The generalized Fourier’s and Fick laws effects on MHD free convection flows of Maxwell fluids by employing Caputo–Fabrizio time-fractional integral

Abstract

The relevance of time-dependent magneto-free convection and its consequences for mass and energy transport are being increasingly understood in science. Unfortunately, very little is known about how the fractional generalized technique would affect a complete analysis of Maxwell fluid dynamics over a porous plate. Using the Caputo–Fabrizio time-fractional integral, the Fourier thermal flux law and the fractionally generalized Fick’s equation of mass flow are both generalized. Using the appropriate similarity transformations allows us to characterize the structured governing equations, which are nondimensionalized. The dimensionless energy, concentration, and velocity distribution problem is solved using the Laplace transform method. The graph demonstrates how physical and fractional parameters are affected. Fractional derivatives may be employed to accurately represent the rheology of such fluids. The Maxwell generalized fluid across an oscillating sheet was studied by Zheng et al. 3