Document Type
Thesis
Date of Award
1-31-1983
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Rong-Yaw Chen
Second Advisor
Hans E. Pawel
Third Advisor
Jui Sheng Hsieh
Abstract
A finite element method for solving the entrance flow in a parallel-plate channal at low Reynolds number has been studied. Two methods of formulation for both incompressible viscous and inviscid fluid flows were developed. The first uses stream function and potential function as field variables while the second uses velocity and pressure. Both formulations presented here ultilized variational principle and weighted residual method. The numerical example was solved by constrained variational principle with penalty functions in conjunction with the Newton-Raphson method. A 9-node quadratic quadrilateral element was used in this example. Numerical results for entrance flow problem were obtained for Reynolds numbers of 4, 10, 20 and 40. 'The result showed that the velocity profiles have a maximum velocity between the centerline and the wall due to the inclusion the axial diffusive term. Comparision of entrance lengths with other work showed that the present analysis for creeping flow were reasonable for Reynolds number less than 20.
Recommended Citation
Lee, Kuan-Tzong, "Numerical solution of Navier-Stokes equation by finite element method" (1983). Theses. 3559.
https://digitalcommons.njit.edu/theses/3559
