TY - JOUR
T1 - VARIATIONAL FINITE ELEMENT METHOD FOR SOLVING UNSTEADY VISCOUS-FLOW PROBLEMS.
AU - Badr, H. M.
AU - Base, T. E.
PY - 1978
Y1 - 1978
N2 - The effects of a two-dimensional 'real' vortex convected along by an incompressible free stream impinging on a flat plate of finite length, situated midway between two parallel sides of a channel and near to the entrance of the channel, were studied analytically using the variational approach. Of particular interest were the effects of the free stream vorticity on the behavior of the viscous layer developed on the plate. In the solution, the vorticity (Helmholtz) and stream function (Poisson) equations were integrated in space, using the finite element method and a weighted-average marching scheme in the direction of time. Results have been compiled for the variation of the pressure and shear along the plate with time and for the variation of lift, drag forces, and pitching moment about the leading edge of the plate.
AB - The effects of a two-dimensional 'real' vortex convected along by an incompressible free stream impinging on a flat plate of finite length, situated midway between two parallel sides of a channel and near to the entrance of the channel, were studied analytically using the variational approach. Of particular interest were the effects of the free stream vorticity on the behavior of the viscous layer developed on the plate. In the solution, the vorticity (Helmholtz) and stream function (Poisson) equations were integrated in space, using the finite element method and a weighted-average marching scheme in the direction of time. Results have been compiled for the variation of the pressure and shear along the plate with time and for the variation of lift, drag forces, and pitching moment about the leading edge of the plate.
UR - http://www.scopus.com/inward/record.url?scp=0018059645&partnerID=8YFLogxK
U2 - 10.1139/tcsme-1978-0006
DO - 10.1139/tcsme-1978-0006
M3 - Article
AN - SCOPUS:0018059645
SN - 0315-8977
VL - 5
SP - 39
EP - 45
JO - Transactions of the Canadian Society for Mechanical Engineering
JF - Transactions of the Canadian Society for Mechanical Engineering
IS - 1
ER -