Air flows steadily through a convergingdiverging rectangularchannel of constant width as

Chapter 3, Problem 3.85

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Air flows steadily through a convergingdiverging rectangularchannel of constant width as shown in Fig. 3.85 and VideoV3.10. The height of the channel at the exit and the exit velocityare H0 and V0 respectively. The channel is to be shaped so that thedistance, d, that water is drawn up into tubes attached to static pressuretaps along the channel wall is linear with distance along thechannel. That is d = (dmax/L) x, where L is the channel length anddmax is the maximum water depth (at the minimum channel height:x = L). Determine the height, H(x), as a function of x and the otherimportant parameters.