Unsteady Natural Convective Boundary Layer Flow and Heat Transfer of Fractional Second-Grade Nanofluids with Different Particle Shapes
Year: 2020
Author: Ming Shen, Yuhang Wu, Mengchen Zhang
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 257–269
Abstract
The present study is concerned with unsteady natural convective boundary layer flow and heat transfer of fractional second-grade nanofluids for different particle shapes. Nonlinear boundary layer governing equations are formulated with time fractional derivatives in the momentum equation. The governing boundary layer equations of continuity, momentum and energy are reduced by dimensionless variable. Numerical solutions of the momentum and energy equations are obtained by the finite difference method combined with L1-algorithm. The quantities of physical interest are graphically presented and discussed in details. It is found that particle shape, fractional derivative parameter and the Grashof number have profound influences on the the flow and heat transfer.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18589
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 257–269
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: second-grade nanofluid heat transfer Caputo derivative particle shape.