Two parallel uniform streams of different fluids, moving horizontally in the same direction, come into contact at x = 0. The two streams have U ∞,1 and U ∞,2 free-stream velocities. The flow field...

Two parallel uniform streams of different fluids, moving horizontally in the same direction, come into contact at x = 0. The two streams have U_∞,1
and U_∞,2
free-stream velocities. The flow field remains laminar everywhere

Formulate a similarity solution method for the problem (i.e., derive similarity differential equations and all the necessary boundary conditions for both flow fields).