Numerical Computations of Non-Newtonian Fluid Flow in Hexagonal Cavity With a Square Obstacle: A Hybrid Mesh–Based Study

Thermal flow phenomena in a double lid–driven enclosure have many potential applications numerous engineering domains. The present article theoretically investigates the heat transfer analysis of power-law fluid hexagonal cavity embedded with square obstacle. upper and lower lid walls are considered heated along centered square, while rest thermally insulated. In addition, horizontal uniformly moving opposite directions. mathematical modeling nonlinear has been developed considering continuity, momentum, energy equations subjected to appropriate boundary conditions. Due nonlinearity governing partial differential viscosity models, we use numerical scheme based on finite element method stable pair ( ℙ2/ℙ1 ) selected for discretization purpose. discretized system is solved Newton conjunction direct linear solver inner iterations. thermal features exposed via streamlines temperature contours set parameters such as Reynolds number Re ), Prandtl id="m2">(Pr) , Grashof Gr index (n) . values local average Nusselt numbers calculated involved parameters. It noted that obstacle strong impact formulation isotherms. Moreover, kinetic energy. increases an increasing value n, effects