Numerical Analysis of Unsteady Magneto-Biphase Williamson Fluid Flow with Time Dependent Magnetic Field

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英文篇名：Numerical Analysis of Unsteady Magneto-Biphase Williamson Fluid Flow with Time Dependent Magnetic Field 作者：Madiha ; Bibi ; M.Y.Malik ; A.Zeeshan 英文作者：Madiha Bibi;M.Y.Malik;A.Zeeshan;Department of Mathematics, College of Sciences, P.O.Box 9004, King Khalid University;Department of Mathematics, Quaid-I-Azam University;Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, International Islamic University; 英文关键词：unsteady flow;;multiphase Williamson fluid;;variable magnetic field;;permeable wall;;heat source/sink 中文刊名：CITP 英文刊名：理论物理(英文版) 机构：Department of Mathematics, College of Sciences, P.O.Box 9004, King Khalid University;Department of Mathematics, Quaid-I-Azam University;Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, International Islamic University; 出版日期：2019-02-01 出版单位：Communications in Theoretical Physics 年：2019 期：v.71 语种：英文; 页：CITP201902001 页数：9 CN：02 ISSN：11-2592/O3 分类号：5-13

摘要

Numerical investigation of the dusty Williamson fluid with the dependency of time has been done in current disquisition. The flow of multiphase liquid/particle suspension saturating the medium is caused by stretching of porous surface. The influence of magnetic field and heat generation/absorption is observed. It is assumed that particle has a spherical shape and distributed uniformly in fluid matrix. The unsteady two-dimensional problems are modeled for both fluid and particle phase using conservation of mass, momentum and heat transfer. The finalized model generates the non-dimensioned parameters, namely Weissenberg number, unsteadiness parameter, magnetic parameter,heat generation/absorption parameter, Prandtl number, fluid particle interaction parameter, and mass concentration parameters. The numerical solution is obtained. Locality of skin friction and Nusselt number is deliberately focused to help of tables and graphs. While inferencing the current article it is clearly observed that increment of Williamson parameter, unsteadiness parameter, magnetic parameter, volume fraction parameter, and mass concentration parameter reduces the velocity profile of fluid and solid particles as well. And increment of Prandtl number, unsteadiness parameter,volume fraction parameter, and mass concentration parameter reduces the temperature profile of fluid and solid particles as well.
        Numerical investigation of the dusty Williamson fluid with the dependency of time has been done in current disquisition. The flow of multiphase liquid/particle suspension saturating the medium is caused by stretching of porous surface. The influence of magnetic field and heat generation/absorption is observed. It is assumed that particle has a spherical shape and distributed uniformly in fluid matrix. The unsteady two-dimensional problems are modeled for both fluid and particle phase using conservation of mass, momentum and heat transfer. The finalized model generates the non-dimensioned parameters, namely Weissenberg number, unsteadiness parameter, magnetic parameter,heat generation/absorption parameter, Prandtl number, fluid particle interaction parameter, and mass concentration parameters. The numerical solution is obtained. Locality of skin friction and Nusselt number is deliberately focused to help of tables and graphs. While inferencing the current article it is clearly observed that increment of Williamson parameter, unsteadiness parameter, magnetic parameter, volume fraction parameter, and mass concentration parameter reduces the velocity profile of fluid and solid particles as well. And increment of Prandtl number, unsteadiness parameter,volume fraction parameter, and mass concentration parameter reduces the temperature profile of fluid and solid particles as well.

引文

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