Oblique stagnation point flow of micropolar nanofluid impinge along a vertical surface via modified Chebyshev collocation method

This article contains a study of mixed convection in micropolar nanofluid near an oblique stagnation point in the presence of a magnetic field. Similarity transformations are used to convert governing partial differential equations to non-linear ordinary differential equations. Modified Chebyshev collocation method in computational software Maple is used for the solution of governing nonlinear differential equations. A comparison of numerical results obtained by modified Chebyshev collocation method and finite difference method is made to show the accuracy of the method. Graphical results for velocity components, microrotation, temperature, and flow patterns are part of this study. Numerical values for free parameter (A), skin friction, and Nusselt numbers for different parameters are also calculated. It is found that microrotation profiles are enhanced by increasing the effect of stretching while decline with enhancing angle of strike gamma. Also, the temperature of micropolar nanofluid is increased by increasing the value of the magnetic parameter and micropolar coefficient. The temperature gradient of nanofluid shows a decline when values of stretching parameter and the angle of the strike are increased.

Automated summary

This article presents a study on mixed convection in the presence of a magnetic field near an oblique stagnation point in micropolar nanofluid. Similarity transformations are used to convert the governing partial differential equations into non-linear ordinary differential equations, which are then solved using the modified Chebyshev collocation method. The accuracy of the method is demonstrated by comparing the numerical results with those obtained using the finite difference method. The study provides graphical results for velocity components, microrotation, temperature, and flow patterns, and calculates numerical values for various parameters such as the free parameter, skin friction, and Nusselt numbers. The findings reveal that the microrotation profiles are influenced by the stretching effect and the angle of strike, while the temperature of the micropolar nanofluid is affected by the magnetic parameter and micropolar coefficient. The temperature gradient of the nanofluid decreases with increasing values of the stretching parameter and the angle of strike.