Two circular plane discs of radius R2 have their axes vertical and in line. They are separated by an oil film of uniform thickness. The oil is supplied continuously at a pressure pi to a well of radius R1 placed centrally in the lower disc, from where it flows radially outwards and escapes to atmosphere. The depth of the well is large compared with the clearance between the discs. Show that the total force tending to lift the upper disc is given by, ap1(R3 – R?) 2 In(R2/R1) and determine the clearance when the dynamic viscosity of the oil is 0.008 Pa s, the flow 0.85 L s, pi = 550 kPa, R1 12.5 mm and R2 = 50 mm. Assume laminar flow and neglect end effects.
Two circular plane discs of radius R2 have their axes vertical and in line. They are separated by an oil film of uniform thickness. The oil is supplied continuously at a pressure pi to a well of radius R1 placed centrally in the lower disc, from where it flows radially outwards and escapes to atmosphere. The depth of the well is large compared with the clearance between the discs. Show that the total force tending to lift the upper disc is given by, ap1(R3 – R?) 2 In(R2/R1) and determine the clearance when the dynamic viscosity of the oil is 0.008 Pa s, the flow 0.85 L s, pi = 550 kPa, R1 12.5 mm and R2 = 50 mm. Assume laminar flow and neglect end effects.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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