Consider a fully developed laminar flow of an incompressible Newtonian fluid between two infinite parallel plates, separated by a distance of 2B. The z coordinate is the direction of the flow. The width of the plates is 2W (direction y). The coordinate axis is located half of the 2 plates.
a) Obtain the distribution of speeds in steady state.
b) Obtain the expression for the maximum velocity and write the velocity distribution of part a) as a function of the maximum velocity.
c) Calculate the average velocity <vz> and get the expression that relates it to the maximum velocity.
d) Obtain the expression for the volumetric flow
e) Obtain the expression for the friction factor in terms of the Reynolds number. Consider that the characteristic length is the space between the plates (2B).
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Please attempt the FULL QUESTION
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Please attempt the FULL QUESTION
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