On Generalized Fourier's and Fick's Laws in Bio-Convection Flow of Magnetized Burgers' Nanofluid Utilizing Motile Microorganisms

被引:9
作者
Alshomrani, Ali Saleh [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Burgers' nanofluid; heat generation; absorption; bio-convection; Cattaneo-Christov relations; motile microorganisms; numerical solution; GYROTACTIC MICROORGANISMS; BIOCONVECTION; SLIP; NANOPARTICLES; TRANSPORT; SHEET; MODEL; HEAT;
D O I
10.3390/math8071186
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article describes the features of bio-convection and motile microorganisms in magnetized Burgers' nanoliquid flows by stretchable sheet. Theory of Cattaneo-Christov mass and heat diffusions is also discussed. The Buongiorno phenomenon for nanoliquid motion in a Burgers' fluid is employed in view of the Cattaneo-Christov relation. The control structure of governing partial differential equations (PDEs) is changed into appropriate ordinary differential equations (ODEs) by suitable transformations. To get numerical results of nonlinear systems, the bvp4c solver provided in the commercial software MATLAB is employed. Numerical and graphical data for velocity, temperature, nanoparticles concentration and microorganism profiles are obtained by considering various estimations of prominent physical parameters. Our computations depict that the temperature field has direct relation with the thermal Biot number and Burgers' fluid parameter. Here, temperature field is enhanced for growing estimations of thermal Biot number and Burgers' fluid parameter.
引用
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页数:17
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