MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity

Abstract

In this work, the effects of slip velocity on the flow and heat transfer for an electrically conducting micropolar fluid over a permeable stretching surface with variable heat flux in the presence of heat generation (absorption) and a transverse magnetic field are investigated. The governing partial differential equations describing the problem are converted to a system of non-linear ordinary differential equations by using the similarity transformation, which is solved numerically using the Chebyshev spectral method. The effects of the slip parameter on the flow, micro-rotation and temperature profiles as well as on the local skin-friction coefficient, the wall couple stress and the local Nusselt number are presented graphically. The numerical results of the local skin-friction coefficient, the wall couple stress and the local Nusselt number are given in a tabular form and discussed.

Effect of viscous dissipation of a magneto hydrodynamic micropolar fluid with momentum and temperature dependent slip flow

“…computed by bvp4cMATLAB solver are additionally benchmarked with those reported by Andersson [23], Mahmoud [24] and Mahmoud and Waheed [21] as presented in Table 2. In all the above cases we have observedthatour values are veryclose to the previously published values.…”

“…The boundary conditions designed for the velocity, Angular Velocity as well astemperature fields are The equations (2.2) to (2.5) are transformed into a system of ordinary differential equations with the help of subsequent similarity transformations [21] .In addition tothat we introduce dimensionless variables are as follows…”

“…Bharathi Devi and Gangadhar [18] studied the Flakner-Skan boundary layer flow above a motionless Wedge with thermal slip plus momentum boundary conditions and the temperature needy thermal conductivity in the company ofpermeable medium along with viscous dissipation.Gangadhar [19] investigated the effects of radiation, heatgeneration,magnetohydrodynamicalong with viscous dissipation on the laminar boundary layer on a flatplate in a consistentflow of fluid (Blasius flow), and on a moving plate in aninactive ambient fluid (Sakiadis flow) together under a convective surface boundary condition. Rashad [20] investigated the radiativeconsequence on free convection flows in thepermeable medium in the company ofstress work and viscous dissipation.Mahmoud and Waheed [21] investigated the consequences of slip velocity on the flow plus heat transfer for an electrically conducting micropolar fluid above a porousextending surface throughinconsistent heat changein the company of heat production and a transverse magnetic field. In this paper, MHD flow, as well as heat transport for an electrically,carry out micropolar fluid past a porousextending surface with slip flow in the company of viscous dissipation as well astemperature dependent slip flow isinvestigated.With the help of the similarity transformations, the principal equations have been changed into a set of ordinary differential equations, which are nonlinear and cannot be work out analytically, as a result, bvp4c MATLAB solver has been utilized to get the solution.…”

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

“…In recent years, investigators are more interested on heat generation dynamical effects (Abbas et al, 2016;Bararnia et al, 2009;Hady et al, 2006;Kataria and Patel, 2016;Khan and Mahmood, 2016;Li et al, 2016;Madhava Reddy et al, 2015;Mahmoud and Waheed, 2012;Srinivasa and Eswara, 2016;Zhang and Zheng, 2012). Reddy and Chamkha (2016) reported heat generation/absorption effects on MHD convective Al2O3-water and TiO2-water nanofluids flow past a stretching sheet.…”

Impact of an inclined magnetic field, heat generation/absorption and radiation on the peristaltic flow of a Micropolar fluid through a porous non-uniform channel with slip velocity

“…Neglecting the body couple, the micro-inertia and viscous dissipation, the governing equations for unsteady flow of a micro-polar fluid taking into account the presence of heat generation (absorption) in the energy equation [23] are given by Conservation of mass:…”