Abstract
An incompressible, electrically conducting, bioconvective micropolar fluid flow between two stretchable disks is inspected. Modification versions of Fourier and Fick’s law are accounted through Cattaneo–Christov heat–mass theories. The nanofluid Buongiorno model is also utilized in constitutive equations. The influence of gyrotactic microorganism is also accounted through bioconvection. Similarity variables transform the fluid model into system of ordinary differential equations. The resultant model is then solved through bvp4c method. Results in pictorial and tabular ways are accomplished. It is found that stretching Reynolds number and magnetic parameter slows down the radial velocity at center of the plane. Motile microorganism field is reduced by Peclet number. Micropolar parameters can be useful in the enhancement of couple stresses and in reduction of shear stresses. A comparison is also elaborated with published work under limiting scenario for the validation of numerical scheme accuracy.
Highlights
The topic of fluid flow through disks is of main concern for scientists due to its significance usage in different fields of industry, chemical, and mechanical engineering processes such as air cleaning machine, centrifugal pumps, turbine machinery, metal pumping, electric power generating systems, jet motors, manufacturing of thin plastic sheets, paper fabrication, and insulating materials
There are quite a few theories existing such as micropolar fluids, dipolar fluids, and simple deformable directed fluids
Micropolar fluids represent fluids consisting of rigid, erratically tilting particles floating in medium where the twist of fluid particles is disregarded
Summary
The topic of fluid flow through disks is of main concern for scientists due to its significance usage in different fields of industry, chemical, and mechanical engineering processes such as air cleaning machine, centrifugal pumps, turbine machinery, metal pumping, electric power generating systems, jet motors, manufacturing of thin plastic sheets, paper fabrication, and insulating materials. Bioconvection of micropolar nanofluid flow confined through stretchable disk is analyzed in numerical way through bvp4c method. Where V~ represents the velocity field, D=Dt is the material derivative, q is the fluid density, p is the pressure, l is the dynamic viscosity, k is the vortex viscosity, *t is the microrotation, j is the microinertia, a; b and c are the gyroviscosity coefficients, respectively, J~ is the current density, B~ is the total magnetic field, and re denotes the electrical conductivity. Where p, k, l, q, c, j, re, T, C, N, s 1⁄4 ðqcÞp=ðqcÞf, cp, Tm, DB, DT, c2, c1, Wc, b, Dn, E, and E1 represent pressure, vortex viscosity, dynamic viscosity, density, spin gradient viscosity, microinertia density, electrical conductivity, temperature, concentration, microorganisms, nanoparticle ratio of heat and base fluid capacity, specific heat, mean fluid temperature, thermophoretic diffusion coefficient, Brownian diffusion coefficient, concentration relaxation time, thermal relaxation time, maximum swimming speed of cell, chemotaxis constant, microorganism diffusivity constant, lower disk stretching rate, and upper disk stretching rate, respectively. The similarity transformations for velocity, microrotation, temperature, concentration, and microorganisms are defined by[34]
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