Computational study on the effects of variable viscosity of micropolar liquids on heat transfer in a channel

A numerical model is developed to study the effects of temperature-dependent viscosity on heat transfer in magnetohydrodynamic flow of micropolar fluid in a channel with stretching walls. The governing equations for linear and angular momenta and energy are transformed to a set of nonlinear ordinary...

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Bibliographic Details
Published in:Journal of thermal analysis and calorimetry 2021-09, Vol.145 (6), p.3269-3279
Main Authors: Rafiq, Shahid, Abbas, Zaheer, Nawaz, Muhammad, Alharbi, Sayer Obaid
Format: Article
Language:English
Subjects:
Analysis
Analytical Chemistry
Chemistry
Chemistry and Materials Science
Coefficient of friction
Computational fluid dynamics
Differential equations
Fluid flow
Heat flux
Heat transfer
Inorganic Chemistry
Magnetic fields
Magnetohydrodynamic flow
Magnetohydrodynamics
Measurement Science and Instrumentation
Micropolar fluids
Nonlinear differential equations
Numerical models
Ordinary differential equations
Parameters
Physical Chemistry
Physical properties
Polymer Sciences
Shear stress
Skin friction
Temperature dependence
Temperature effects
Temperature profiles
Viscosity
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Summary:A numerical model is developed to study the effects of temperature-dependent viscosity on heat transfer in magnetohydrodynamic flow of micropolar fluid in a channel with stretching walls. The governing equations for linear and angular momenta and energy are transformed to a set of nonlinear ordinary differential equations by using similarity variables, and resulting problems are solved numerically by quasi-linearization. The effects of the various physical parameters on velocity, microrotation and temperature profiles are presented graphically and numerically. Finally, the effects of pertinent parameters on local skin-friction coefficient and local Nusselt number are also presented graphically. Some important observations regarding the effect of vortex viscosity parameter, microinertia density parameter, spin gradient viscosity parameter and couple stress on flow fields are noted and displayed. Numerical values of shear stress, couple stress and heat flux are computed and tabulated. The viscosity variation parameter enhances the shear stress and the couple stress. However, the heat transfer exhibits an opposite trend. The viscosity parameter is the most influential on thermal distribution. The magnetic field acts as a retarding force which reduces the normal and streamwise velocities as well as the microrotation distribution
ISSN:1388-6150
1588-2926
DOI:10.1007/s10973-020-09889-0