Analysis of double stratification on heat and mass diffusion in Maxwell fluid along with temperature-dependent...

In this article, we present the numerical and theoretical studies on the steady, 2-dimensional flow of Maxwell fluid over an inclined heated surface. Further the thermal and solutal phenomena are investigated by assumed the binary chemical reaction along with the activation energy. The dynamic viscosity and thermal conductivity of fluid is considered as temperature dependent. The thermal and solutal stratification effects are introduced by assuming that the ambient fluid temperature and concentration vary linearly along the flow path. Further, the rates of thermal and solutal transport are investigated by using the Soret and Dufour effects. It is assumed that the thermal conductivity is a linear function of temperature. The Arrhenius-type activation energy term is used in the energy equation. This work is distinctive in the way that it considers double stratification, binary chemical reaction, Soret and Dufour effects, activation energy, and temperature-dependent viscosity in Maxwell fluid flow at the same time, despite other models that address these effects separately. The mathematical model (system of partial differential equations) and their realistic conditions at boundary are transformed into ordinary differential equations by adopting the similarity variables. Numerical system of the simultaneous system of differential equations is achieved by effective numerical approach (fifth order RK-Fehlberg method) along with shooting method. A representative set of subsequently results are plotted to visualize for the several values of physical constraints. The obtaining results show that the velocity region declines due to variable viscosity, thickness parameter and Hartmann number. For heat energy part, the temperature reduces due to thermal stratification parameter and opposite trend is seen due to Dufour number and thermal conductivity coefficient. For solutal conversion part, the concentration profile enhances due to Soret number and opposite results are obtained due to solutal relaxation coefficient and reaction coefficient.