Study of Stokes Flow Past a Vertical Plate in a Two-Dimensional Channel
Creators
- 1. Chonnam National University, Gwangju (Korea, Republic of)
Description
A two-dimensional Stokes flow past a vertical plate in a channel is analyzed. The vertical plate is located at the center of the channel, and plane Poiseuille flow exists far upstream and downstream of the vertical plate. The Stokes approximation is used, and the flow is investigated analytically using the method of eigenfunction expansion and the point collocation method. From the analysis, the stream function and pressure distribution are obtained, and the pressure and shear stress distributions on the plate and channel wall are calculated. The additional pressure drop induced by the vertical plate and the force exerted on it are calculated as functions of the length of the vertical plate. For a typical length of the vertical plate, the streamline pattern and pressure distribution are shown. In addition, numerical analysis of laminar flow with a small Reynolds number is carried out to analyze the effect of a small Reynolds number on the flow pattern
Additional details
Publishing Information
- Journal Title
- Transactions of the Korean Society of Mechanical Engineers. B
- Journal Volume
- 35
- Journal Issue
- 6
- Series
- 15 refs, 8 figs
- Journal Page Range
- p. 609-615
- ISSN
- 1226-4881
INIS
- Country of Publication
- Korea, Republic of
- Country of Input or Organization
- Korea, Republic of
- INIS RN
- 43121429
- Subject category
- S42: ENGINEERING;
- Descriptors DEI
- COMPUTER CALCULATIONS; EIGENFUNCTIONS; NUMERICAL ANALYSIS; PLATES; PRESSURE DROP; REYNOLDS NUMBER; STRESSES
- Descriptors DEC
- DIMENSIONLESS NUMBERS; FUNCTIONS; MATHEMATICS