Free convection flow of second grade dusty fluid between two parallel plates using Fick's and Fourier's laws: a fractional model.

ABSTRACT: The paper aims to investigate the channel flow of second grade visco-elastic fluid generated due to an oscillating wall. The effect of heat and mass transfer has been taken into account. The phenomenon has been modelled in terms of PDEs. The constitutive equations are fractionalized by using the definition of the Caputo fractional operator with Fick's and Fourier's Laws. The system of fractional PDEs is non-dimensionalized by using appropriate dimensionless variables. The closed-form solutions of thermal and concentration boundary layers are obtained by using the Laplace and finite Fourier-Sine transforms, while the momentum equation is solved by a numerical approach by Zakian using [Formula: see text]. Furthermore, the parametric influence of various embedded physical parameters on moment

SUBMITTER: Khan Z 

PROVIDER: S-EPMC8891311 | biostudies-literature | 2022 Mar

REPOSITORIES: biostudies-literature