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SOLVED:Obtain the stream function corresponding to the two-dimensional stagnation point flow given in Equations (6-434) and (6-435). Show that this stream function satisfies the biharmonic Equation (6-74) We again consider the thinning of a passive layer by the stagnation point flow. This passive layer initially occupies the region -δ0 / 2 ≤y ≤δ0 / 2. The deformation of this layer is uniform in x direction and the change of the layer thickness δwith time is given by (1)/(2) (d δ)/(d t)=v(δ)=-ε̇
SOLVED:Obtain the stream function corresponding to the two-dimensional stagnation point flow given in Equations (6-434) and (6-435). Show that this stream function satisfies the biharmonic Equation (6-74) We again consider the thinning of a passive layer by the stagnation point flow. This passive layer initially occupies the region -δ0 / 2 ≤y ≤δ0 / 2. The deformation of this layer is uniform in x direction and the change of the layer thickness δwith time is given by (1)/(2) (d δ)/(d t)=v(δ)=-ε̇
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