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The time, t, it takes to pour a certain volume of liquidfrom a cylindrical container

Fundamentals of Fluid Mechanics | 8th Edition | ISBN: 9781119080701 | Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein ISBN: 9781119080701 456

Solution for problem 7.42 Chapter 7.7

Fundamentals of Fluid Mechanics | 8th Edition

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Fundamentals of Fluid Mechanics | 8th Edition | ISBN: 9781119080701 | Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Fundamentals of Fluid Mechanics | 8th Edition

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Problem 7.42

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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Chapter 7.7, Problem 7.42 is Solved
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Textbook: Fundamentals of Fluid Mechanics
Edition: 8
Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
ISBN: 9781119080701

Since the solution to 7.42 from 7.7 chapter was answered, more than 251 students have viewed the full step-by-step answer. Fundamentals of Fluid Mechanics was written by and is associated to the ISBN: 9781119080701. This full solution covers the following key subjects: . This expansive textbook survival guide covers 112 chapters, and 1357 solutions. The full step-by-step solution to problem: 7.42 from chapter: 7.7 was answered by , our top Science solution expert on 03/16/18, 03:21PM. This textbook survival guide was created for the textbook: Fundamentals of Fluid Mechanics, edition: 8. The answer to “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” is broken down into a number of easy to follow steps, and 154 words.

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The time, t, it takes to pour a certain volume of liquidfrom a cylindrical container