Problem 5 (15 pts) An example heat exchanger is shown in the figure below (a) wh

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Problem 5 (15 pts)

An example heat exchanger is shown in the figure below (a) where in a hot fluid and a cold fluid flow in opposite directions. In order to analyze the performance of this heat exchanger, it is important to understand the flow in a duct with a cross section in the shape of an equilateral triangle. This can be done by looking at the coordinate system shown below in (b).

Verify that the velocity distribution for flow in this duct is given by:

when assuming the flow is laminar and the fluid is Newtonian (L represents the length in the z-direction)

An example heat exchanger is shown in the figure below (a) where in a hot fluid and a cold fluid flow in opposite directions. In order to analyze the performance of this heat exchanger, it is important to understand the flow in a duct with a cross section in the shape of an equilateral triangle. This can be done by looking at the coordinate system shown below in (b). vz = (p0 - pL)/4 mu LH (y - H)(3x2 - y2) when assuming the flow is laminar and the fluid is Newtonian (L represents the length in the z-direction)

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