When a capillary tube of small diameter D is inserted into

Chapter 7, Problem 116P

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Problem 116PWhen a capillary tube of small diameter D is inserted into a container of liquid, the liquid rises to height h inside the tube (Fig. P7-119). h is a function of liquid densityρ, tube diameter D, gravitational constant g, contact angle ϕ. and the surface tension σs of the liquid, (a) Generate a dimensionless relationship for h as a function of the given parameters. (b) Compare your result to the exact analytical equation for h given in Chap. 2. Are your dimensional analysis results consistent with the exact equation? Discuss.

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