%0 Journal Article %A Shahmohamadi, Hamed %A Mohammadpour, Mahdi %D 2014 %T A series solution for three-dimensional Navier-Stokes equations of flow near an infinite rotating disk %U https://repository.lboro.ac.uk/articles/journal_contribution/A_series_solution_for_three-dimensional_Navier-Stokes_equations_of_flow_near_an_infinite_rotating_disk/9563801 %2 https://repository.lboro.ac.uk/ndownloader/files/17196128 %K Homotopy analysis method %K Padé Approximant %K Navier-Stokes equations %K Rotating disk %K Mechanical Engineering not elsewhere classified %X In this paper, homotopy analysis method (HAM) and Padé approximant will be considered for finding analytical solution of three-dimensional viscous flow near an infinite rotating disk which is a well-known classical problem in fluid mechanics. The solution is compared to the numerical (fourth-order Runge-Kutta) solution and the convergence of the obtained series solution is carefully analyzed. The results illustrate that HAM-Padé is an appropriate method in solving the systems of nonlinear equations. %I Loughborough University