Free convection channel flow of couple stress casson fluid: A fractional model using Fourier’s and Fick’s laws

Fractional calculus is a branch of mathematics that develops from the usual definitions integral and derivative operators, just as fractional exponents emerge integer exponents. The has been successfully used to describe various fundamental processes, including coiling polymer, viscoelasticity, traffic construction, diffusive transport, fluid dynamics, electromagnetic theory electrical networks. However, many researchers do not use derivatives understand physical properties non-Newtonian flows over moving plate. present paper aims consider couple stress Casson between parallel plates under variable conditions. flow regime formulated in terms partial differential equations. Unlike published work, this model fractionalized using Fick’s Fourier’s Laws. system dimensionless PDEs solved by joint applications Laplace Fourier transforms. influence several parameters, such Grashof number, parameter, parameter etc . , on velocity, temperature, concentration profiles are represented graphically explained physically. Furthermore, skin friction, Sherwood Nusselt numbers numerically calculated presented tabular form. It noted parameters fraction opposite velocity. Also, number decreases with increasing values Pr increases for decreasing Sc results show velocity function while permeability numbers. also worth noting that, unlike classical model, study provides solutions range an in-between (0, 1], shown Figures 2 7 8 ) which might be useful experimental numerical solver compare their results.