This preview shows page 1. Sign up to view the full content.
Unformatted text preview: y , the velocity potential is ( x, y ) = U y + e x/ cos( y/ ) = + f ( x ) where f ( x ) is a function of integration. Now, we differentiate with respect to x to evaluate v , wherefore, v = Ue x/ cos( y/ ) df dx Comparing this equation to the value obtained above from v = / y , clearly df dx = 0 = f ( x ) = constant With no loss of generality, we can set the constant equal to zero. Therefore, the stream-function for this flow is ( x, y ) = U y + e x/ cos( y/ ) =...
View Full Document
- Spring '06