Please the option Considering flow of an incompressible fluidthrough a long, horizontal section of roundpipe, the pressure drop Ap along the pipe isknown to be dependent on pipe length L,inner pipe diameter D, the height of the wallroughness ɛ, fluid velocity V, fluid density p,and viscosity u.If air flows at a velocity of 4.42 m/s througha pipe of inner diameter of 0.3 m, whatwould be the velocity of water through apipe of inner diameter of 0.03 m if the twoflows are dynamically similar?Air properties: pair = 1.225 kg/m³, µair =1.789 x 10-5 kg/m.sWater properties: pwater = 1000 kg/m³,%3Duwater = 0.001 kg/m.sSelect one:O a. 3.92 m/sO b. 1.98 m/sO c. 3.42 m/sO d. 3.02 m/s

Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Considering flow of an incompressible fluid through a long, horizontal section of round pipe, the pressure drop Ap along the pipe is known to be dependent on pipe length L, inner pipe diameter D, the height of the wall

Considering flow of an incompressible fluid through a long, horizontal section of round pipe, the pressure drop Ap along the pipe is known to be dependent on pipe length L, inner pipe diameter D, the height of the wall

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

Liquid is pushed through the narrow gap formed between two glass plates. Thedistance between the plates is h and the width of the plate is b . Assuming that theflow is laminar, two-dimensional and fully developed, derive a formula for thelongitudinal pressure gradient in terms of the volumetric flow rate, Q, the fluid viscosityand the distances b and h .In an example the above conditions apply with b = 0.10 m and h = 0.00076 m. Theliquid is glycerine that has an absolute viscosity of 0.96 N s/m². A pressure differenceof 192 kN/m² is applied over a distance of 0.24 m. Calculate the maximum velocity thatoccurs in the centre plane of the gap and the mean velocity.Answer 0.06 m/s
The flow rate of water in a garden hose is measured using the bucket-andstopwatch method. Filling a 5-L bucket takes 75 seconds. If the inner diameter of the hose is 10 mm and the density and viscosity of water are approximately 998 kg m-3 and 0.9 cP, respectively, (a) is the flow inside the hose laminar or turbulent? (b) If the flow rate is adjusted such that the flow is with Re = 2100, how long would it take to fill the same bucket?
Under laminar conditions, the volume flow Q through asmall triangular-section pore of side length b and length Lis a function of viscosity μ , pressure drop per unit length∆p / L , and b . Using the pi theorem, rewrite this relation indimensionless form. How does the volume flow change ifthe pore size b is doubled?
An incompressible fluid (kinematic viscosity, 7.4 x10-7 m²/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is rt of this book may be repro
A liquid of density 1150 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.47 m/s and the pipe diameter d1 is 11.7 cm. At Location 2, the pipe diameter d2 is 17.7 cm. At Location 1, the pipe is Ay=8.19 m higher than it is at Location 2. Ignoring viscosity, calculate the difference APbetween the fluid pressure at Location 2 and the fluid pressure at Location 1.
QA An incompressible fluid (kinematic viscosity, 7.4 x10-7 m2/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is (a) 0.651 x 10-3 (c) 6.51 (b) 0.651 (d) 0.651 x 103
At a point in a pipe that lay flat ノ water in the pipe flows at a speed of 9.0 mls and has 6-40x 104 Pa a gaoge pressure is Find the gauge pressure at point 2 of pipe that lower than the first point 8.0 m and the cvoss - se ctional| area of the pipe is double of first point . Answer [1.52x105 Pa]
An incompressible fluid (kinematic viscosity, 7.4 x10-7 m²/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is (a) 0.651 x 10-3 (c) 6.51 (b) 0.651 (d) 0.651 x 103
Take the density and dynamics viscosity of the water as follows, determine the value of friction factor (f), head loss (h1), pressure drop (dP) and power required to overcome the pressure drop (W) for the cases as shown in the table that follows. Take p= 1000 kg/m³ while u = 1.138 x 103kg/ms. Q2 Cases Pipe Material Water Velocity Pipe Diameter Pipe Length (m/s) (mm) (m) 1 Wrought iron 3.00 35 1000 2 Commercial steel 2.50 10 500
Example: Water has a coefficient of viscosity of 0.001 Pa/s. What pressure difference is necessary to keep water moving with a volume flow rate of 0.015m³/s through a 3 m long pipe with a radius of 2 cm. What do you understand under the answer?
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear stress in the fluid at the wall of the pipe (Just use symbols). (c) If the given profile persists a distance L along the pipe, what is the force on the wall due to the moving water and what is its direction? (Hint: The force on the wall is equal in magnitude but in the opposite direction of that in the fluid.)
Water with density and kinematic viscosity of 1000 kg/m?, 1 x10-s m²/s respectively flow through a 0.1 m diameter 10 m long horizontal pipe and Figure 1 shows the exponent value (n) for power laws velocity profiles. If average velocity of the flow is 1 m/s, determine; (i) (ii) centerline velocity; and time average velocity at a location of 0.025 m from the pipe centerline. 11 10 6 10 10 10 Re= ND Figure 1: the exponent value (n) for power laws velocity profiles