1.4 The resistance R to a falling spherical body through a fluid is a function of its velocity and the viscosity of the fluid. If the diameter of the sphere is d, find a relationship by dimensional...

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Extracted text: 1.4 The resistance R to a falling spherical body through a fluid is a function of its velocity and the viscosity of the fluid. If the diameter of the sphere is d, find a relationship by dimensional analysis. Ans. (R = Kuru) 1.5 The power generated by a pump PE is a function of the volumetric flow rate Q, the height of liquid column (liquid head) h and the density of the liquid p. Apply dimensional analysis to derive a relationship. Ans. (PE = KQ pgh) 1.6 If the height of the liquid in a capillary tube h is a function to the radius r, the surface tension o, the density of the liquid p and to the gravity acceleration g, find a relationship by dimensional analysis. Ans. h = K (a/ pgr)