Haar wavelet solution of the MHD Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid
Author(s) -
Najeeb Alam Khan,
Faqiha Sultan,
Amber Shaikh,
Asmat Ara,
Qammar Rubbab
Publication year - 2016
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4967212
Subject(s) - haar wavelet , partial differential equation , flow (mathematics) , ordinary differential equation , heat transfer , nonlinear system , magnetohydrodynamics , fluid dynamics , ode , wavelet , mathematics , physics , mathematical analysis , mechanics , wavelet transform , differential equation , magnetic field , computer science , discrete wavelet transform , quantum mechanics , artificial intelligence
This study deals with the numerical investigation of Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid in the presence of an outer magnetic field by using Haar wavelet method. Jeffery-Hamel flows occur in various practical situations involving flow between two non-parallel walls. Applications of such fluids in biological and industrial sciences brought a great concern to the investigation of flow characteristics in converging and diverging channels. A suitable similarity transformation is applied to transform the nonlinear coupled partial differential equations (PDEs) into nonlinear coupled ordinary differential equations (ODEs), which govern the momentum and heat transfer properties of the fluid. Due to the high nonlinearity of resulting coupled ODEs, the exact solution is unlikely. Thus, the solution is approximated using a numerical scheme based on Haar wavelets and the results are verified by comparing with 4th order Runge-Kutta results
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