The effect of transpiration on self-similar boundary layer flow over moving surfaces. (English) Zbl 1213.76064

Summary: The simultaneous effects of normal transpiration through and tangential movement of a semi-infinite plate on self-similar boundary layer flow beneath a uniform free stream is considered. The flow is therefore governed by a plate velocity parameter \(\lambda \) and a transpiration parameter \(\mu \) and the computed wall shear stress parameter is \(f''(0)\). Dual solutions are found for each value of \(\mu \) in \(\lambda -f''(0)\) parameter space. It is shown that the range of known dual solutions for zero transpiration increases with suction and decreases with blowing. A stability analysis for this self-similar flow reveals that, for each value of \(\mu \), lower solution branches are unstable while upper solution branches are stable.


76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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