Summary
The wall-jet problem is considered with, in turn, the effects of blowing and suction through the wall and the wall moving. In both cases it is assumed that the effect has the appropriate power-law variation so as to maintain the similarity form. It is shown that the resulting ordinary differential equation has no acceptable solution satisfying the required boundary conditions. The wall jet problem in which the original momentum condition is retained, but allowing for both transpiration velocity and the wall velocity is derived and it is shown that this implies that a solution is possible only for suction. A solution to this problem is then obtained for the appropriate power-law variations to keep the similarity form.
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Merkin, J.H., Needham, D.J. A note on the wall-jet problem. J Eng Math 20, 21–26 (1986). https://doi.org/10.1007/BF00039320
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DOI: https://doi.org/10.1007/BF00039320