{"title":"倾斜拉伸表面上化学反应性生物对流卡森纳米流体流动的非相似分析","authors":"Umar Farooq, Muzamil Hussain, Umer Farooq","doi":"10.1002/zamm.202300128","DOIUrl":null,"url":null,"abstract":"Abstract Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc. Considering the Casson fluid model and inclined stretching geometry a mathematical model is developed to investigate the influence of chemical reactions on bioconvection characteristics of self‐propelled microbes in a non‐Newtonian nanofluid. Nanoparticles that can be dissolved in the blood (base fluid) include titanium oxide () and aluminium oxide (). The impacts of heat generation, magnetic field, and dissipation of viscosity are also included. To simplify the governing system of partial differential equations (PDEs), boundary layer assumptions are used. By using the proper transformations, the governing PDEs and the boundary conditions that correspond with them are further changed to a dimensionless form. Utilizing a local non‐similarity technique up to the second degree of truncation in conjunction with MATLAB's (bvp4c) built‐in finite difference code, the results of the altered model are gathered. Additionally, after achieving good alignment between calculated findings and published results, the influence of changing factors on the flow of fluids and heat transfer features of the envisioned flow problems is shown and examined in graphical configuration. Tables are designed to establish numerical variants of the drag coefficient and Nusselt number. The Outcome of this study is to highlight the important role that chemical reactions play in the bioconvection of Casson nanofluids, and how manipulating the chemical reaction parameter can impact the transport and heat/mass transfer properties of the fluid. It is noted that increasing the chemical reaction parameter leads to a fall in the concentration profile of the bioconvection Casson nanofluid. Enhancing the Casson fluid parameter enhances the velocity and temperature profile. When the Peclet number is altered, the propagation of microorganisms is constrained. Moreover, it was observed that the density of motile microorganisms increased as the bioconvective Lewis numbers became higher. The coefficient of friction on the inclined stretched surface is increased significantly by the porosity parameter and Lorentz forces, as they act as amplifiers.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface\",\"authors\":\"Umar Farooq, Muzamil Hussain, Umer Farooq\",\"doi\":\"10.1002/zamm.202300128\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc. Considering the Casson fluid model and inclined stretching geometry a mathematical model is developed to investigate the influence of chemical reactions on bioconvection characteristics of self‐propelled microbes in a non‐Newtonian nanofluid. Nanoparticles that can be dissolved in the blood (base fluid) include titanium oxide () and aluminium oxide (). The impacts of heat generation, magnetic field, and dissipation of viscosity are also included. To simplify the governing system of partial differential equations (PDEs), boundary layer assumptions are used. By using the proper transformations, the governing PDEs and the boundary conditions that correspond with them are further changed to a dimensionless form. Utilizing a local non‐similarity technique up to the second degree of truncation in conjunction with MATLAB's (bvp4c) built‐in finite difference code, the results of the altered model are gathered. Additionally, after achieving good alignment between calculated findings and published results, the influence of changing factors on the flow of fluids and heat transfer features of the envisioned flow problems is shown and examined in graphical configuration. Tables are designed to establish numerical variants of the drag coefficient and Nusselt number. The Outcome of this study is to highlight the important role that chemical reactions play in the bioconvection of Casson nanofluids, and how manipulating the chemical reaction parameter can impact the transport and heat/mass transfer properties of the fluid. It is noted that increasing the chemical reaction parameter leads to a fall in the concentration profile of the bioconvection Casson nanofluid. Enhancing the Casson fluid parameter enhances the velocity and temperature profile. When the Peclet number is altered, the propagation of microorganisms is constrained. Moreover, it was observed that the density of motile microorganisms increased as the bioconvective Lewis numbers became higher. The coefficient of friction on the inclined stretched surface is increased significantly by the porosity parameter and Lorentz forces, as they act as amplifiers.\",\"PeriodicalId\":23924,\"journal\":{\"name\":\"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2023-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/zamm.202300128\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/zamm.202300128","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface
Abstract Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc. Considering the Casson fluid model and inclined stretching geometry a mathematical model is developed to investigate the influence of chemical reactions on bioconvection characteristics of self‐propelled microbes in a non‐Newtonian nanofluid. Nanoparticles that can be dissolved in the blood (base fluid) include titanium oxide () and aluminium oxide (). The impacts of heat generation, magnetic field, and dissipation of viscosity are also included. To simplify the governing system of partial differential equations (PDEs), boundary layer assumptions are used. By using the proper transformations, the governing PDEs and the boundary conditions that correspond with them are further changed to a dimensionless form. Utilizing a local non‐similarity technique up to the second degree of truncation in conjunction with MATLAB's (bvp4c) built‐in finite difference code, the results of the altered model are gathered. Additionally, after achieving good alignment between calculated findings and published results, the influence of changing factors on the flow of fluids and heat transfer features of the envisioned flow problems is shown and examined in graphical configuration. Tables are designed to establish numerical variants of the drag coefficient and Nusselt number. The Outcome of this study is to highlight the important role that chemical reactions play in the bioconvection of Casson nanofluids, and how manipulating the chemical reaction parameter can impact the transport and heat/mass transfer properties of the fluid. It is noted that increasing the chemical reaction parameter leads to a fall in the concentration profile of the bioconvection Casson nanofluid. Enhancing the Casson fluid parameter enhances the velocity and temperature profile. When the Peclet number is altered, the propagation of microorganisms is constrained. Moreover, it was observed that the density of motile microorganisms increased as the bioconvective Lewis numbers became higher. The coefficient of friction on the inclined stretched surface is increased significantly by the porosity parameter and Lorentz forces, as they act as amplifiers.
期刊介绍:
ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.