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Heat Transfer Analysis for Peristalsis of MHD Carreau Fluid in a Curved Channel Through Modified Darcy Law

Published online by Cambridge University Press:  30 August 2018

A. Tanveer ,
T. Hayat ,
A. Alsaedi  and
B. Ahmad
A. Tanveer*
Affiliation:
Department of Mathematics Quaid-I-Azam University Islamabad, Pakistan Department of Mathematics Mirpur University of Science and Technology Azad Jammu and Kashmir Mirpur, Pakistan
T. Hayat
Affiliation:
Department of Mathematics Quaid-I-Azam University Islamabad, Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
A. Alsaedi
Affiliation:
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
B. Ahmad
Affiliation:
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
*
* Corresponding author (anum@math.qau.edu.pk)
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Abstract

The present analysis has been developed to investigate the heat transfer phenomenon in peristaltic flow of Carreau fluid in a curved channel with rhythmic contraction and expansion of waves along the walls (similar to blood flow in tubes). Magnetic field is imposed in radial direction. The heat transfer aspect is further studied with viscous dissipation effect. The curved channel walls are influenced by flow and thermal partial slip. In addition the flow stream comprised porous medium. The system of relevant non-linear PDEs have been reduced to ODEs by utilizing the long wavelength approximation. The striking features of flow and temperature characteristics under the involved parameters are examined by plotting graphs. The generation of fluid temperature and velocity due to viscous dissipation and gravitational efforts are recorded respectively. Moreover indicated results signify activation of velocity, temperature and heat transfer rate with Darcy number.

Keywords

Porous mediumCurved channelCarreau fluidMHDWall propertiesSlip effectsNumerical solutions
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 4 , August 2019 , pp. 527 - 535
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

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