Jeffery-Hamel Flow of Nano Fluid Influenced by Wall Slip Conditions

Jeffery-Hamel flow of Nano fluid type inside a convergent wedge (inclined walls) with wall friction is investigated analytically and numerically. As a result of the similarity relations, one nonlinear ordinary differential equation is obtained and solved analytically with the appropriate assumptions f(2) approximate to +/- f, 0 < theta <= 20 degrees. In addition, another numerical solution was obtained without relying on the previous assumptions. Moreover, excellent agreement was found between the obtained analytic, numerical and literature solutions for small semi wedge angles and/or small Reynolds numbers. Additionally, it was found that the normalized velocity (f) decreases gradually with the tangential direction progress. Also, friction coefficient (m) or wedge semi angle increase leads to normalized velocity profile values decrease. Although Reynolds (Re) number increasing causes the normalized velocity function values to increase. Finally, it was found that for specific extreme parameters choice of Reynolds number and/or wedge semi angle, the normalized velocity behavior based on the analytic solution is not suitable for solution.