Problem 5 A square tube is open to air at atmospheric pressure on the top and capped with a porous membrane on the bottom. The tube cross section is L = 1 cm by L = 1 cm. The porous membrane contains 100 vertically oriented cylindrical pores of diameter d = 0.1 mm. Surface tension holds a column of water (o = 0.072 N/m) from falling through the membrane. The contact angle of water with the tube is 20°. The contact angle of water with the membrane pore walls is 180° (as shown) just before the water column spills through the membrane. The membrane is 0.01 mm thick, over which there is negligible hydrostatic pressure difference. a) Estimate the vertical capillary force by the tube on the water column. b) Estimate the vertical capillary force by a single membrane pore on the water column. c) Estimate the maximum water column height that the system can hold up.

Problem 5 A square tube is open to air at atmospheric pressure on the top and capped with a porous membrane on the bottom. The tube cross section is L = 1 cm by L = 1 cm. The porous membrane contains 100 vertically oriented cylindrical pores of diameter d = 0.1 mm. Surface tension holds a column of water (o = 0.072 N/m) from falling through the membrane. The contact angle of water with the tube is 20°. The contact angle of water with the membrane pore walls is 180° (as shown) just before the water column spills through the membrane. The membrane is 0.01 mm thick, over which there is negligible hydrostatic pressure difference. a) Estimate the vertical capillary force by the tube on the water column. b) Estimate the vertical capillary force by a single membrane pore on the water column. c) Estimate the maximum water column height that the system can hold up.

Name: Problem 5A square tube is open to air at atmospheric pressure on the
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: Problem 5A square tube is open to air at atmospheric pressure on the top and capped with a porous membraneon the bottom. The tube cross section is L = 1 cm by L = 1 cm. The porous membrane contains100 vertically oriented cylindrical pores of diamete

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

Problem 4 (b) According to the Bernoulli's principle. Explain why the height of water column in tube B is shorter than that of tube A and C and why the heights of water column in tube A and B are equal. (Non-anonymous questionO) * A АВ С C
AIR . P = 7 KPä." 1.5 m OIL HINGE SG = 0.82 A TA 3m The gate shown in the figure is hinged at A and rests on a smooth floor at B. The gate is a square in shape with 3m x 3m in dimension, while it is submerged in oil (SG = 0.82) as shown. The air above the oil surface is under a pressure of 7KP.. If the gate weighs 5 KN, determine the vertical force "T" required to open the gate. (Notes: Hydrostatic force "F" is always perpendicular to the plane surface. Also, the h is the pressure head located at the center of gravity of the object, which means, what will be the height of the oil if I am going to convert the pressure at the top into oil) (A) 178.52 KN B 184.60 KN c) 202.66 KN (D) 196.36 KN (E) No answer among the choices GATE 3m
When greater precision is required for pressure measurements, a device called micromanometer is used as shown in the figure. Suppose that an initial static equilibrium, the micromanometer has x = 1.22 m and y = 1.36 m. If the pressure at pt. A is increased by 5 KPa, to what height will the fluid in the 1 cm. diameter tube rise? I cm.o X-1. 22 m 0.1 cm. 6 4= 1:36m. to com sp.gr.=0.g
An enclosed cubic tank of side length 2 m is filled with water through a vertical stand- pipe of 50 mm diameter and 5 m height above the top of the tank. Water is poured slowly into the pipe until it overflows from the top of the pipe. What is the hydrostatic force exerted on the base of the tank? In order to avoid failure of the tank, it is suggested that the pipe diameter could be reduced to 25 mm. What would the loading be under these circumstances?
Note: Please state what formula you are using. And please be clear and detailed with your solution. Atleast explain. It will help me, thanks. Problem: A Triangular gate having a horizontal base of 1.30 m and an altitude of 2 m is inclined 45o from the vertical with vertex pointing upward. The base of the gate is 2.70 m below the surface of oil (s = 0.80). What normal force must be applied at the vertex of the gate to open it? Show figure
Detemine the horizontal and vertical components of the liquid pressure acting on the semicylindrical gate ABC, as shown in the figure. The width into the paper is 1 m. 1 m Liquid (s.g. = 0.88) 4 m B 4.2 m 1 m Fx=164.018 kN and Fy=37.229 kN O Fx=141.327 kN and Fy=31.171 kN Fx=257.430 kN and Fy=59.801 kN Fx=288.147 kN and Fy=69.098 kN Fx=213.112 kN and Fy=47.903 kN Fx-187.005 kN and Fy=42.182 kN Fx=234.789 kN and Fy=52.418 kN Fx=98.182 kN and Fy-20.002 kNO Fx-119.956 kN and Fy-25.550 kN Fx=269.894 kN and Fy-65.526 kN O
Example 6 • A 4-m-long quarter-circular gate of radius 3 m and of negligible weight is hinged about its upper edge A, as shown in the Fig. The gate A 3 m controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum Spring spring force required to keep the gate closed when the water level rises to A at the upper edge of the gate. 64 DI
A two concentric glass tube having an inner radius of 2mm and an angle of contact 130o . If the liquid is mercury with a 0.0662N/m surface tension and has a capillary fall of 0.5m. Find the outside radius of the concentric glass tube
Ex. 3. Determine the angle of the in- clined tube shown in figure if the pres- sure at A is 7 kPa greater than that at = 23.86°) B. (Ans. 0 = 0.3 m 0.5 m Oil Water 3 m Air B
The strength per meter of the longitudinal joint in the figure is 480 kN, whereas or the girth joint is 200 kN. Determine the maximum diameter of the cylindrical tank if the internal pressure is 1.5 MPa.
Find the height of the mercury in the U-tube (SGng = 13.6). |Patm= 100Kpa P=130 KPa gas [h=?
fluid is prevented from moving to the top of the tank. Use unit weight of water = 9.79 kN/m³. (a) Determine the pressure pA in kPa, (b) the value of h in small open cylindrical tank containing cleaning fluid (s.g. = 0.8) at a height h. The pressure PB = 13.4 kPa gage and pc = 13.42 kPa gage. Assume the cleaning Problem 2- 52 lindrical tank contains water at a height of 55 mm, as shown. Inside is a %3D %3D and (c) the value of y in millimeters. mm, Ans: (a) 12.88; (b) 10.2; (c) 101 PA Air Water 55 mm Kerosene HD PB Pc Mercury (s.g. = 13.6)