Reynold’s model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls

Abstract

The two dimensional heat transfer of a free convective-radiative MHD (magnetohydrodynamics) flows with variable viscosity and heat source of a viscous incompressible fluid in a porous medium between two vertical wavy walls was investigated. The fluid viscosity is assumed to vary as an exponential function of temperature. The flow is assumed to consist of a mean part and a perturbed part. The perturbed quantities were expressed in terms of complex exponential series of plane wave equation. The resultant differential equations governing the flow were non-dimensionalised and solved using Differential Transform Method (DTM). The numerical computations were presented in tabular and graphical forms for various fluid parameters. It shows that an increase in radiation, variable viscosity and permeability parameters cause a rise in velocity profile. Nusselt number increases with increase in heat source and decreases with increase in radiation parameter at both walls.

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

“…Figure 5 clearly shows that the temperature profile declines as there is an increment in values of α T up to a certain distance ξ while the momentum boundary layer thickness increases so that the heat transference process from the sheet to fluid decreases with increasing values of α T . Figures 6 and 7 demonstrate that the temperature and nanoparticle concentration decline with the increasing values of thermal and solutal stratification parameters S 1 , and S 2 , while the thickness of the thermal boundary layer increases maximally [36]. It is clear that with the increasing values of S 1 and S 2 , the decrement in temperature is possible so it can be controlled by controlling the values of the stratification parameters.…”

“…The temperature T w at the surface, T c is the curie temperature and T ∞ is the temperature of the fluid away from the surface. The viscosity of fluid in Equation (2), which is temperature-dependent and thus might fluctuate exponentially, can be mathematically expressed as [36]…”

“…By applying similarities (6) and (7) and then using Maclaurin's series, we attain the expression as [36] e…”

Variable Viscosity Effects on Unsteady MHD an Axisymmetric Nanofluid Flow over a Stretching Surface with Thermo-Diffusion: FEM Approach

“…Followings are the similarity transformations to solve Equations (1)-(5) stated as (see [12,27]): The fluid's viscosity in Equation (2) depends on the temperature and it varies exponentially. The mathematical form of the Reynolds exponential viscosity model is [29]:…”

“…where the dependence of intensity between T and µ(T) is indicated by H. µ 0 displays the fluid's viscosity at T ∞ . Using the transformation of similarity in Equation (8) and then the Maclaurin's expansion, we get [29]:…”