MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using CattaneoChristov heat flux model
Abstract
Present study examines the numerical analysis of MHD flow of Maxwell fluid with thermal radiation and Joule heating by considering the recently developed CattaneoChristov heat flux model which explains the time relaxation characteristics for the heat flux. The objective is to analyze the governing parameters such as viscoelastic fluid parameter, Magnetic parameter, Eckert and Prandtl number’s impact on the velocity and temperature profiles through graphs and tables. Suitable similarity transformations have been used to reduce the formulated PDEs into a system of coupled nonlinear ODEs. Shooting technique has been invoked for finding the numerical solutions of the dimensionless velocity and temperature profiles. Additionally, the MATLAB builtin routine bvp4c has also been used to verify and strengthen the results obtained by shooting method. From some special cases of the present work, a comparison with the previously published results has been presented.
 Authors:
 Department of Mathematics, Capital University of Science and Technology, Islamabad (Pakistan)
 Publication Date:
 OSTI Identifier:
 22611415
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Advances; Journal Volume: 6; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; FLUIDS; HEAT FLUX; HEAT TRANSFER; JOULE HEATING; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; NUMERICAL SOLUTION; PRANDTL NUMBER; RELAXATION; THERMAL RADIATION; TRANSFORMATIONS; VELOCITY
Citation Formats
Shah, S., Email: sajidshah313@yahoo.com, Hussain, S., and Sagheer, M. MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using CattaneoChristov heat flux model. United States: N. p., 2016.
Web. doi:10.1063/1.4960830.
Shah, S., Email: sajidshah313@yahoo.com, Hussain, S., & Sagheer, M. MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using CattaneoChristov heat flux model. United States. doi:10.1063/1.4960830.
Shah, S., Email: sajidshah313@yahoo.com, Hussain, S., and Sagheer, M. 2016.
"MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using CattaneoChristov heat flux model". United States.
doi:10.1063/1.4960830.
@article{osti_22611415,
title = {MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using CattaneoChristov heat flux model},
author = {Shah, S., Email: sajidshah313@yahoo.com and Hussain, S. and Sagheer, M.},
abstractNote = {Present study examines the numerical analysis of MHD flow of Maxwell fluid with thermal radiation and Joule heating by considering the recently developed CattaneoChristov heat flux model which explains the time relaxation characteristics for the heat flux. The objective is to analyze the governing parameters such as viscoelastic fluid parameter, Magnetic parameter, Eckert and Prandtl number’s impact on the velocity and temperature profiles through graphs and tables. Suitable similarity transformations have been used to reduce the formulated PDEs into a system of coupled nonlinear ODEs. Shooting technique has been invoked for finding the numerical solutions of the dimensionless velocity and temperature profiles. Additionally, the MATLAB builtin routine bvp4c has also been used to verify and strengthen the results obtained by shooting method. From some special cases of the present work, a comparison with the previously published results has been presented.},
doi = {10.1063/1.4960830},
journal = {AIP Advances},
number = 8,
volume = 6,
place = {United States},
year = 2016,
month = 8
}

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