Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative

Abstract

In this research work, generalized thermal and mass transports for the unsteady flow model of an incompressible differential type fluid are considered. The Caputo–Fabrizio fractional derivative is used for the respective generalization of Fourier’s and Fick’s laws. A MHD fluid flow is considered near a flat vertical surface subject to unsteady mechanical, thermal, and mass conditions at boundary. The governing equations of flow model are solved by integral transform, and closed form results for generalized momentum, thermal, and concentration fields are obtained. Generalized thermal and mass fluxes at boundary are quantified in terms of Nusselt and Sherwood numbers, respectively, and presented in tabular form. The significance of the physical parameters over the momentum, thermal, and concentration profiles is characterized by sketching the graphs.

Exploring the Impact of Prabhakar Fractional Derivatives on Bioconvection Flow of Nanofluids with Applications in Solar Energy

“…Sene [8] presented the fractionalized model by Caputo fractional operator on a viscous fluid with Newtonian heating. Razzaque et al [9] discussed the fractionalized thermal as well as mass transports for differential-type fluid by the the use of Caputo Fabrizio fractional derivative. Chu et al [10] obtain the analytical solution of the viscous nanofluid model comprehended by a nonlocal constant proportional Caputo (CPC) fractional operator with actual thermophysical properties.…”