Extend the steady fl ow between a fi xed lower plate and a moving upper plate, from Fig

Chapter 1, Problem p1.57

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Extend the steady fl ow between a fi xed lower plate and a moving upper plate, from Fig. 1.7, to the case of two immiscible liquids between the plates, as in Fig. P1.57. h2 y x h1 1 2 V Fixed(a) Sketch the expected no-slip velocity distribution u ( y )between the plates. ( b ) Find an analytic expression for thevelocity U at the interface between the two liquid layers.( c ) What is the result of ( b ) if the viscosities and layerthicknesses are equal?

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