Consider the steady, laminar, fully developed, two-

Chapter 7, Problem 95P

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Problem 95P

Consider the steady, laminar, fully developed, two- dimensional Poiseuille flow of Prob. 7-97. The maximum velocity umax occurs at the center of the channel, (a) Generate a dimensionless relationship for umax as a function of distance between plates h, pressure gradient dP/dx, and fluid viscosity μ. (b) If the plate separation distance h is doubled, all else being equal, by what factor will umax change? (c) If the pressure gradient dP/dx is doubled, all else being equal, by what factor will umax change? (d) How many experiments are required to describe the complete relationship between umax and the other parameters in the problem?

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