Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik最新文献

{"title":"Bioconvection flow of Prandtl–Eyring nanofluid in the presence of gyrotactic microorganisms","authors":"Zakir Ullah, Gul Zaman, Ikram Ullah, Oluwole Daniel Makinde","doi":"10.1002/zamm.202300358","DOIUrl":"https://doi.org/10.1002/zamm.202300358","url":null,"abstract":"Abstract This work presents a theoretical numerical study of the bioconvection flow of Prandtl–Eyring nanofluid through a stretching cylinder with gyrotactic microorganisms. The mathematical model developed also incorporated the inclined magnetic field and heat generation effects. Further, stratification conditions are considered at the boundary of the stretched cylinder. The described flow problem conducting coupled high‐order partial differential equations (PDEs) is first reduced to the nonlinear system of ordinary differential equations (ODEs) by introducing suitable mathematical transformations. The resulting highly nonlinear flow equations are treated numerically by applying the shooting method. A comparison of the adapted method with previously reported data is also made to validate the presented results. The comparisons are in excellent agreement. The individual effect of controlling flow parameters/numbers on the flow profiles and physical quantities of engineering interest are represented graphically with physical descriptions. The significant results of the present analysis revealed that a rise in bioconvection Rayleigh number, thermal Grashof number, and angle of inclination boosts the velocity profile. The study shows that thermal stratification, mass stratification, and motile density stratification parameters diminish the temperature, concentration, and microorganism profiles, respectively. The nondimensional Sherwood number is decelerated significantly by thermophoresis and mass stratification parameters.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134969947","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}

{"title":"Dissipative Lorentz force influence on mass flow over a micro‐cantilever sensor sheet under magnetic Ohmic heating","authors":"Hussain Basha, Mahantesh M. Nandeppanavar, Gudala Janardhana Reddy","doi":"10.1002/zamm.202300055","DOIUrl":"https://doi.org/10.1002/zamm.202300055","url":null,"abstract":"Abstract The novelty and main aim of the present numerical analysis is to explore the magneto‐thermo‐fluid characteristic features of incompressible, time‐dependent electrically conducting second‐grade fluid flow about a micro‐cantilever sensor sheet suspended in a squeezed regime between two parallel plates under the influence of Lorentz force field and viscous dissipation effects. Pertaining to this physical situation, the primitive forms of produced coupled nonlinear partial differential equations are rendered to non‐dimensional ordinary differential equations through appropriate scaling transformations. The resultant coupled nonlinear boundary value physical problem is solved by deploying a robust BVP4C Matlab function. The key features of the emerged different fluid flow parameters are documented in terms of extensive graphical visualization and tabular discussion. The current numerical investigation showed that, the increasing second‐grade fluid parameter significantly decreases the flow field and enhances the thermal and mass diffusion fields. Magnifying permeable velocity number decreases the velocity and increases the heat and concentration transport process. The thermal distribution over a sensor region is boosted with increasing Eckert number through viscous dissipation and magnetic Ohmic heating. Further, the elevating squeezing number decreases the skin friction and enhancing second‐grade fluid number boosted the skin‐friction coefficient. In addition to this, the increasing Schmidt and squeezing parameters decreases the local Sherwood number. Finally, a reasonable agreement between the present numerical solutions with the former results is presented.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135879166","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}

{"title":"Was Stephen Timoshenko right about the Jewish scientists in Germany?","authors":"Isaac Elishakoff","doi":"10.1002/zamm.202300341","DOIUrl":"https://doi.org/10.1002/zamm.202300341","url":null,"abstract":"Abstract Stephen Timoshenko was the author of numerous textbooks on various aspects of applied mechanics, and through them contributed to its rapid development in the world. As always, the community is also interested in the personal side of the scientists. This paper is devoted to a single statement made by Stephen Timoshenko in his autobiographical book. Specifically, it concerns Timoshenko's at least partial “explanation” of the Holocaust that took place during WWII. Whereas Timoshenko's statement constituted, to the present writer, open antisemitism, it does not seem to disturb many researchers who continue to honor him in various ways. “Nonsense is nonsense, but the history of nonsense is scholarship,” according to Saul Lieberman. Hence the present article presents an investigation of Timoshenko's nonsensical and overly antisemitic statement. This author corresponded with a number of historians of science all repudiating Timoshenko's assertions. Most importantly, the correspondents shed additional vivid light on the Holocaust as experienced by Jewish scientists.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135885452","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}

{"title":"Critical analysis of generalized Newtonian fluid flow past a non‐linearly stretched curved surface: A numerical solution for Carreau model","authors":"Nasir Ali, Muhammad Waris Saeed Khan, Shahzad Saleem","doi":"10.1002/zamm.202300100","DOIUrl":"https://doi.org/10.1002/zamm.202300100","url":null,"abstract":"Abstract The underlying intention of the present work is to elaborate the boundary layer flow of Carreau fluid over a non‐linear stretching curved surface. Firstly, we derived the equation of motion for a two‐dimensional curved surface using the Carreau constitutive relation. Employing the well‐known approximations of the boundary layer theory (order of magnitude analysis), the terms of higher and next order have been neglected. We developed an appropriate similarity transformation that reduced the considered partial differential equation into an ordinary differential equation (self‐similar formulation). The MATLAB built‐in function usually known as bvp5c is utilized to get the numerical solution of the considered problem. The impact of the power‐law index ( n ), Weissenberg number and curvature parameter ( k ) on velocity profile and skin friction are analyzed through several graphs and tables. The obtained results are also verified by employing the shooting method through Maple software. The results reveal that both boundary layer thickness and velocity profile increase by enlarging the dimensionless curvature parameter of the curved surface.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135879185","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}

{"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":"137 1","pages":"0"},"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}

{"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":"12 1","pages":"0"},"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}

{"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":"34 1","pages":"0"},"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}

{"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":"13 1","pages":"0"},"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}

{"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":"47 1","pages":"0"},"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}

{"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":"63 1","pages":"0"},"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}