3. A circular cylinder of radius a is fitted with two pressure sensors to measure pressure at 0 = 180° and at 9 = 150°. The intent is to use this cylinder as a stream velocimeter, i.e. a device to determine the velocity of a stream by measuring the pressures at the two taps. The fluid is incompressible with a density of p. U Figure for Part (a) Figure for Part (b) 300 a) Using potential flow approximation, derive a formula for calculating U from the measured pressure difference at the two pressure taps. Note that for accurate measurement, the velocimeter must be a aligned to have one of the taps exactly facing the stream as shown in the figure. (Ans: /2|Aptaps|/p )

3. A circular cylinder of radius a is fitted with two pressure sensors to measure pressure at 0 = 180° and at 9 = 150°. The intent is to use this cylinder as a stream velocimeter, i.e. a device to determine the velocity of a stream by measuring the pressures at the two taps. The fluid is incompressible with a density of p. U Figure for Part (a) Figure for Part (b) 300 a) Using potential flow approximation, derive a formula for calculating U from the measured pressure difference at the two pressure taps. Note that for accurate measurement, the velocimeter must be a aligned to have one of the taps exactly facing the stream as shown in the figure. (Ans: /2|Aptaps|/p )

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: Can tutor explain C more clearly on the step as I do not see that formula before So far this the…

Q: On a single plot, show curves that show the relationship between the pressure generated by the pump…

Q: 1. Answer the following questions: (a) What is the physical meaning of the following: D a +V.v at Dt…

A: The Cartesian vector form of a velocity filed can be written as:…

Q: 1- The velocity field near a stagnation point may be written in the form U = (U₁x)/L v = -(Uoy)/L Uo…

Q: Let vector Ğ be given by Ğ = (2xz)į + (x²/2)j - (z²)k. Calculate the divergence of G.

Q: Please do Q1 carefully.

A: Given data: The velocity is, v1=12 mph. The acceleration due to gravity is, g=32.2 ft/s2. The datum…

Q: A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm,…

Q: I) Find the value of constant in the first equation, and its units. Do NOT convert to metric.…

A: Given Data: For metric system: The head at another point is, z2= 18 in=18 in×m39.37 in=0.457 m. The…

Q: 3) A source and a sink of strength 4 and 8 m/s² are located at (-1, 0) and (1, 0) respectively.…

Q: An incompressible fluid flows through a pipe without significant viscosity. It has a density of 124…

A: Given:r1=2.8 cm =0.028 mV1=13 m/sz1=0 mP1=103,763 Par2=3.87 cm =0.0387 mz2=5m

Q: operat = 0, dx ду dz + = 0, dx ду dz The above steps are legal only if the flow is, Answers:…

A: Incompressible flow is defined as a flow in which the density of any fluid,remains constant. A…

Q: d) An incompressible fluid with density p is flowing through the duct system shown. You may assume…

Q: Elevation = 0 m (Datum) Elevation = 200 m Dia = 0.8 m Pump Dia = 1.0 m L = 500 m L = 200 m Elevation…

A: To perform ""Since you have asked multiple questions, we will solve the first question for you. If…

Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

3. A circular cylinder of radius a is fitted with two pressure sensors to measure pressure at 0 = 180° and at
150°. The intent is to use this cylinder as a stream
velocimeter, i.e. a device to determine the velocity of a
stream by measuring the pressures at the two taps. The
fluid is incompressible with a density of p.
Figure for Part (a)
U
Figure for Part (b)
30
a) Using potential flow approximation, derive a formula
for calculating U from the measured pressure
difference at the two pressure taps. Note that for
accurate measurement, the velocimeter must be
aligned to have one of the taps exactly facing the stream as shown in the figure. (Ans: 2|Aptaps|/p )
b) Suppose the velocimeter has been misaligned by ổ degrees so that the two pressure taps are now at 180°
+ 8 and 150° + 8. Derive an expression for the percent error in stream velocity measurement. Then,
calculate the error for 8 = 5°,10° and –10°. (Ans: [2/(sin2(150 + 8) – sin²(180 + 8) )– 1] × 100 )

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p=6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = PV(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? LL c. Assume the pressure gradient is uniform on the cross-section and can be calculated using OP=-. The velocity profile in the cylinder is u(r) = ax - [1-(²]. Sketch the velocity profile. Calculate the shear stress at the R² ap 2UÔI cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L L. R
n = Xe()r -------Equation 1 where X = 1.7419 and (E/R) = -0.018 are constants for a given fluid. You are required to carry out appropriate calculations on the effect of changes in temperature given in table A by using equation 1 for Ethanol on the viscosity of a fluid. Table A NO Temperature viscocity n T°C cP 10 3 20 30 5 40 6. 50 7 60 8 70 In addition to this, calculate other constraints such as the variety of shear stress (T) and force due to fluid viscosity, when the two layers of different compressible Newtonian fluids are contained between two flat plates separated by a distance of 0.05m and fluid moving with the velocity of 2m/s in the horizontal direction. Assume the shear area between the fluid layers is 0.5m². To do this you required to explain, with examples, the effects of temperature and shear forces on Newtonian and non-Newtonian fluid. Also, explain the operation and constraints of different viscometers that quantify viscosity in fluids. 2.
1. Convert the units that are blank with the given data2. Use equations to obtain results from the given information. 3. Show calculations
q; = K(P; − P;) - qj q; = K(P; - P;) where qi and q; are fluid flow at nodes i and j, respectively; P; and P; are fluid pressure at nodes i and j, respectively; and K is K = πD4 128μL where D is the diameter of the piper, μ is the viscosity, and L is the length of the pipe. The fluid flow is considered positive away from the node. The viscosity of the fluid is 9×10+ Pa's. a. Write the element matrix equation for the flow in the pipe element. b. The net flow rates into nodes 1 and 2 are 10 and 15 m³/s, respectively. The pressures at the nodes 6, 7, and 8 are all zero. The net flow rate into the nodes 3, 4, and 5 are all zero. What is the outflow rate for elements 4, 6, and 7? Q1 2 1 3 (4) 4 10 5 6 7 Elem 1 2 3 4 5 6 7 D(mm) 40 40 50 25 40 25 25 L(m) 1 1 4 2 3 3 8
just part g
flow in a pipe questions e-g
please solve question 4
QUESTION 14 The venturi meter has water flowing through it. The pressure difference is 6894.6 Pa. The diameter at point 2 is 0.1524 m, and diameter at point 1 is 2 times of point 2. What is volumetric flow rate through this meter? Write your answer only on m/h only. The coefficient of discharge is assumed to be as unity and density of water 1000 kg/m. [2(P - P2)/p]/2 V2 = C, 1- (A / A}) %3D Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Ans
b
Please help, will provide definitely helpful ratings for full solution. Thank u
Q1: A water tower is an elevated structure supporting a water tank constructed at a height sufficient to pressurize a distribution system for potable water. A completely filled and pressurized water tank was found with a small leakage (a hole 5cm in diameter) located on the sidewall of the tank, around 5 meters below the top of the tank. Please calculate the velocity of leakage water that discharges to the normal atmosphere. The dimension of the tank is 20-meter in height and 10-meter in diameter. The gauge pressure of the water tank top is 0.1M Pa. The Bernoulli equation is: P₁/pg + V₁²/2g +h₁ = P₂/pg + V₂²/2g +h₂ Gauge Pressure: 0.1 M Pa 5 meters Leakage velocity?
Your team is designing a chemical processing plant. You are the liquid handling and transportation specialist, and you need to transport a solvent (μ = 3.1 cP, ρ = 122k kg/m3) from a storage tank to a reaction vessel. Due to other equipment constraints, the fluid velocity must be 0.8 m/sec, and you must use stainless steel piping (ε = 0.00015 mm) with a total length (L) of 12 m. Determine the pipe inner diameter (ID) you will need to achieve a pressure drop of 0.3 kPa. Use the Moody chart.