Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Mathematical Sciences-Aims
Access Rights
info:eu-repo/semantics/openAccess
Abstract
This research article is design to elaborate the rule and significance of fractional derivative for heat transport in drilling of nanofluid. The respective nanofluid formed by the suspension of clay nanoparticles in the base fluids namely Casson fluid. The physical flow phenomenon is demonstrated with the help of partial differential equations by utilizing the respective thermophysical properties of nanoparticles. Also the geometric and thermal conditions are imposed in flow domain. In the governing equations, the partial derivative with respect to time replaced by new hybrid fractional derivative and then solved analytically for temperature and velocity field with the help of Laplace transformed. The obtained solutions for temperature and velocity are presented geometrically by Mathcad software to see the effectiveness of potent parameters. The temperature and velocity present a significant increasing trend for increasing volume fraction parameter. The obtained results for temperature as well as velocity are also compared with the existing literature and it is concluded that field variables with new hybrid fractional derivative, show more decaying trend as compare to the results with Caputo and Caputo-Fabrizio fractional derivatives.
Description
Keywords
Casson fluid, Clay nanoparticles, new, vertical plate, heat transfer, hybrid fractional derivative
Journal or Series
Aims Mathematics
WoS Q Value
Q1
Scopus Q Value
Q1
Volume
6
Issue
3
