Natural convection flow maxwell fluids with generalized thermal transport and newtonian heating

• Published in: Case studies in thermal engineering Vol. 27; p. 101226
• Main Authors: Zhang, Xiao-Hong, Shah, Rasool, Saleem, S., Shah, Nehad Ali, Khan, Zar Ali, Chung, Jae Dong
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-10-2021; Elsevier
• Subjects: Exact solution; Laplace transform; Maxwell fluids; Mittag-leffler functions; Prabhakar derivative; Slip conditions; Maxwell fluids; Prabhakar derivative; Laplace transform; Slip conditions; Mittag-leffler functions; Exact solution
• ISSN: 2214-157X; 2214-157X
• DOI: 10.1016/j.csite.2021.101226

The objective of this article is to explore the unsteady natural convection flows of Prabhakar-like non integer Maxwell fluid. Moreover, wall slip condition on temperature and Newtonian effects on heating are also studied. The generalized memory effects are illustrated with fractional time Prabhakar derivative. Dimensionless temperature and velocity are calculated analytically with the help of Laplace transform technique. A comparison among Prabhakar fractional natural convection flows and classical thermal transport which, illustrated by the Fourier's law. As a limiting case, we recovered the solution of ordinary Maxwell and Newtonian fluids from fractional Maxwell fluids with slip and no slip conditions. The results of fractional and important physical parameters are graphically covered. Accordingly, by comparing Maxwell fluids to viscous fluids, we found out that Maxwell fluids are move rapidly than viscous fluids. Moreover, the ordinary fluids moving fast than fractional fluids.