Discussion
Consider steady incompressible flow over a flat plate, where the dashed line represents the edge of the boundary layer, as shown in the figure. Which one among the following statements is true?
Answer: D
The true statement is Bernoulli’s equation cannot be applied in Region I.
Region I is inside the boundary layer. There viscous stresses are significant and the flow is rotational, so mechanical energy is dissipated along a streamline and the inviscid assumption behind Bernoulli's equation fails. It cannot be used there either between arbitrary points or along a streamline.
Region II, outside the boundary layer, is effectively inviscid and, coming from a uniform stream, irrotational. There Bernoulli's equation holds, and because the flow is irrotational it holds between any two points, not only along one streamline. That rules out the statement that it cannot be applied in Region II, and both statements claiming it can be applied in Region I.
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