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.
Highlights
Fractional calculus has been expanding rapidly in the present time for the sake of its applications in the modeling and physical explanation of natural phenomenon. e noninteger derivatives of fractional order have been applied successfully to the generalization of fundamental laws of nature specially in the transport phenomenon.Several approaches [1,2,3,4] of fractional derivatives have been proposed and utilized for the different proposes by many theorists from different fields of sciences and technology [5]
Khalid et al [13] obtained the results for flow of micropolar fluid and applied the fractional derivative for heat and mass transport
Kumar et al [15] explored the results for free convectional motion with a uniform temperature through a porous media by utilizing the power, exponential, and Mittag–Leffler kernels of fractional operator
Summary
Fractional calculus has been expanding rapidly in the present time for the sake of its applications in the modeling and physical explanation of natural phenomenon. e noninteger derivatives of fractional order have been applied successfully to the generalization of fundamental laws of nature specially in the transport phenomenon.Several approaches [1,2,3,4] of fractional derivatives have been proposed and utilized for the different proposes by many theorists from different fields of sciences and technology [5]. Imran et al [6] considered two different approaches of fractional differential operators for the flow of MHD Newtonian fluid under the arbitrary boundary conditions, namely, Atangana and Caputo–Fabrizio.
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