Abstract We investigate the convergence of solutions of a recently proposed diffuse interface/phase field model for cell blebbing by means of matched asymptotic expansions. It is a biological phenomenon that increasingly attracts attention by both experimental and theoretical communities. Key to understanding the process of cell blebbing mechanically are proteins that link the cell cortex and the cell membrane. Another important model component is the bending energy of the cell membrane and cell cortex which accounts for differential equations up to sixth order. Both aspects pose interesting mathematical challenges that will be addressed in this work like showing non‐singularity formation for the pressure at boundary layers, deriving equations for asymptotic series coefficients of uncommonly high order, and dealing with a highly coupled system of equations.
{"title":"Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics","authors":"Philipp Nöldner, Martin Burger, Harald Garcke","doi":"10.1002/zamm.202300101","DOIUrl":"https://doi.org/10.1002/zamm.202300101","url":null,"abstract":"Abstract We investigate the convergence of solutions of a recently proposed diffuse interface/phase field model for cell blebbing by means of matched asymptotic expansions. It is a biological phenomenon that increasingly attracts attention by both experimental and theoretical communities. Key to understanding the process of cell blebbing mechanically are proteins that link the cell cortex and the cell membrane. Another important model component is the bending energy of the cell membrane and cell cortex which accounts for differential equations up to sixth order. Both aspects pose interesting mathematical challenges that will be addressed in this work like showing non‐singularity formation for the pressure at boundary layers, deriving equations for asymptotic series coefficients of uncommonly high order, and dealing with a highly coupled system of equations.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135885312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract Hybrid nanofluids, which are used in nanotechnology, are advanced fluid classes with enriched thermal properties that produce superior outcomes than nanofluids. There are too many applications of hybrid nanofluids in engineering cosmetics, the automotive industry, the home industry, cancer treatment, textiles, paper plastics, paints, and soaps. The purpose of this study is to investigate the heat transfer rate of magnetohydrodynamic flow of Casson hybrid non‐Newtonian nanofluid across an enlarging surface. The current work focuses on magnetohydrodynamic hybrid nanoliquid flow across an extending 3‐D sheet. Additionally, zero mass flux and an adequate convective heating procedure are used as boundary conditions in this investigation. Blood serves as the base fluid, into which copper and alumina nanoparticles are dissolved to form a hybrid nanofluid. Adjusting the applicable similarity transformation, the present modeled equations are converted into dimensionless form. The Homotopy analysis approach (HAM) computes the resulting systems and illustrates them graphically to explain the flow behavior at the extending electrically conducting surface. Additionally, for changes in the non‐dimensional physical constraint values, the variations in physical quantities such as the skin friction, temperature, Nusselt number and velocity profiles are explained. The results of the current investigation demonstrated that a magnetic field and a non‐Newtonian parameter reduce the hybrid nanoliquid's velocity. The temperature profile goes up with thermophoresis and Brownian motion. The component of velocity is found to fall as the stretching ratio parameter rises, while the component of velocity in the direction experiences the opposite impact. When the parameters of a chemical reaction are adjusted upwards, the concentration profile deteriorates. It is originated that the rate at which heat is transferred by hybrid nanofluids is significantly more progressive than that of nanofluids.
{"title":"A passive control of magnetohydrodynamic flow of a blood‐based Casson hybrid nanofluid over a convectively heated bi‐directional stretching surface","authors":"Syed Arshad Abas, Hakeem Ullah, Saeed Islam, Mehreen Fiza","doi":"10.1002/zamm.202200576","DOIUrl":"https://doi.org/10.1002/zamm.202200576","url":null,"abstract":"Abstract Hybrid nanofluids, which are used in nanotechnology, are advanced fluid classes with enriched thermal properties that produce superior outcomes than nanofluids. There are too many applications of hybrid nanofluids in engineering cosmetics, the automotive industry, the home industry, cancer treatment, textiles, paper plastics, paints, and soaps. The purpose of this study is to investigate the heat transfer rate of magnetohydrodynamic flow of Casson hybrid non‐Newtonian nanofluid across an enlarging surface. The current work focuses on magnetohydrodynamic hybrid nanoliquid flow across an extending 3‐D sheet. Additionally, zero mass flux and an adequate convective heating procedure are used as boundary conditions in this investigation. Blood serves as the base fluid, into which copper and alumina nanoparticles are dissolved to form a hybrid nanofluid. Adjusting the applicable similarity transformation, the present modeled equations are converted into dimensionless form. The Homotopy analysis approach (HAM) computes the resulting systems and illustrates them graphically to explain the flow behavior at the extending electrically conducting surface. Additionally, for changes in the non‐dimensional physical constraint values, the variations in physical quantities such as the skin friction, temperature, Nusselt number and velocity profiles are explained. The results of the current investigation demonstrated that a magnetic field and a non‐Newtonian parameter reduce the hybrid nanoliquid's velocity. The temperature profile goes up with thermophoresis and Brownian motion. The component of velocity is found to fall as the stretching ratio parameter rises, while the component of velocity in the direction experiences the opposite impact. When the parameters of a chemical reaction are adjusted upwards, the concentration profile deteriorates. It is originated that the rate at which heat is transferred by hybrid nanofluids is significantly more progressive than that of nanofluids.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136024477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract The current study considered electromagnetohydrodynamic (EMHD) flow properties on viscid liquid over wavy walls. Initially, performed the scientific evidence and then explanation of velocity attained by applying the perturbation approach. Through mathematical calculations, we evaluated the corrugation impact on EMHD velocity flow. The impacts of evolving constraints from attained solutions are studied by intriguing the diagrams. The significant hypothesis is that decrease the imperceptible wave consequence on the velocity for the minor value of amplitude proportion parameter. For the small value of amplitude, the curvy phenomenon becomes understandable. In graphical results trapped bolus appears for out phase corrugations. From this study, we have come up with the result that the velocity achieves the extreme value in the mid of the channel. The velocity profile declines for the Reynolds number. The reason is that for the greater amount of the Reynolds number, the velocity fluctuates quickly by lesser amplitudes. The velocity profile decay with the growing value of the curving parameter in [−1,0] and grow in [0,1]. The stress components decline and the stress components rise for the curving parameter. The present analysis has practical applications in biomedical propulsion of targeted drug delivery, manufacturing of peristaltic pumps, transportation of diverse fluids.
{"title":"Mathematical modeling and analysis for electromagnetohydrodynamic viscous fluid flow with corrugated walls inside a curved channel","authors":"Waleed Zakri, Sohail Nadeem, Madhia Rashid, Jehad Alzabut, Hassan Ali Ghazwani","doi":"10.1002/zamm.202300172","DOIUrl":"https://doi.org/10.1002/zamm.202300172","url":null,"abstract":"Abstract The current study considered electromagnetohydrodynamic (EMHD) flow properties on viscid liquid over wavy walls. Initially, performed the scientific evidence and then explanation of velocity attained by applying the perturbation approach. Through mathematical calculations, we evaluated the corrugation impact on EMHD velocity flow. The impacts of evolving constraints from attained solutions are studied by intriguing the diagrams. The significant hypothesis is that decrease the imperceptible wave consequence on the velocity for the minor value of amplitude proportion parameter. For the small value of amplitude, the curvy phenomenon becomes understandable. In graphical results trapped bolus appears for out phase corrugations. From this study, we have come up with the result that the velocity achieves the extreme value in the mid of the channel. The velocity profile declines for the Reynolds number. The reason is that for the greater amount of the Reynolds number, the velocity fluctuates quickly by lesser amplitudes. The velocity profile decay with the growing value of the curving parameter in [−1,0] and grow in [0,1]. The stress components decline and the stress components rise for the curving parameter. The present analysis has practical applications in biomedical propulsion of targeted drug delivery, manufacturing of peristaltic pumps, transportation of diverse fluids.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136024476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract Bifurcations of streamlines in peristaltic flow through a channel are investigated without lubrication approximation, that is, when the inertial and streamline curvature effects are present. The stream function for the considered flow is first established and then utilized to locate the stagnation/ equilibrium points. The classification of equilibrium points is made by employing the theory of dynamical systems. It is observed that the inertial effects modify the location and number of equilibrium points and hence give rise to additional bifurcations. This research focuses on the alterations in the topology of flow within a pump when there is partial occlusion. The insights gained from this research could be beneficial in guaranteeing the smooth flow of fluids through the pump with no risk of entrapment from entry to exit. Moreover, if trapping does occur, this information can be helpful in identifying the exact region within the pump where the fluid is being trapped.
{"title":"Bifurcations of streamlines in peristaltic flow without lubrication approximation: A case study","authors":"Husnain Rasool, Nasir Ali, Kaleem Ullah","doi":"10.1002/zamm.202200345","DOIUrl":"https://doi.org/10.1002/zamm.202200345","url":null,"abstract":"Abstract Bifurcations of streamlines in peristaltic flow through a channel are investigated without lubrication approximation, that is, when the inertial and streamline curvature effects are present. The stream function for the considered flow is first established and then utilized to locate the stagnation/ equilibrium points. The classification of equilibrium points is made by employing the theory of dynamical systems. It is observed that the inertial effects modify the location and number of equilibrium points and hence give rise to additional bifurcations. This research focuses on the alterations in the topology of flow within a pump when there is partial occlusion. The insights gained from this research could be beneficial in guaranteeing the smooth flow of fluids through the pump with no risk of entrapment from entry to exit. Moreover, if trapping does occur, this information can be helpful in identifying the exact region within the pump where the fluid is being trapped.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136024013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shuguang Li, C. Rajashekhar, K. S. Nisar, Fateh Mebarek‐Oudina, H. Vaidya, M. Ijaz Khan, K. V. Prasad, H. Balachandra, G. Manjunatha
Abstract The peristaltic mechanism of a non‐Newtonian Ree‐Eyring liquid in the presence of variable liquid properties and heat transfer is an integral component of technology and healthcare systems. This study aims to investigate and analyze this mechanism, taking into account the influence of wall properties and variable liquid properties. The long wavelength and Low Reynolds approximations are used in the model designed for this purpose. A regular perturbation technique solves the resulting nonlinear partial differential equations with the proper non‐dimensional parameters. The magnetic field's influence is crucial in determining the fluid flow behavior, whereas the variable liquid properties significantly affect the temperature profiles. This research contributes to an improved understanding of peristalsis in the context of Ree‐Eyring liquids and has potential implications for several technical and medical applications.
{"title":"Peristaltic transport of a Ree‐Eyring fluid with non‐uniform complaint channel: An analysis through varying conditions","authors":"Shuguang Li, C. Rajashekhar, K. S. Nisar, Fateh Mebarek‐Oudina, H. Vaidya, M. Ijaz Khan, K. V. Prasad, H. Balachandra, G. Manjunatha","doi":"10.1002/zamm.202300073","DOIUrl":"https://doi.org/10.1002/zamm.202300073","url":null,"abstract":"Abstract The peristaltic mechanism of a non‐Newtonian Ree‐Eyring liquid in the presence of variable liquid properties and heat transfer is an integral component of technology and healthcare systems. This study aims to investigate and analyze this mechanism, taking into account the influence of wall properties and variable liquid properties. The long wavelength and Low Reynolds approximations are used in the model designed for this purpose. A regular perturbation technique solves the resulting nonlinear partial differential equations with the proper non‐dimensional parameters. The magnetic field's influence is crucial in determining the fluid flow behavior, whereas the variable liquid properties significantly affect the temperature profiles. This research contributes to an improved understanding of peristalsis in the context of Ree‐Eyring liquids and has potential implications for several technical and medical applications.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136072054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Arooj Tanveer, Muhammad Bilal Ashraf, None Zaib‐Un‐Nisa
Abstract The investigation of entropy generation in peristaltic flow in an asymmetric channel under mixed convective conditions is a contribution to the body of literature. The used transport model includes appropriate boundary conditions along with continuity, momentum, energy, and concentration equations. Under the presumptions of a long wavelength and a low Reynolds number, the analysis is carried out. The analysis takes into account important elements including Joule heating, magnetohydrodynamics (MHD), and heat and mass transmission. An approach using BVP4C is used to analyze the governing system. The research adds to the body of knowledge in the subject by revealing important details about the complex interactions between these variables and how they affect peristaltic flow's creation of entropy. The originality of this work resides in its thorough examination of numerous crucial elements, including MHD, Joule heating, and mass and heat transport. The originality of this research is further enhanced by the analysis of the impacts of various parameters on velocity, temperature, concentration, pressure gradient, and streamlines. This study provides a novel viewpoint and a deeper knowledge of the entropy generation phenomenon in peristaltic flow, opening the door for potential applications in numerous disciplines including fluid dynamics, biomedical engineering, and transport processes.
{"title":"Analysis of entropy generation and Joule heating effects for MHD peristaltic flow over an asymmetric channel with mixed convective conditions","authors":"Arooj Tanveer, Muhammad Bilal Ashraf, None Zaib‐Un‐Nisa","doi":"10.1002/zamm.202300089","DOIUrl":"https://doi.org/10.1002/zamm.202300089","url":null,"abstract":"Abstract The investigation of entropy generation in peristaltic flow in an asymmetric channel under mixed convective conditions is a contribution to the body of literature. The used transport model includes appropriate boundary conditions along with continuity, momentum, energy, and concentration equations. Under the presumptions of a long wavelength and a low Reynolds number, the analysis is carried out. The analysis takes into account important elements including Joule heating, magnetohydrodynamics (MHD), and heat and mass transmission. An approach using BVP4C is used to analyze the governing system. The research adds to the body of knowledge in the subject by revealing important details about the complex interactions between these variables and how they affect peristaltic flow's creation of entropy. The originality of this work resides in its thorough examination of numerous crucial elements, including MHD, Joule heating, and mass and heat transport. The originality of this research is further enhanced by the analysis of the impacts of various parameters on velocity, temperature, concentration, pressure gradient, and streamlines. This study provides a novel viewpoint and a deeper knowledge of the entropy generation phenomenon in peristaltic flow, opening the door for potential applications in numerous disciplines including fluid dynamics, biomedical engineering, and transport processes.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136191971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Umer Farooq, Amina Jadoon, Muzamil Hussain, M. Sheremet
This study aims to examine the magnetized flow of Ag–MgO/water hybrid nanofluid over an extending sheet implanted in Darcy porous medium. Thermal radiations, Joule and viscous dissipations are incorporated into energy equation to account for heat transfer. The convective heat flux boundary condition is imposed at sheet surface. Using non‐similar conversions, governing equations are converted to a system of dimensionless partial differential equations (PDEs). These equations are transformed into ordinary ones by using local non‐similar method. MATLAB's bvp4c function is used to numerically simulate the ordinary differential equations (ODEs). The velocity and thermal profiles for positive variation of essential parameters are illustrated graphically. It was concluded that the velocity profile increases for the rising Darcy number. On the other hand, the temperature profile increased for the positive variation of magnetic number, volume fraction, radiation parameter, Eckert number and Biot number while decreasing for all other parameters. The skin friction coefficient and heat transfer rates are thoroughly investigated and findings are reported through tables. It was found that the magnitude of skin friction coefficient rises with an increase in volume fraction, suction and magnetic parameters while the heat transfer is enhanced by increases in Darcy number, suction parameter, radiation parameter, and Biot number. As per the author's knowledge, no work has previously been published on the current model using the local non‐similarity method. This work may provide insight to researchers interested in thermal systems and solar energy harvesting.
{"title":"Non‐similar heat transfer analysis of magnetized flow of Ag‐Mgo/water hybrid nanofluid flow through darcy porous medium","authors":"Umer Farooq, Amina Jadoon, Muzamil Hussain, M. Sheremet","doi":"10.1002/zamm.202200628","DOIUrl":"https://doi.org/10.1002/zamm.202200628","url":null,"abstract":"This study aims to examine the magnetized flow of Ag–MgO/water hybrid nanofluid over an extending sheet implanted in Darcy porous medium. Thermal radiations, Joule and viscous dissipations are incorporated into energy equation to account for heat transfer. The convective heat flux boundary condition is imposed at sheet surface. Using non‐similar conversions, governing equations are converted to a system of dimensionless partial differential equations (PDEs). These equations are transformed into ordinary ones by using local non‐similar method. MATLAB's bvp4c function is used to numerically simulate the ordinary differential equations (ODEs). The velocity and thermal profiles for positive variation of essential parameters are illustrated graphically. It was concluded that the velocity profile increases for the rising Darcy number. On the other hand, the temperature profile increased for the positive variation of magnetic number, volume fraction, radiation parameter, Eckert number and Biot number while decreasing for all other parameters. The skin friction coefficient and heat transfer rates are thoroughly investigated and findings are reported through tables. It was found that the magnitude of skin friction coefficient rises with an increase in volume fraction, suction and magnetic parameters while the heat transfer is enhanced by increases in Darcy number, suction parameter, radiation parameter, and Biot number. As per the author's knowledge, no work has previously been published on the current model using the local non‐similarity method. This work may provide insight to researchers interested in thermal systems and solar energy harvesting.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83542236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Heat transfer rate is numerically analyzed in convective flow of Al2O3‐Ag/ H2O hybrid nanoliquid through a stretching sheet by incorporating induced magnetic field. Results of entropy generation in system are evaluated as well. Considered physical factors associated with heat transfer are heat generation parameter and viscous dissipation. The system of nonlinear partial differential equations is modeled and dimensionally simplified by implementing boundary layer approximation assumption and proper similarity transformations. Adam's Bashforth method is applied to get highly accurate and stable numerical solutions. Numerical results of flow variables, entropy generation number and physical quantities are interpreted by way of graphs and bar charts to perceive the extensive significance of the problem. It is visualized that rise in numeric values of mixed convection parameter λ1 leads to enhance velocity; entropy generation number and Nusselt number while suppress temperature. High magnitude of heat generation parameter δ augments velocity and temperature but reverse behavior is observed for Nusselt number and entropy generation number. Moreover, the factor of viscous dissipation significantly modifies rate of flow and heat transfer under the effect of no‐slip condition on sheet. The present study is useful in different fields of industries, technological processes, mechanical processes, and electrical processes due to the applications of magnetic hybrid nanofluid with improved heat and mass transfer.
{"title":"Generalized thermal properties of hybrid NANOLIQUID composed of aluminum oxide (Al2O3) and silver (Ag) nanoparticles with water (H2O) as base liquid","authors":"N. Parveen, M. Awais, S. Awan","doi":"10.1002/zamm.202300194","DOIUrl":"https://doi.org/10.1002/zamm.202300194","url":null,"abstract":"Heat transfer rate is numerically analyzed in convective flow of Al2O3‐Ag/ H2O hybrid nanoliquid through a stretching sheet by incorporating induced magnetic field. Results of entropy generation in system are evaluated as well. Considered physical factors associated with heat transfer are heat generation parameter and viscous dissipation. The system of nonlinear partial differential equations is modeled and dimensionally simplified by implementing boundary layer approximation assumption and proper similarity transformations. Adam's Bashforth method is applied to get highly accurate and stable numerical solutions. Numerical results of flow variables, entropy generation number and physical quantities are interpreted by way of graphs and bar charts to perceive the extensive significance of the problem. It is visualized that rise in numeric values of mixed convection parameter λ1 leads to enhance velocity; entropy generation number and Nusselt number while suppress temperature. High magnitude of heat generation parameter δ augments velocity and temperature but reverse behavior is observed for Nusselt number and entropy generation number. Moreover, the factor of viscous dissipation significantly modifies rate of flow and heat transfer under the effect of no‐slip condition on sheet. The present study is useful in different fields of industries, technological processes, mechanical processes, and electrical processes due to the applications of magnetic hybrid nanofluid with improved heat and mass transfer.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73897848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
P. Rana, Pramod Kumar Sharma, Sanjay Kumar, Vinit Makkar, B. Mahanthesh
This study explores the effect of Williamson nanofluid in the presence of radiation and chemical reaction caused by stretching or shrinking a surface with convective boundary conditions. After implementing two‐component model and Lie group theory, the transformed ODEs are solved using the Runge–Kutta Dormand–Prince (RKDP) shooting approach technique. The dual solutions are predicted for certain range of physical nanofluid parameters, such as Williamson parameter (), stretching/shrinking parameter (), and suction parameter () with different slip and magnetic M parameters. Contour plots are generated for the stable branch of the Nusselt number () for different combinations, providing insights into the heat transfer characteristics. The eigenvalue problem is solved in order to predict flow stability. The optimization of heat transfer in nanoliquid is conducted by RSM‐CCD. The resulting quadratic correlation enables the prediction of the optimal Nusselt number for , , and . This investigation is motivated by various applications including manufacturing processes, thermal management systems, energy conversion devices, and other engineering systems where efficient heat transfer is crucial.
{"title":"Multiple solutions and stability analysis in MHD non‐Newtonian nanofluid slip flow with convective and passive boundary condition: Heat transfer optimization using RSM‐CCD","authors":"P. Rana, Pramod Kumar Sharma, Sanjay Kumar, Vinit Makkar, B. Mahanthesh","doi":"10.1002/zamm.202200145","DOIUrl":"https://doi.org/10.1002/zamm.202200145","url":null,"abstract":"This study explores the effect of Williamson nanofluid in the presence of radiation and chemical reaction caused by stretching or shrinking a surface with convective boundary conditions. After implementing two‐component model and Lie group theory, the transformed ODEs are solved using the Runge–Kutta Dormand–Prince (RKDP) shooting approach technique. The dual solutions are predicted for certain range of physical nanofluid parameters, such as Williamson parameter (), stretching/shrinking parameter (), and suction parameter () with different slip and magnetic M parameters. Contour plots are generated for the stable branch of the Nusselt number () for different combinations, providing insights into the heat transfer characteristics. The eigenvalue problem is solved in order to predict flow stability. The optimization of heat transfer in nanoliquid is conducted by RSM‐CCD. The resulting quadratic correlation enables the prediction of the optimal Nusselt number for , , and . This investigation is motivated by various applications including manufacturing processes, thermal management systems, energy conversion devices, and other engineering systems where efficient heat transfer is crucial.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84873776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The study of the boundary layer is considered one of the most important theories in the field of heat and mass transfer because of its important explanation that shows us the behavior of different surfaces while they are under the influence of the flow accompanied by different thermal forces. The study of corrugated surfaces is one of the engineering applications, such as flow in heat exchangers or solar cells or cooling processes during surface heat treatments. This model is also used in medical applications such as flow in arteries or movement in the intestines. So, the work deals with investigating the boundary layer surrounding a three‐dimensional sinusoidal pipe; the boundary layer was assumed to be filled with a hybrid nanofluid consisting of water +Cu nanoparticles as the main fluid, supported by a small concentration of Al2O3 or Ag nanoparticles. The boundary layer is described by a set of nonlinear partial differential equations due to the continuity, momentum, and energy equations, which are transformed into a set of dependently coupled nonlinear ordinary differential equations. The obtained system of equations was solved using numerical techniques. The behavior of the boundary layer under the varying types and concentrations of nanoparticles and the influence of the magnetic field has been depicted by a set of graphs and tables. With reference to some results, it is found that using 5% of nanoparticles of aluminum oxide raises the rate of cooling by 8% and using 5% of silver nanoparticles increases it by 5%.
{"title":"Thermal evaluation of MHD boundary‐layer flow of hybridity nanofluid via a 3D sinusoidal cylinder","authors":"E. Elsaid, M. Abdel-wahed","doi":"10.1002/zamm.202300186","DOIUrl":"https://doi.org/10.1002/zamm.202300186","url":null,"abstract":"The study of the boundary layer is considered one of the most important theories in the field of heat and mass transfer because of its important explanation that shows us the behavior of different surfaces while they are under the influence of the flow accompanied by different thermal forces. The study of corrugated surfaces is one of the engineering applications, such as flow in heat exchangers or solar cells or cooling processes during surface heat treatments. This model is also used in medical applications such as flow in arteries or movement in the intestines. So, the work deals with investigating the boundary layer surrounding a three‐dimensional sinusoidal pipe; the boundary layer was assumed to be filled with a hybrid nanofluid consisting of water +Cu nanoparticles as the main fluid, supported by a small concentration of Al2O3 or Ag nanoparticles. The boundary layer is described by a set of nonlinear partial differential equations due to the continuity, momentum, and energy equations, which are transformed into a set of dependently coupled nonlinear ordinary differential equations. The obtained system of equations was solved using numerical techniques. The behavior of the boundary layer under the varying types and concentrations of nanoparticles and the influence of the magnetic field has been depicted by a set of graphs and tables. With reference to some results, it is found that using 5% of nanoparticles of aluminum oxide raises the rate of cooling by 8% and using 5% of silver nanoparticles increases it by 5%.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88070835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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