## 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.

### MSC:

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

### Keywords:

similarity solutions; transpiration; nonuniqueness; stability
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### References:

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