Document Type
Thesis
Date of Award
5-31-1984
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Rong-Yaw Chen
Second Advisor
Sachio Nakamura
Third Advisor
Jui Sheng Hsieh
Abstract
Steady flow with an incompressible non-viscous fluid in a two-dimensional channel with an abrupt change in the width of its flow passage has been studied with a finite element method and a complex potential method.
The flow problem was solved with the use of an existing finite element program, FLOW2, in terms of the velocity potential and the stream function. The general procedure of solving problem by finite element method and the user's guide of FLOW2 program are presented in this thesis.
A computer program, EXACT, has been written for the exact solution based on the complex potential method to alleviate the tedious calculations of complex numbers. With the EXACT program an input of values for velocity potential and stream function will give its corresponding coordinates, x,y and velocity components, u,v.
The finite element method employed four types of elements: (1) 4-noded rectangular element, (2) 6-noded triangular element, (3) 8-noded rectangular element, and (4) 9-noded rectangular element. Comparison of the results between the exact solution and the finite element method with four types of element has shown that the error decreases with increasing number of nodes in the flow region and also decreases with increasing number of node per element.
Recommended Citation
Yu, Ching-Fu, "Flow in a channel with an abrupt change in area : finite element method" (1984). Theses. 3625.
https://digitalcommons.njit.edu/theses/3625
