Two-dimensional gyrotactic microorganisms flow of hydromagnetic power law nanofluid past an elongated sheet. (November 2019)

• Record Type: Journal Article
• Authors: Ferdows, M; Reddy, M Gnaneswara; Sun, Shuyu; Alzahrani, Faris
• Is Part Of: Advances in mechanical engineering. Volume 11:Number 11(2019)
• Publication Date: 2019-11
• Subjects: Magnetohydrodynamic -- gyrotactic microorganisms -- Brownian motion -- thermophoresis -- similar solution -- spectral relaxation method; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/1687814019881252
• Languages: English
• ISSNs: 1687-8132

Abstract

This article, describes two-dimensional magnetohydrodynamic steady incompressible viscous power law nanofluid comprising gyrotactic microorganisms adjacent to a vertical stretching sheet. The governing non-linear partial differential equations are lessened to a set of non-linear ordinary differential equation using similitude transformation. The non-dimensional boundary value problem is then solved under spectral relaxation method. The influences of different parameters such as buoyancy convection parameters( λ 1, λ 2, λ 3 ), magnetic field parameter M, power law parametern, Prandtl numberPr, modified Prandtl numberPr m, thermophoresis parameterNt, Peclet numberPe, Lewis numberLe, Brownian motion parameterNb, bioconvection Lewis numberLb, and bioconvection constantσ on flow convective characteristics phenomena are explored via plots and tables. The skin friction factor, rate of heat transfer, rate of mass transfer, and the density number of the motile microorganisms near the surface are also computed. Our results are compared with the existing results to support our model. Residual error analysis is determined for showing the convergence rate against iteration. Our result showed that the momentum thickness reduces as the value ofM induces and thermal boundary thickness increases as the value ofM induces. We also revealed that the density of the motile microorganismsχ is a reducing function ofPe, Lb, σ and concentration boundary layer induces with the increase ofNt, M, n, whereas its thickness close to the surface decreases with increasing ofNb, Le, n, Pr m, λ 1, λ 3 . Also, the stream line patterns are exhibited to the impact of physical sundry variables.