The time, t, it takes to pour a certain volume of liquidfrom a cylindrical container
Chapter 7, Problem 7.42(choose chapter or problem)
The time, t, it takes to pour a certain volume of liquidfrom a cylindrical container depends on several factors, includingthe viscosity of the liquid. (See Video V1.3.) Assume that for veryviscous liquids the time it takes to pour out two-thirds of the initialvolume depends on the initial liquid depth, , the cylinder diameter,D, the liquid viscosity, , and the liquid specific weight, . Thedata shown in the following table were obtained in the laboratory.For these tests = 45 mm, D = 67 mm, and = 9.60 kN/m3.(a) Perform a dimensional analysis, and based on the data given,determine if variables used for this problem appear to be correct.Explain how you arrived at your answer. (b) If possible, determinean equation relating the pouring time and viscosity for the cylinderand liquids used in these tests. If it is not possible, indicate whatadditional information is needed. (N s/m2) 11 17 39 61 107t(s) 15 23 53 83 145
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