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Stagnation-point flow of upper-convected maxwell fluids
, Article International Journal of Non-Linear Mechanics ; Volume 41, Issue 10 , 2006 , Pages 1242-1247 ; 00207462 (ISSN) ; Hajibeygi, H ; Taghavi, M ; Sharif University of Technology
2006
Abstract
Two-dimensional stagnation-point flow of viscoelastic fluids is studied theoretically assuming that the fluid obeys the upper-convected Maxwell (UCM) model. Boundary-layer theory is used to simplify the equations of motion which are further reduced to a single non-linear third-order ODE using the concept of stream function coupled with the technique of the similarity solution. The equation so obtained was solved using Chebyshev pseudo-spectral collocation-point method. Based on the results obtained in the present work, it is concluded that the well-established but controversial prediction that in stagnation-point flows of viscoelastic fluids the velocity inside the boundary layer may exceed...