THERMAL SCIENCE

International Scientific Journal

Yu-Ming Chu

,

Mushtaq Ahmad

,

Muhammad Imran Asjad

,

Dumitru Baleanu

FRACTIONAL MODEL OF SECOND GRADE FLUID INDUCED BY GENERALIZED THERMAL AND MOLECULAR FLUXES WITH CONSTANT PROPORTIONAL CAPUTO

ABSTRACT
In this research article, the constant proportional Caputo approach of fractional derivative is applied to derive the generalized thermal and molecular profiles for flow of second grade fluid over a vertical plate. The governing equations of the prescribed flow model are reduced to dimensionless form and then solved for temperature, concentration, and velocity via Laplace transform. Further graphs of field variables are sketched for parameter of interest. Comparison between present result and the existing results is also presented graphically.
KEYWORDS
constant proportional Caputo fractional derivative, natural convection, heat transfer, vertical geometry, analytical solution
PAPER SUBMITTED: 2021-03-06
PAPER REVISED: 2021-03-25
PAPER ACCEPTED: 2020-04-05
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2207C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [207 - 212]
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Fractional model of second grade fluid induced by generalized thermal and molecular fluxes with constant proportional caputo

© 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