptions are converted to ordinary differential equations (ODEs) by suitable transformation relations. Numerical solutions are presented in graphical sketches and tabular forms using MATLAB bvp4c package for physical interpretations of sundry controlling variables impacts. To gauge veracity of computed results, comparisons with already published results have been presented. Moreover, the statistical concept of Pearson correlation coefficient has been employed to prove strong relationship between slip parameters and physical quantities. Research concludes that thermal efficiency of TNF improves by rising velocity slip, magnetic force, curvature factor, thermal radiation, and thermophoresis effects. Velocity slip and thermal slip improve concentration boundary layer. Gyrotactic microorganisms’ density improves for higher velocity slip, temperature slip while depreciates for larger values of nanoparticle concentration slip and motile organism density slip.
{"title":"A numerical approach to radiative ternary nanofluid flow on curved geometry with porous media and multiple slip constraints","authors":"Muhammad Mumtaz, Saeed Islam, Hakeem Ullah, Abdullah Dawar, Zahir Shah","doi":"10.1002/zamm.202300914","DOIUrl":"https://doi.org/10.1002/zamm.202300914","url":null,"abstract":"Energy scarcity is among the biggest global challenges which is aggravating with each passing day due to ever increasing energy demands of contemporary livings as well as industrial requirements verses finite and rapidly depleting fossil reserves of our planet. Improving energy efficiency is one of the effective ways to cope with this challenge. Ternary nanofluids (TNF) are a dynamic novel class of fluids possessing unique thermophysical and other functional characteristics making them the most efficient heat transporting fluids of 21st century. These fluids have promising applications in major manufacturing and processing industries, emerging nanotechnologies and bio‐medical domains. The novel theme of this pragmatic study is analysis of bio‐convective TNF flow by stretchable porous curved surface considering effects of thermal radiation, chemical reaction, magnetic field, and various slip constraints. The modeled partial differential equations (PDEs) governing fluid flow under presumptions are converted to ordinary differential equations (ODEs) by suitable transformation relations. Numerical solutions are presented in graphical sketches and tabular forms using MATLAB bvp4c package for physical interpretations of sundry controlling variables impacts. To gauge veracity of computed results, comparisons with already published results have been presented. Moreover, the statistical concept of Pearson correlation coefficient has been employed to prove strong relationship between slip parameters and physical quantities. Research concludes that thermal efficiency of TNF improves by rising velocity slip, magnetic force, curvature factor, thermal radiation, and thermophoresis effects. Velocity slip and thermal slip improve concentration boundary layer. Gyrotactic microorganisms’ density improves for higher velocity slip, temperature slip while depreciates for larger values of nanoparticle concentration slip and motile organism density slip.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937927","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 present analysis deals with a steady mixed convective flow of hybrid nanofluid (HNF) near the stagnation point of a heated or cooled stretching sheet with velocity slip and convective boundaries. The understanding of nanoparticle grouping kinematics is essential to figure out the thermal impact of HNF flow on the surface. This problem formulation consists of and Cu as nanoparticles with water as a base fluid. The ordinary differential equations are derived from partial differential equations using scaling variables. The governing system of equations has been solved numerically by using the shooting method with Runge–Kutta approach. Parameters such as stagnation, slip, radiation, obliqueness, convection, and the volume fraction of nanoparticles all are key factors influencing the overall velocity as well as the temperature profiles, Nusselt number and skin friction coefficient. The heat transfer rate rises with increasing the stagnation velocity of the free stream, Biot number, and radiation parameter. When the volume of nanoparticles increases from 2% to 5%, the heat transfer boosts up from 2.97% to 10.48%. Hence, the addition of copper nanoparticles has improved the heat transmission characteristics. Also, streamlined patterns for positive and negative obliqueness are in different orientations. The point of zero shear stress moves towards the right and left of the origin for heated and cooled sheet, respectively, depending on the obliqueness and stagnation velocity.
{"title":"Convective slip flow of a hybrid nanofluid near a non‐orthogonal stagnation point over a stretching surface","authors":"Tanvi Singla, Sapna Sharma, Bhuvaneshvar Kumar","doi":"10.1002/zamm.202300392","DOIUrl":"https://doi.org/10.1002/zamm.202300392","url":null,"abstract":"The present analysis deals with a steady mixed convective flow of hybrid nanofluid (HNF) near the stagnation point of a heated or cooled stretching sheet with velocity slip and convective boundaries. The understanding of nanoparticle grouping kinematics is essential to figure out the thermal impact of HNF flow on the surface. This problem formulation consists of and Cu as nanoparticles with water as a base fluid. The ordinary differential equations are derived from partial differential equations using scaling variables. The governing system of equations has been solved numerically by using the shooting method with Runge–Kutta approach. Parameters such as stagnation, slip, radiation, obliqueness, convection, and the volume fraction of nanoparticles all are key factors influencing the overall velocity as well as the temperature profiles, Nusselt number and skin friction coefficient. The heat transfer rate rises with increasing the stagnation velocity of the free stream, Biot number, and radiation parameter. When the volume of nanoparticles increases from 2% to 5%, the heat transfer boosts up from 2.97% to 10.48%. Hence, the addition of copper nanoparticles has improved the heat transmission characteristics. Also, streamlined patterns for positive and negative obliqueness are in different orientations. The point of zero shear stress moves towards the right and left of the origin for heated and cooled sheet, respectively, depending on the obliqueness and stagnation velocity.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"371 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937928","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}
This study delves into the intricate interplay of magnetic and electric fields (EMHD) on the flow characteristics of a non‐Newtonian bio‐hybrid nanofluid, consisting of Ag+Graphene/blood, within converging and diverging geometries. The investigation takes into account the effects of velocity slip at the walls, offering a comprehensive examination of this complex fluid system. A novel bio‐hybrid nanofluid model was introduced, featuring a unique combination of Ag+Graphene/blood nanoparticles. To address this multifaceted problem, the research employed mathematical modeling based on nonlinear partial differential equations (PDEs), encompassing continuity and momentum equations. These PDEs were then transformed into a system of nonlinear ordinary differential equations (ODEs) through similarity transformations. The study explored both numerical and analytical solutions, with a particular focus on the application of the Adomian decomposition method (ADM). To validate the findings, the study compared the analytical results with those obtained using the HAM‐based Mathematica package and the Runge–Kutta Fehlberg 4th–5th order (RKF‐45) method in specific scenarios. Active parameters, including nanofluid volume fraction, slip factors, and the influence of magnetic and electric fields, were systematically examined to unveil their impacts on velocity and skin friction within this multifaceted nanofluid system. It is found that the skin friction coefficient decreases with the Increasing both the nanoparticle volume fraction, Hartmann number and the angle in both channels. Results obtained also reveal an in the converging section, higher Casson parameters lead to increased yield stress but are offset by the higher shear rates, resulting in a higher velocity profile. In the diverging section, the fluid resists flow due to the reduced shear stress, leading to a decreased velocity profile.
{"title":"Implication of electromagnetohydrodynamic flow of a non‐Newtonian hybrid nanofluid in a converging and diverging channel with velocity slip effects: A comparative investigation using numerical and ADM approaches","authors":"Mohamed Kezzar, Abdelaziz Nehal, Pachiyappan Ragupathi, Shekar Saranya, Umair Khan, Mohamed Rafik Sari, Tabet Ismail, Md Irfanul Haque Siddiqui","doi":"10.1002/zamm.202300872","DOIUrl":"https://doi.org/10.1002/zamm.202300872","url":null,"abstract":"This study delves into the intricate interplay of magnetic and electric fields (EMHD) on the flow characteristics of a non‐Newtonian bio‐hybrid nanofluid, consisting of Ag+Graphene/blood, within converging and diverging geometries. The investigation takes into account the effects of velocity slip at the walls, offering a comprehensive examination of this complex fluid system. A novel bio‐hybrid nanofluid model was introduced, featuring a unique combination of Ag+Graphene/blood nanoparticles. To address this multifaceted problem, the research employed mathematical modeling based on nonlinear partial differential equations (PDEs), encompassing continuity and momentum equations. These PDEs were then transformed into a system of nonlinear ordinary differential equations (ODEs) through similarity transformations. The study explored both numerical and analytical solutions, with a particular focus on the application of the Adomian decomposition method (ADM). To validate the findings, the study compared the analytical results with those obtained using the HAM‐based Mathematica package and the Runge–Kutta Fehlberg 4th–5th order (RKF‐45) method in specific scenarios. Active parameters, including nanofluid volume fraction, slip factors, and the influence of magnetic and electric fields, were systematically examined to unveil their impacts on velocity and skin friction within this multifaceted nanofluid system. It is found that the skin friction coefficient decreases with the Increasing both the nanoparticle volume fraction, Hartmann number and the angle in both channels. Results obtained also reveal an in the converging section, higher Casson parameters lead to increased yield stress but are offset by the higher shear rates, resulting in a higher velocity profile. In the diverging section, the fluid resists flow due to the reduced shear stress, leading to a decreased velocity profile.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"307 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937875","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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