Abstract
The Darcy-Forchheimer flow of a Williamson fluid over a Riga plate was analyzed in this paper. Energy and mass equations are modeled with Cattaneo-Christov theory and double stratifications. The governing PDE models are altered into ODE models. These models are numerically solved by MATLAB bvp4c and analytically solved by the homotopy analysis method. The impact of governing flow parameters on fluid velocity, fluid temperature, fluid concentration, skin-friction coefficient, local Nusselt number, and local Sherwood number is scrutinized via graphs and tables. We acknowledged that the speed of the fluid becomes diminishes for more presence of porosity parameter. Also, we noted that the thermal and solutal boundary layer thicknesses are waning due to their corresponding stratification parameters. In addition, the maximum decreasing percentage of skin friction is obtained when the suction/injection parameter varies from 0.0 to 0.4 for Williamson and viscous fluids. The maximum increasing percentage of local Nusselt number occurs when the suction/injection parameter varies from 0.4 to 0.8 for Williamson and viscous fluids.
Highlights
Non-Newtonian fluids are extensively implemented in diverse industrial processes such as petroleum drilling, drawing of plastic films, fibre spinning, and food production
The flow of thermally radiative Williamson fluid on a stretching sheet with chemical reaction was disclosed by Krishnamurthy et al [2]
Nadeem et al [5] examined the Williamson fluid flow past a stretching sheet, and they found that the skin friction coefficient decreases with enhancing the Williamson parameter
Summary
Non-Newtonian fluids are extensively implemented in diverse industrial processes such as petroleum drilling, drawing of plastic films, fibre spinning, and food production. The radiative flow of a hyperbolic tangent fluid with chemical reaction and dual stratification’s in a porous medium was elucidated by Khan et al [28] They found that the fluid concentration downturns for the high magnitude of the stratified thermal parameter. Our study elucidates the outcome of the Darcy-Forchheimer flow of a Williamson fluid in the presence of double stratifications, thermal radiation, and chemical reaction on a Riga plate. These types of outcomes will be definitely helpful for a thermal engineer to modeling the thermal systems. The heat and mass transfer phenomena are illustrated by the Cattaneo-Christov dual flux model and the Riga plate is used to control the fluid flow
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