Abstract
In this analysis, steady, laminar, and two-dimensional boundary layer flow of nonlinear convection micropolar nanofluid due to a rotating disk is considered. The mathematical formulation for the flow problem has been made. By means of appropriate similarity transformation and dimensionless variables, the governing nonlinear boundary value problems were reduced into coupled high-order nonlinear ordinary differential equations with numerically solved. The equations were calculated using method bvp4c from matlab software for various quantities of main parameters. The influences of different parameters on skin friction coefficients f″0 and G′0, wall duo stress coefficients H1′0, -H2′0, and -H3′0, the Nusselt number -θ′0, and Sherwood number Ω′0, as well as the velocities, temperature, and concentration are analysed and discussed through tables and plotted graphs. The findings indicate that an increase in the values of thermal and solutal nonlinear convection parameters allow to increase the value of velocities f′η and Gη near surface of the disk and reduce at far away from the disk as well as thermal and solutal Grashof numbers tolerate to increase in the value of radial velocity f′η near surface of the disk.
Highlights
Eringen [1] was the first researcher who presents the theory of micropolar fluid for which the classical Navier–Stokes theory is has a limitation for its full description
Hamzeh [2] evaluated the behaviour of micropolar Casson fluid on natural convective flow past a solid sphere
It was found that material parameter diminishes the values of the narrow skin friction coefficient, but grows both values of the local Nusselt number and angular velocity profiles as its value rises
Summary
Eringen [1] was the first researcher who presents the theory of micropolar fluid for which the classical Navier–Stokes theory is has a limitation for its full description. Mostafa and Shimaa [7] reported the influence of magnetic field on flow and heat transfer of a micropolar fluid about a stretching surface in the presence of heat generation (absorption). The flow and heat transfer computations for nanofluid fluid flow and the impact of heat generation/consumption and thermal radiation over a rotating disk were analysed by Narfifah et al [17], Mushtaq and Mustafa [18], and Anwer et al [19]. MHD mixed convection movement of a nanofluid over nonlinear enlarging sheet including variable Brownian and thermophoretic diffusion coefficient have been evaluated by Sumalatha and Shanker [22], and the results illustrated that the influence of nonlinear stretching parameter drops both the flow of the fluid as well as temperature distribution. We evaluate numerically the nonlinear convection flow of micropolar nanofluid due to a rotating disk in the presence of multiple slip conditions, using bvp4c from matlab. e outcomes of physical parameters on fluid velocity, temperature, and concentration were discussed and indicated in graphs and tables as well
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