Transport phenomena of a casson fluid flow in microchannel
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Date
2021
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UMT Lahore
Abstract
In this research work, we use a partial time derivative with an unequal core to investigate the typical bonding flow of Casson fluid flowing through a vertical microchannel at a constant wall temperature. The recently introduced fractional derivative, the Caputo-Fabrizio fractional derivative, is used to generalize the classical partial differential control flow equation. In this work, we use a Laplace transform to solve the problem and the Zakian method is used to obtain the inverse Laplace transform for the velocity and temperature distribution when the temperature of the channel walls is maintained at different constant temperatures. The effects on the flow fields of the radiation parameter and the number of Grashof are discussed through graphs. The effect of radiation is found to decrease the fluid velocity, whereas the effect of the number of Grashof is to increase the vertical channel fluid velocity. Parametric studies are carried out through graphs in which Grashof number, radiation, Prandtl number, and Casson fluid parameter on the velocity and temperature. The fractional Laplace transform technique is used to solve the set of partial differential equations that govern the flow.