Study of MHD Second Grade Flow through a Porous Microchannel under the Dual-Phase-Lag Heat and Mass Transfer Model
Authors
Abstract:
A semi-analytical investigation has been carried out to analyze unsteady MHD second-grade flow under the Dual-Phase-Lag (DPL) heat and mass transfer model in a vertical microchannel filled with porous material. Diffusion thermo (Dufour) effects and homogenous chemical reaction are considered as well. The governing partial differential equations are solved by using the Laplace transform method while its inversion is done numerically using INVLAP subroutine of MATLAB. The numerical values of fluid velocity, fluid temperature and species concentration are demonstrated through graphs while the numerical values of skin friction, heat transfer rate and mass transfer rate presented in tabular form for different values of parameters that govern the flow. For the first time, a comparison of heat transfer utilizing the classical Fourier’s heat conduction model, hyperbolic heat conduction Cattaneo-Vernotte (CV) model, and the DPL model is carried out for the flow of a second grade fluid. It is found that the differences between them vanish at dimensionless time t=0.4 (for temperature) and at t=0.5 (for velocity), i.e. at a time where the system reaches steady state. The influence of phase lag parameters in both thermal and solutal transport on the fluid flow characteristics have been deciphered and analyzed. The results conveyed through this article would help researchers to understand non-Fourier heat and mass transfer in the flow of second-grade fluids which may play a vital role in the design of systems in polymer industries.
similar resources
Unsteady Heat Transfer to MHD Oscillatory Flow through a Porous Medium under Slip Condition
In this paper, we investigate the effects of slip condition, transverse magnetic field and radiative heat transfer to unsteady flow of a conducting optically thin fluid through a channel filled with porous medium. Exact solution of the governing equations for fully developed flow is obtained in closed form. Detailed computations of the influence of the Grashof number, Hartmann number, slip para...
full textEffects of chemical reaction, Heat and Mass transfer and radiation on MHD flow along a vertical porous wall in the present of induced magnetic field
full text
Heat and Mass Transfer Analysis on MHD Peristaltic Prandtl Fluid Model through a Tapered Channel with Thermal Radiation
This paper deals with a theoretical investigation of heat and mass transfer with thermal radiation analysis on hydromagnetic peristaltic Prandtl fluid model with porous medium through an asymmetric tapered vertical channel under the influence of gravity field. Analytical results are found for the velocity, pressure gradient, pressure rise, frictional force, temperature and concentration. The in...
full textPore-scale Simulation of Coupled Two-phase Flow and Heat Transfer through Dual-Permeability Porous Medium
This paper addresses one of the major challenges in water-flooded oil reservoirs, which is early water breakthrough due to the presence of high permeable layers in the media. COMSOL Multiphysics is used to model two phase (water and oil) flow in dual-permeability porous medium at micro-scales. The heat transfer module is coupled with the laminar two-phase flow interface, because temperature aff...
full textHeat and Mass Transfer on MHD Flow of a Viscoelastic Fluid through Porous Media over a Shrinking Sheet
An attempt has been made to study the heat and mass transfer effect in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid over a shrinking sheet subject to transverse magnetic field in the presence of heat source. Effects of radiation, viscous dissipation, and uniform heat sink on the heat transfer have been considered. The method of solution involves s...
full textMathematical modeling of blood flow in a stenosed artery under MHD effect through porous medium
In this investigation, a mathematical model for studying oscillatory flow of blood in a stenosed artery under the influence of transverse magnetic field through porous medium has been developed. The equations of motion of blood flow are solved analytically. The analytical expressions for axial velocity, volumetric flow rate, pressure gradient, resistance to blood flow and shear stress have been...
full textMy Resources
Journal title
volume 5 issue 4
pages 763- 778
publication date 2019-06-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023