Question: Consider incompressible flow between two parallel plates. The flow is driven by the bottom plate moving to the right with a velocity of 100 (mathrm{m}

Consider incompressible flow between two parallel plates. The flow is driven by the bottom plate moving to the right with a velocity of 100 $\mathrm{m} / \mathrm{s}$. The viscosity of the fluid is given by $0.001 \mathrm{~Pa} \cdot \mathrm{s}$ and the thermal conductivity is $0.6 \frac{\mathrm{W}}{\mathrm{mK}}$. If both the bottom and the top temperatures are fixed at $0^{\circ} \mathrm{C}$, what is the maximum temperature of the flow? You may assume the flow is in a steady-state and is only in the $x$-direction. In addition, you may ignore any pressure gradient as well as any heat generation. How is the maximum temperature of the flow different than the plate temperatures? What accounts for the difference?

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