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Problem 1 (15 points): Briefly discuss the simplifications to the Navier-Stokes equations to reduce to Couette flow. What ass
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u=Uw, v=0, w=0, T5 TD> Tb u=0, v=0, w=0, T = Tboru Ou du X-momentum egn.: . ou +u+ ou + at 8x 7 ququ + w oy oz -- 1 p. +v1 pox ox²From X-Momentum eqn.: du 5 = 0 =cu=cy + d, du- d=0,0=U/L TT Bu=Y Velocity profile TAssumptions: 1. Steady condition 2. Laminar flow 3. Constant properties 4. No pressure gradient in the x direction 5. No edge

It is not possible in turbulent flow as turbulent flow does not follow Newtonian fluid properties.

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