The similarity transform for the steady three-dimensional problem of a condensation film
on an inclined rotating disk gives a system of nonlinear ordinary differential equations
which are analytically solved by applying a newly developed method namely the homotopy
analysis method (HAM). The analytic solutions of the system of nonlinear ordinary
differential equations are constructed in the series form. The convergence of the obtained
series solutions is carefully analyzed. The velocity and temperature profiles are shown
and the influence of the Prandtl number on the heat transfer and the Nusselt number is
discussed in detail. The validity of our results is verified by numerical results.
کلید واژگان :
Homotopy analysis method System of nonlinear ordinary differential equations Convergence Rotating disk Film thickness
