Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 10, Problem 10.1P
To determine

Mass flow rate

Expert Solution & Answer
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Answer to Problem 10.1P

Mass flow rate m=4.5*?10?(5)kg/s=0.16kg/hr

Explanation of Solution

Given:

Air flow through a pipe

Velocity profile: U(r)=25[1(r/r1)2]cm/s

p = 1 bar abs = 100,000 N/m2abs

T = 5oC = 278 K

d1 = 2*r1 = 5 cm

Concept Used:

This for steady, incompressible, axis-symmetric flow becomes:

Mass flow rate through a pipe:

  m˙=02π0r1ρU(r)rdrdθ

Calculation:

As per the given problem

For a perfect gas, the density obtained by the relation:

  ρ=pRT=100000287*278=1.16 kg/m3

We know that, Mass flow rate through pipe:

  m˙=02π0r1ρU(r)rdrdθ

  m˙=02π0r1ρ25[1( r r 1 )2]rdrdθ

  m˙=39.3ρ  cm3s

Putting the value of density to calculate mass flow rate:

  m˙=39.3*1.16kgm3*  cm3s

  m˙=4.5*105 kgs=0.16 kg/hr

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Chapter 10 Solutions

Theory and Design for Mechanical Measurements

Ch. 10 - Determine the flow rate of 38 °C air through a...Ch. 10 - A square-edged orifice (p = 0.5) is used to meter...Ch. 10 - Size a suitable orifice plate to meter the steady...Ch. 10 - An in-line flow nozzle is to be used to measure...Ch. 10 - A cast venturi meter is to be used to meter the...Ch. 10 - For 120 ft3/m of 60 °F water flowing through a...Ch. 10 - Estimate the flow rate of water through a...Ch. 10 - A 2-in. (50.8 ram) diameter orifice plate is...Ch. 10 - In order to measure the flow rate ina2mx2mair...Ch. 10 - A flow nozzle is to be used at choked conditions...Ch. 10 - Compute the flow rate of 20 °C air through a 0.5-m...Ch. 10 - An ASME long radius nozzle (P = 0.5) is to be used...Ch. 10 - A square-edged orifice plate is selected to meter...Ch. 10 - Estimate the error contribution to the uncertainty...Ch. 10 - For Problem 10.24, suppose the air flow rate is 17...Ch. 10 - An application uses water flowing at up to...Ch. 10 - Dry air at a static pressure and temperature of...Ch. 10 - Dry air at a stagnation pressure and temperature...Ch. 10 - A sonic nozzle can be used to regulate flow rate...Ch. 10 - Select an appropriate range for a differential...Ch. 10 - From a vendor catalog or online site, select a...Ch. 10 - A vortex flow meter uses a shcdder having a...Ch. 10 - A thermal mass flow meter is used to meter 30 °C...Ch. 10 - Research available thermal mass flow meters...Ch. 10 - Fuel oil used in large sea vessels is known as...Ch. 10 - Estimate an uncertainty in the determined flow...Ch. 10 - A thermal mass flow meter is used to meter air in...Ch. 10 - A vortex meter is to use a shedder having a...Ch. 10 - An engineer has an application of water at 20 °C...Ch. 10 - The flow of air is measured to be 30 m3/min at 50...Ch. 10 - A 6 in. x 4 in. i.d. cast venturi is used to...Ch. 10 - A simple method to measure volume flow rate is to...Ch. 10 - In the problem 10.42, suppose volume can be...
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