CFD analysis for characterization of non-linear power law material in a channel driven cavity with a square cylinder by measuring variation in drag and lift forces

Current communication is manifested to investigate flowing features of power law mate-rial in a newly proposed physical configuration namely the channel driven cavity. Sincepower law fluid discloses the dynamical features of shear thinning, shear thickening andNewtonian materials so in present communication it is considered for depiction of flowattributes. To achieve the desired outcomes from the work, a unit length cavity is placedbelow the channel. The flow is induced with parabolic inlet velocity and a Neumann condi-tion is applied at the outlet, while no slip condition is set at all other boundaries. A squarecylinder is placed in the channel with varying positions giving rise to three computationalgrids named as G1, G2and G3.Mathematical modelling is constructed by obliging funda-mental conservation and rheological laws for power law fluid. Since the representativeequations are complex in nature so an efficient computational procedure based on finiteelement method (FEM) is executed. A hybrid computational grid is generated at coarse leveland then further refinement is done to improve the accuracy of the solution. The solution isapproximated by adopting P2â' P1element based on second and first order polynomial shapefunctions. Graphical trends against involved parametric variables are adorned. In additionfor more physical insight of problem velocity and pressure plots and line graphs are added.Furthermore, the hydrodynamical benchmark quantities like pressure drop, drag and liftcoefficients are evaluated in tabular form around the outer surface of obstacle.