Title :
Applying Fourth Order Partial Differential Equation to Steady Incompressible Flow
Author :
Zhu, Shijiang ; Li, Chenyang
Author_Institution :
Sch. of Water Conservancy & Civil Eng., Northeast Agric. Univ., Harbin, China
Abstract :
According to steady 2D laminar stream-function vorticity equations, the fourth order partial differential equation was derived. As a governing equation, it was applied to cavity flow and sudden expansion flow. The results of computing tally with related references. It was proved that the fourth order partial differential equation is suitable for the flows and can be used to solve more complex flow.
Keywords :
compressible flow; laminar flow; partial differential equations; vortices; 2D laminar stream-function vorticity equations; cavity flow; expansion flow; fourth order partial differential equation; governing equation; steady incompressible flow; Boundary conditions; Civil engineering; Computational modeling; Differential equations; Hydrodynamics; Mathematical model; Navier-Stokes equations; Partial differential equations; Water conservation;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5363683
