The pressure loss 4p along a pipe is known to depend on the pipe diameter D, the length of the pipe L, the wall roughness k, the flow velocity V and the fluid density p and viscosity μ. (a) Using the Buckingham Pi theorem, show that the pressure loss is given by: Lk 4p pvz 1 = fn ( D² D² DVD) μ (b) In an experiment, water flows through a pipe with a 20 mm diameter at a velocity of 0.1 m/s. The pressure drop is measured as 8 N/m² per metre length of pipe. Determine the corresponding velocity for the flow of air in a pipe with a 10 mm diameter, under dynamically similar conditions. (c) Determine the corresponding pressure drop per metre length of pipe, for the air flow. The following values can be assumed: Water: Air: p = 1000 kg/m³ p=1.2 kg/m³ μ = 1 x 10³ kg/m s μ= 1.98 x 105 kg/m s

The pressure loss 4p along a pipe is known to depend on the pipe diameter D, the length of the pipe L, the wall roughness k, the flow velocity V and the fluid density p and viscosity μ. (a) Using the Buckingham Pi theorem, show that the pressure loss is given by: Lk 4p pvz 1 = fn ( D² D² DVD) μ (b) In an experiment, water flows through a pipe with a 20 mm diameter at a velocity of 0.1 m/s. The pressure drop is measured as 8 N/m² per metre length of pipe. Determine the corresponding velocity for the flow of air in a pipe with a 10 mm diameter, under dynamically similar conditions. (c) Determine the corresponding pressure drop per metre length of pipe, for the air flow. The following values can be assumed: Water: Air: p = 1000 kg/m³ p=1.2 kg/m³ μ = 1 x 10³ kg/m s μ= 1.98 x 105 kg/m s

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

When a clean glass tube with a diameter of 2 mm is immersed in water at 20 ° C, how many mm will the capillary rise occur in the glass tube? For water at 20 ° C, surface tension is given as 0.073 N / m, density 1000 kg / m3, contact angle 0 ° C and gravitational acceleration 10 m / s2.
A steel ball with the density of 6229 kg/m and the radius of 0,65 cm was dropped into the oil whose viscosity was to be measured as isseen in the figure. When the ball attains a constant velocity, the distance that the ball travelled was measured as 99 cm within the time interval of 4,7 sec. Before the experiment, the mass of the 100 ml-oil was measured as 2,1 gr. According to the data given above, find; a) the density of the oil (in kg/m ). (Please do not use any decimal digit.) b) the speed of the steel ball after the ball attains a constant velocity (in m/s). (Please use 4 decimal digits.) c) the dynamic viscosity of the oil (in Pa.s) (Please use 3 decimal digits.) d) the flow Reynolds number. (Please use 4 decimal digits.) Please solve this question step by step to reach correct answers. correct answers: a) 21 b) 0,2106 c) 2,715 d) 0,0212
The volume flow in a water pipe is 9000 m°/h. The pipe length is 80 m, the pipe diameter 1 m. The material data of water are a density of 1000 kg/m? and kinematic viscosity v=10® m7s. A steel pipe with roughness 0.05 mm is used. Determine the pressure drop in the pipe.
An incompressible fluid flows through a pipe without significant viscosity. It has a density of 124 kg per cubic meter. In a section of pipe with a 2.8 cm radius the fluid moves at a speed of 13 m/s, and has a pressure of 103,763 pascals. It flows into a section of pipe with a 3.87cm radius that is 5 meters higher than the first section. What the pressure in the second section of pascals?
Resistance R to the motion of a completely submerged body is given by R = ρV2 L2 φ , where ρ and ν are density and kinematic viscosity of the fluid while L is the length of the body and V is the velocity of flow. If resistance of a one-sixth scale airship model when tested in water at 10 m/s is 230 N, what will be the resistance in air of the airship at the corresponding speed? Kinematic viscosity of air is 13 times that of water and density of water is 810 times of air.
Fluid mechanics, I need solutions in 15 minutes please. MCQ/Determine 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. A-Fx = 257.430 kN and Fy = 59.801 kN B-Fx = 164.018 KN and Fy = 37.229 KN C-Fx = 269.894 kN and Fy = 65.526 KN D-Fx = 98.182 kN and Fy = 20.002 KN E-Fx = 234.789 kN and Fy = 52.418 kN F-Fx = 187.005 kN and Fy = 42.182 KN G-Fx = 119.956 kN and Fy = 25.550 KN H-Fx = 141.327 kN and Fy = 31.171 KN I-Fx = 288.147 kN and Fy = 69.098 KN J-Fx = 213.112 kN and Fy = 47.903 KN
Water is flowing at 0.075 cu.m./sec through a glazed porcelain pipe 400m long and 200mm diameter. The pipe roughness is 0.0015mm. Properties of water: Density: 1,000 g/cu.m., viscosity = 0.001 N-m/sec. What is the velocity of water in the pipe? What is the Reynold's number? Steady State flow exists in pipe that undergoes a gradual expansion from a diameter of 6in. Assuming constant density and the inlet flow velocity is 22.4 ft/sec. What is the size of the exit pipe if the exist flow velocity is 12.6 ft/sec?
A plate moving 10 cm/s to the right is 0.5 cm above a stagnant wall. The fluid between the plate and the wall has a viscosity of 1.8 cp. Determine the shear stress in the fluid.
A skater weighing 500 N skates at 10 m/s and is supported by an averageskating area of 10 cm2. If the viscosity of water is 1 centipoise and the coefficient of friction between skates and ice is 0.02, then find the thickness of the thin film of water existing between the skates and the ice.
In a cavitation system, it usually occurs in the hydraulic element called the pump. In the presented system, it is desired to determine the maximum height H, for which there is no cavitation, and with this condition, determine the different parameters. For this, it is known that the system moves water at a flow rate of 0.056m³/s at a temperature of 40°C. The energy loss between the suction pipe inlet and the pump is 2.0 N-m/N and between the pump outlet and the upper vessel is 3.8 N-m/N. Both ducts are 6" 40-gauge steel. The vapor pressure of water at 40°C is 0.078 kgf/cm² (abs). The specific weight of water is 9.76 kN/m³. Determine a) The height H for the limit condition of no cavitation of the pump b) the energy per unit of weight provided by the pump to the fluid c) the pressure at the pump outlet d) the power transmitted by the pump to the fluid hydraulic power
If a stream flowing at velocity U past a body of lengthL causes a force F on the body that depends only on U , L ,and fluid viscosity μ , then F must be proportional to(a) ρUL/μ, (b) ρU2L2, (c) μU/L, (d) μUL, (e) UL/μ
Oil (dynamic viscosity) between a block of mass M (5 kg) and the substrate(μ = 1.6 Pa.s), oil film thickness (h = 0.7 mm)). Block base surfaceIts area is given as A = 28 cm2. Block m (1kg weight) with a wire ropeIt depends on the mass. At time t = 0, mass m is released. According to these data;a) Find the viscous forces when the block moves with V = 1 m / s velocity.b) Derive an equation for the block velocity as a function of time (t).c) Plot the velocity-time variation for t = 0 and t = t.