Abstract
The current investigation is concerned with heat transfer and entropy generation analysis in a horizontal channel brimming with porous medium in the existence of aligned magnetic field, viscous and joules dissipation and temperature gradient heat source. The boundary conditions are treated as constant values for velocity and temperature at lower and upper walls. An explicit solution of governing equations has been attained in closed system. The repercussions of pertinent parameters on the fluid velocity, temperature, entropy generation and Bejan number are conferred and scrutinized through graphs in detail. Additionally the expressions for shear stress and the rate of heat transfer coefficients at the channel walls are derived and results obtained are physically interpreted through tables. From the conquered results, it is addressed that Brinkman number Br enhances boundary layer thickness. Entropy generation increases with intensifying values of M, aligned angle ϕ, temperature gradient heat source parameter Q, characteristic temperature ration omega and permeability parameter K. The shear stress is same at both the lower and upper walls.
Highlights
Magnetohydrodynamics is a main branch of fluid dynamics
√ u∗ at u∗ = − u0 instead of slip The target of the current condition work is to contemplate the properties of temperature gradient heat source and entropy generation on aligned magnetic arena in the subsistence of thermal radiation, viscous dissipation and joules dissipation
The implications of physical parameters such as Brinkman number Br, Hartmann magnetic number M, radiation parameter N, permeability parameter K, aligned angle parameter φ, characteristic temperature ratio and temperature gradient heat source parameter Q are probed on the velocity and temperature distributions, Bejan number and entropy generation
Summary
Magnetohydrodynamics is a main branch of fluid dynamics. It is concerned with the interaction of electrically conducting fluids and electromagnetic fluids. Srinivasacharya and Hima Bindu [20] presented entropy generation and Bejan number of micro rotation polar flow fluid in a concentric annulus by means of the external cylinder with fixed velocity. In this investigation utilized quasi linearization technique to solve the equations. This paper is apprehensive with the impacts of entropy generation as well as temperature gradient heat source on steady Couette flow with both plates lower and upper move with a uniform velocity by the means of aligned magnetic field, thermal emission, viscous dissipation and joules dissipation. The shear stress and heat transfer rate at the channel surfaces are derived and discussed their behavior through tables
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