Unsteady MHD Non-Darcian Flow Over a Vertical Stretching Plate Embedded in a Porous Medium with Thermal Non-Equilibrium Model

Abstract

An analysis is performed to study the influence of local thermal non-equilibrium (LTNE) on unsteady MHD laminar boundary layer flow of viscous, incompressible fluid over a vertical stretching plate embedded in a sparsely packed porous medium in the presence of heat generation/absorption. The flow in the porous medium is governed by Brinkman-Forchheimer extended Darcy model. A uniform heat source or sink is presented in the solid phase. By applying similarity analysis, the governing partial differential equations are transformed into a set of time dependent non-linear coupled ordinary differential equations and they are solved numerically by Runge-Kutta Fehlberg method along with shooting technique. The obtained results are displayed graphically to illustrate the influence of different physical parameters on the velocity, temperature profile and heat transfer rate for both fluid and solid phases. Moreover, the numerical results obtained in this study are compared with the existing literature in the case of LTE and found that they are in good agreement.

Heat and Mass Transfer Analysis in Chemically Reacting Flow of Non-Newtonian Liquid with Local Thermal Non-Equilibrium Conditions: A Comparative Study

“…The numerical findings are also compared for the thermal gradient obtained with existing works shown in Table 1. Here, the obtained numerical solutions are compared to solutions obtained by Ishak et al [26] (finite-element method), Vajravelu et al [27] (Keller box method), and Prakash et al [4] (Runge-Kutta-Fehlberg method), who all used different methods to solve models related to boundary value flow past stretching surfaces, and attained a better agreement with them.…”

“…Homogeneousness in the porous medium is assumed. The heat transfer analysis of the liquid and solid phases is analysed by using two different heat transport equations [1,4]. It is also worth noting that these equations are in the form of time-invariant partial differential equations.…”

“…It is also worth noting that these equations are in the form of time-invariant partial differential equations. The equations for the assumed flow, heat, and mass transfer scrutiny inside the porous medium takes the following form [4,16,17]:…”

“…In general, there are many relaxation times, each of which is linked to an internal reaction. However, a black box approach and a single relaxation time are used for the The equations for the assumed flow, heat, and mass transfer scrutiny inside the porous medium takes the following form [4,16,17]:…”

“…Sheremet et al [3] coupled the LTNE with a Tiwari-Das nanoliquid model to replicate natural convection in a square cavity filled with a nanoliquid. Prakash et al [4] inspected the non-Darcian Energies 2021, 14, 5019 2 of 15 flow of liquid on an upright stretched plate encased in a porous medium using the LTNE model. Mahajan and Sharma [5] demonstrated the consequences of LTNE on convection in magneto-nanoliquids.…”