O For the horizontal laminar internal flow through a pipe of diameter (d), if the velocity profile u(r) %3D 4u dl d Ir2-r21 and the wall shear stress is r, =pV². Prove that the friction faction %3D | of the flow must be: f 64 %3D Re

O For the horizontal laminar internal flow through a pipe of diameter (d), if the velocity profile u(r) %3D 4u dl d Ir2-r21 and the wall shear stress is r, =pV². Prove that the friction faction %3D | of the flow must be: f 64 %3D Re

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

Related questions

Q: For the horizontal laminar internal flow through a pipe of diameter (d), if the veloci -1 dP (r)%3D…

Q: A) Figure (2) shows the velocity distribution for flow of water between two parallel plates.…

Q: The turbulent velocity profile in the pipe is given by the equation, ... Shear velocity 0,69 m/s,…

Q: The above pipe is exchanged for a parallel pipe with a cross sectional area of 0.3 m2 and is 20 m…

Q: Q2: What would be the discharge of liquid (u = 1.48x 10-6 m2/sec, s = 0.89) through a smooth pipe of…

Q: A 200 kg chunk of lead falls from a height of 30 m and smashes into a rigid concrete floor.…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Calculate the horizontal force acting on the conical part of the pipe! $50 mm = 3.5 m' / min O 200mm…

Q: 4 A pipe carrying 200m³/h of water changes diameter from 0.2m to 0.15m through a sudden contraction.…

Q: -. Calculate h, (loss head) in a pipe through the water is flowing...

A: V=3 m/sd=250mm=0.250ml=100 mk=0.4ζ=6ρ=100 kg/m3ν=1*10-6 m2/s

Q: Q3) How many meters of pressure drop will there be in 1 m length in a horizontal pipe with a…

A: find the pressure drop in 1 m length.

Q: Q5/ Oil flows in a 0.3 (m) diameter pipe with a flow velocity of 2.7 (m/s). The physical properties…

A: As per given question we have determine 1- The value of Reynold's Number Re and Mention the Type of…

Q: Calculate the dynamic force of the water on the fork, referring to a horizontal plane

Q: 2. The pressure drop needed to force water through a horizontal 2.5 cmdiameter pipe is 4kPa, for…

A: Shear stress variation is linear from center axis of the pipe,

Q: Water is flowing through a pipe of diameter 200 mm with a velocity of 3 m/s. Find the to friction…

A: Given:diameter of pipe=200 mmd=0.2 mvelocity, V=3 m/sLength of pipe, L=5 mfriction coefficient,…

Q: Water flows in a pipe at 0.015 m³/s. The pipe is 50 mm bore diameter. The pressure drop is 13 420 Pa…

Q: 3. Sketch the shear stress and velocity distribution for laminar flow across a pipe section.

A: Consider R to be the radius of the pipe. The expression for the velocity from the center of the pipe…

Q: For flowing water at 10°C, what is the magnitude of the velocity gradient needed to produce a shear…

Q: A pipe handles a flow rate Q of 24 gpm. Find the minimum inside diameter D that will provide an…

A: Given: Volume flow rate, Q=24gpmAverage fluid velocity, v=20ft/s

Q: Assume that r = 0.137 m, ro = 0.138 m, µ = 1.49 kg/m-s (glycerin), p = 1260 kg/m3, and Qj = 120…

Q: The water level in an open water tank is located 32 metres above its pipe outlet (H). The piping is…

A: Given:Elevation difference between the open tank level and the pipe outlet, H=32 mLengths of pipe…

Q: Water at 20 deg C flows between two parallel horizontal plates separated by a distance of 8 mm. The…

A: Write the given data. T=20 °Ch=8 mm=0.008 mv=4 m/sτupper=0

Q: Water steadily through a reducing pipe bend. Krown conditions are p1 850 3 kPa atsolute, D1 -25 cm,…

Q: The horizontal V fitting, steady, uniform flow at each section, incompressible, and neglect weight…

A: Let us find the velocities at 1 and 2 - Q=A1V1 =A2V20.4=π4201002V1=π481002V2V1=12.73ms, V2=79.577ms…

Q: Jet water in Pipe with chameter equal to Somn to velocity-30 - divided into two branches with…

A: The velocity will remain the same in both the pipes. V=V1=V2 Now,

Q: Water flows through a pipe having an inner radius of 20mm at the rate of 42 kg/hr at 20^OC.…

A: Given data: ◆ The inner radius of pipe: r = 20 mm = 0.02 m Hence, it's inner diameter: d = 40 mm =…

Q: A paint shop in the water flow through the pipe in the radius rQ=0.05 m/s, density p = 1000 kg/ m…

Q: Q8)A duct of 65 cm diameter and 15m long carries 120 m³/min of air. Find the pressure loss in the…

Q: A) Figure (2) shows the velocity distribution for flow of water between two parallel plates.…

Q: The 20 m long pipe between the A and B tank in the figure is made of cast iron and its flow rate is…

A: Given: The length of pipe, L = 20 m The flow rate, Q = 0.002 m^3/s

Q: Water at 20 C flows parallel to a horizontal surface. At a particular point horizontal location, the…

Q: 4- For the Hagen-Poiseuille flow, show that the shear stress at the tube wall (Tw = Tr=R) is 4μQ TER

Q: I need the answer

A: Consider the pump as a reference line and only minor loss will be taken into account.

Q: ( 350 L/min) of oil (r.d -0.9 and u =0.0574 Pa.s )flow through a pipe line 75 mm) in diameter…

A: Discharge, Q= 350 L/min= 3501000(60) m3/s= 0.35060 m3/s Relative density of oil, r.d= 0.9 Density of…

Q: A horizontal pipe carries cooling water at 10°C for a thermal power plant. what is the pressure in…

A: Given data: The average velocity in the pipe can be determined as,

Q: At section 1 Q₁ = 15 ft²³/s P₁= 150 psi Find Fx Neglect Friction 0.5 ft Density (8) pipe = 1.94 Slug…

Q: N.s Q1: An oil with a viscosity of = 0.45- and density p=950 flows in a pipe of m 2 diameter D=…

Q: In the pipeline in the figure, water is transmitted from a-tank to Bdepo with a flow rate of 400L/s…

A: Water flow rate, Q=400 L/s=0.4 m3/s Pipe lengths, L1=20 m, L2=30 m Pipe diameters, D1=0.2m, D2=0.4 m…

Q: Starting from Tw find 1, 1 2 1 3 and proof the following equation f and Re using dimensional…

Q: F- In a circular pipe of diameter 100 mm a fluid of viscosity (7) poise and sp. gr. 1.3 is flowing.…

A: Reynold's number is the ratio of inertia force and viscous force. It is a dimensionless number used…

Question

Transcribed Image Text:) For the horizontal laminar internal flow through a pipe of diameter (d), if the velocity profile u(r). -1 dp r2-r21l and the wall shear stress is r, =pV². Prove that the friction faction 4µ dL %3D %3D of the flow must be: f 64 %3D Re

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

I need the answer as soon as possible
Calculate the available net positive section head NPSH in a pumping system if the liquid density p 1200 kg/m'. The liquid dynamic viscosity u 0.4 Pa.s, the mean velocity a= 1 m/s, the static head on the suction side z = 3m, the inside pipe diameter di, = 0.0526m. the gravitational acceleration g = 9.81 m/s, and the equivalent length on the suction side EL, = 5.0 m. The liquid is at its normal boiling point. Neglect entrance and exit 1 losses.
Water (w = 62.43, w = 23.6 x 10-6 lbs) flows through the 7-in. diameter pipe below with an average velocity of 6 ft/s. Find the change in pressure over 37 ft of pipe. Provide your answer in lb The pipe has roughness of 4x10-¹ ft. D L
What’s the answer for this please ?
Two 32-in pumps from Fig. are to be used in seriesat 1170 r/min to lift water through 500 ft of vertical castiron pipe. What should the pipe diameter be for most effi -cient operation? Neglect minor losses.
For the parallel-pipe system of Fig. each pipe iscast iron, and the pressure drop p1 - p2 = 3 lbf/in2. Computethe total flow rate between 1 and 2 if the fluid is SAE10 oil at 20°C.
The pipe bend of Fig. has D 1 = 27 cm and D 2 =13 cm. When water at 20 ° C fl ows through the pipe at 4000gal/min, p 1 =194 kPa (gage). Compute the torque requiredat point B to hold the bend stationary.
Water flows through a pipe having an inner radius of 20mm at the rate of 42 kg/hr at 20^OC. Viscosity of water is 0.001 kg/ ms. Find reynolds number of the flow?
In a fully developed turbulent flow through a pipe, the shear stress is……… Please fill the blank correctly.
Water flows through a pipe having an inner radius of 20mm at the rate of 42 kg/hr at 20^OC. Viscosity of water is 0.001 kg/ ms. Find reynolds number of the flow?
Could i please have the asnwers and workings out to the attached question.