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.

Name: Two circular plane discs of radius R2 have their axes vertical and in
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: Two circular plane discs of radius R2 have their axes vertical and in line. They are separated by an oil filmof uniform thickness. The oil is supplied continuously at a pressure pi to a well of radius Ri placed centrallyin the lower disc, from where

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

See similar textbooks

Similar questions

two vertical parallel glass plates 0.1 mm apart are partially immersed in water. Considering that the water does not reach the upper edges of the sheets and that the liquid completely wets the glass, determine: a) the height that rises in the flat capillary, b) the attractive force between the plates. Consider the width of the sheet l=12cm and density y=72.8*10^-3 N/m
59. Consider two rectangular tanks having constant flow areas of A1 and A2. Thetanks are connected at the bottom by a frictionless pipe of diameter d. The firsttank is filled with water up to an elevation h0 from the connecting pipe. We nowopen the isolation valve. a) Show that the time for levels to equalize is given by:
When the pressure heads at A and B are 3.0 m and 90.0 m, respectively, pumps AB is communicating a power of 100 HP to the system. What elevation can be maintained in reservoir D?
The water is supplied at a pressure of 15 N/cm? to an accumulator, having a ram of diameter 2.0 m. If the total lift of the ram is 10 m, determine: (a) the capacity of the accumulator, and (b) total weight placed on the ram (including the weight of the ram). [Ans. (a) 4712.4 kNm, (b) 471240 N]
A pump takes water at 60 F from a largereservoir and delivers it to the bottom of anopen elevated tank 25 ft above the reservoirsurface through a 3-in ID pipe. The inlet tothe pump is located 10 ft below the watersurface, and the water level in the tank isconstant at 160 ft above the reservoir surface.The pump delivers 150 gal/min. If the total loss of energy due to friction in the pipingsystem is 35 ft-lb, per 1bm of fluid, calculatethe horsepower required to do the pumping.The pump-motor set has an efficiency of 55%.
Determine the surface tension in a tube with 0.3m radius and wetting angle 80 and capillary rise of 4.5mm in N/m and in lb/ft.
Two identical upright cylindrical tanks contains H2O,the first tank is full and the second is 2/3-full. If theradii of the orifices are the same, compare the time todrain of each tank. answer: √1.5
Piston A has a cross-section of 1,200 cm^2 while that of piston B is 950 cm^2 with the latter higher than piston A by 1.75 m. If the intervening passages are filled with oil (s= 0.8), what is the difference in pressure between A and B?
A horizontal Venturimeter with inlet and throat radius 200 mm and 100 mm respectively is used to measure the flow of oil. The reading of differential manometer connected to the inlet and the throat is 20 cm of mercury. Determine the rate of flow. Take specific gravity of the oil is 0.88 and Cd = 0.98.
The pipe bend shown is in a horizontal plane. Oil with a specific gravity of 0.86 enters the reducing bend at section A with a velocity of 3.2 m/s and a pressure of 150 kPa. Determine(a) Thevelocity(m/s)atsectionB.(b) Thepressure(kPa)atpointB.(c) FP (x-direction),(d) FP (y-direction),(e) The magnitude and direction of FRX of the force required to hold the bend in place.(f) The magnitude and direction of FRY of the force required to hold the bend in place.Forces are to be expressed in Newtons.
A tube with diameter of 0.3cm is inserted into water (Surface tension= 0.061N/m). The water in the tube rises to a height of 0.45cm from the surface. Calculate the contact angle between the water and the tube.
If the rate of rotational speed of the 3-tube system shown is ? = 10 rad/s, determine the water heights in each tube leg. At what rotational speed will the middle tube be completely empty?