THERMAL SCIENCE

International Scientific Journal

Shengting Chen

,

Liancun Zheng

,

Chunrui Li

,

Jize Sui

TIME-SPACE DEPENDENT FRACTIONAL VISCOELASTIC MHD FLUID FLOW AND HEAT TRANSFER OVER ACCELERATING PLATE WITH SLIP BOUNDARY

ABSTRACT
The MHD flow and heat transfer of viscoelastic fluid over an accelerating plate with slip boundary are investigated. Different from most classical works, a modified time-space dependent fractional Maxwell fluid model is proposed in depicting the constitutive relationship of the fluid. Numerical solutions are obtained by explicit finite difference approximation and exact solutions are also presented for the limiting cases in integral and series forms. Furthermore, the effects of parameters on the flow and heat transfer behavior are analyzed and discussed in detail.
KEYWORDS
MHD flow, Maxwell fluid, time-space fractional derivatives, slip boundary
PAPER SUBMITTED: 2015-06-14
PAPER REVISED: 2015-09-13
PAPER ACCEPTED: 2015-09-15
PUBLISHED ONLINE: 2015-09-26
DOI REFERENCE: https://doi.org/10.2298/TSCI150614145C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 6, PAGES [2337 - 2345]
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Time-space dependent fractional viscoelastic MHD fluid flow and heat transfer over accelerating plate with slip boundary

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence