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2020 | OriginalPaper | Chapter

Effects of Viscosity, Thermal Conductivity, and Heat Source on MHD Convective Heat Transfer in a Vertical Channel with Thermal Slip Condition

Authors : G. Kiran Kumar, G. Srinivas, B. Suresh Babu

Published in: Recent Trends in Wave Mechanics and Vibrations

Publisher: Springer Singapore

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Abstract

The present paper aims to study the effects of nonuniform fluid viscosity and thermal conductivity on MHD flow and heat transfer of fluid in a vertical channel with heat source by considering thermal slip boundary conditions. Consideration of temperature-dependent viscosity, thermal conductivity, and magnetic parameter yields a highly nonlinear coupled system of partial differential equations. The coupled nonlinear partial differential equations governing the problem are reduced to a system of coupled highly nonlinear higher order ordinary differential equations by applying suitable similarity transformations. The system of higher order ordinary differential equations is then solved by employing Runge–Kutta sixth-order method.

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previous chapter Flow Analysis of Reiner–Rivlin Fluid Between Two Stretchable Rotating Disks
next chapter Diffraction of Scalar-Impulsive(SH) Waves by a Spherical Cavity Embedded in an Inhomogeneous Medium
Literature
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Martin MJ, Boyd LD (2006) Momentum and heat transfer in a laminar boundary layer with slip flow. J Thermo Phys Heat Transfer 20(4):710–719CrossRef
2.
Aziz Abdul (2010) Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition. Commun Nonlinear Sci Numer Simul 15:573–580CrossRef
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Rahman MM (2010) Locally similar solutions for hydro magnetic and thermal slip flow boundary layers over a flat plate with variable fluid properties and convective surface boundary condition. 46(5):1127–1143
4.
Khan WA, Uddin MJ, Ismail AIM (2013) Hydrodynamic and thermal slip effect on double- free convective boundary layer flow of a nanofluid past a flat vertical plate in the moving free stream. PLoS ONE 8(3):e54024. Author F (2016) Article title. J 2(5):99–110CrossRef
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Mishra Upendra, Singh Gurminder (2014) Dual solutions of mixed convection flow with momentum and thermal slip flow over a permeable shrinking cylinder. Comput Fluids 93:107–115MathSciNetCrossRef
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Aziz A, Ali Y, Aziz T, Siddique JI (2015) Heat transfer analysis for stationary boundary layer slip flow of a power-law fluid in a darcy porous medium with plate suction/injection. PLOS ONE 10(9):e0138855CrossRef
Metadata
Title
Effects of Viscosity, Thermal Conductivity, and Heat Source on MHD Convective Heat Transfer in a Vertical Channel with Thermal Slip Condition
Authors
G. Kiran Kumar
G. Srinivas
B. Suresh Babu
Copyright Year
2020
Publisher
Springer Singapore
Book
Recent Trends in Wave Mechanics and Vibrations

Print ISBN: 978-981-15-0286-6

Electronic ISBN: 978-981-15-0287-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-0287-3_6

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