HAM Solution of an Unsteady Three Dimensional Navier-Stokes Equations of Flow between Two Parallel Disks

Journal of Applied & Computational Mathematics

article

Selvarani S¹  Nithyadevi N¹ 

[1] Department of Mathematics, Bharathiar University

关键词: 3D Navier-Stokes equation;    Homotopy analysis method;    Convergence;    System of nonlinear differential equations;   

DOI  :  10.4172/2168-9679.1000256

来源: Hilaris Publisher

【 摘 要 】

Purpose: The paper aims to find an analytic solution of an unsteady three dimensional Navier-Stokes equations of flow between two parallel disks by using von Karman type similarity transformation. Methodology: In this paper, the Homotopy Analysis Method (HAM) with the value of unknown convergence control parameter has been used to derive accurate analytic solution for an unsteady three dimensional Navier- Stokes equations of flow between two parallel disks. The possible optimal value of the convergence control parameter determined by increasing the order of HAM. Findings: The results obtained from HAM are compared with numerical results. The result shows that this method gives an analytic solution with high order of accuracy with a few iterations.

【 授权许可】

Unknown