Enhancement of heat and mass transfer of a physical model using Generalized Caputo fractional derivative of variable order and modified Laplace transform method

Abstract

In this paper, we use a model of non-Newtonian second grade fluid which having three partial differential
equations of momentum, heat and mass transfer with initial condition and boundary condition. We
develop the modified Laplace transform of this model with fractional order generalized Caputo fractional operator.
We find out the solutions for temperature, concentration and velocity fields by using modified Laplace
transform and investigated the impact of the order α and ρ on temperature, concentration and velocity fields
respectively. From the graphical results, we have seen that both the α and ρ have reverse effect on the fluid
flow properties. In consequence, it is observed that flow properties of present model can be enhanced near
the plate for smaller and larger values of ρ. Furthermore, we have compared the present results with the
existing literature for the validation and found that they are in good agreement.