Investigating the stagnation point and Darcy-Forchheimer flow of heat and mass transport with thermal radiation and activation energy

Abstract

In this paper, the stagnation point and boundary layer flow of two-dimension Williamson fluid flow near a stretching cylinder along porous medium is examined. The transference analysis of mass and heat in the occurrence of thermal radiation, heat absorption and activation energy are investigated. The double stratification is implemented to analyze its impact on the thermal and solutal fields. The main leading equations are solved by applying the boundary layer approximation. By assuming the similarity variables, the main equations of the Williamson fluid are transformed into ordinary differential equations. In order to solve numerical solutions, a well-known numerical technique is adopted on MATLAB software namely ‘Bvp4c’. The fluid's velocity experiences an increment with changes in the buoyancy parameter, curvature parameter and the Williamson fluid coefficient, whereas the velocity distribution diminishes due to variations in the porosity parameter, stretching parameter and Forchheimer number. The temperature in a given region decreases due to the influence of both the Prandtl number and curvature parameter. The fluid temperature exhibits incrementing outputs in the presence of changes in the curvature parameter, thermal stratification parameter and heat generation. The solutal stratification parameter, temperature difference parameter and Schmidt number lead to a reduction in the fluid concentration. The concentration profile increases under the influence of curvature parameter. The validation of numerical finding is also included here which show similar trend with published work.

Keywords

• Williamson fluid
• Double stratification
• Stagnation point
• Thermal radiation
• Heat generation
• Activation energy