TY  - EJOU
AU  - Lu, Lei  
AU  - Duan, Jun-Sheng  
AU  - Fan, Long-Zhen  

TI  - Solution of Two-Dimensional Viscous Flow in a Rectangular Domain by the Modified Decomposition Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 100
IS  - 6
SN  - 1526-1506

AB  - In this paper, the modified decomposition method (MDM) for solving the nonlinear two-dimensional viscous flow equations is presented. This study investigates the problem of laminar, isothermal, incompressible and viscous flow in a rectangular domain bounded by two moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions. We first transform the original two-dimensional viscous flow problem into an equivalent fourth-order boundary value problem (BVP), then solve the problem by the MDM. The figures and tables clearly show high accuracy of the method to solve two-dimensional viscous flow.
KW  - nonlinear differential equation
KW  -  two-dimensional viscous flow
KW  -  modified decomposition method
KW  -  Adomian polynomials

DO  - 10.3970/cmes.2014.100.463