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