Mixed convection and sensitivity analysis of impinging jet flow of engine oil on rotating heated cylinder with high Prandtl numbers

This work investigates the impinging engine oil jet flow on a rotating heated cylinder with high Prandtl numbers through a combination of convection and sensitivity analysis. The impinging jet has an inlet in the middle of the upper wall and two outlets on its left and right sides. The outlets experience zero gradients, and the inlet is thermally cold. The finite element method (FEM) is used to solve the governing equations. The heated cylinder can rotate clockwise and counter-clockwise direction at ω and − ω , respectively. The impinging jet’s upper and lower walls are kept at a cold temperature ( T c ) . The Prandtl number ( 10 ≤ P r ≤ 1000 ) , Reynolds number ( 100 ≤ R e ≤ 300 ) , angular rotational velocity ( − 30 ≤ ω ≤ 30 ) , and Richardson number ( R i = 1 ) are among the important parameters that have been numerically simulated. Streamlines, isotherms, velocity, temperature, local and average Nusselt numbers, and sensitivity analysis are used to display the results. Higher Reynolds and Prandtl numbers correspond to an increase in the local Nusselt number. When the Prandtl number rises from P r = 50 to 100 and P r = 1000 at ω = 0 , the average Nusselt number, N u ¯ , increases by 28.2% and 191.85%. A sensitivity analysis was performed using variance analysis (ANOVA). The sensitivity for P r , R e , and ω is positive at the highest level of P r , lowest and medium levels of ω , and increases with higher levels of R e .