b)A pitot tube flow sensor is used to measure the flow rate in a pipe,as shown in Figure Q4.Impact ProbeP1Direction of FlowStatic ProbeP2Differential pressuretransducerFigure Q4A manometer is used to measure the differential pressure, showinga difference in fluid level of 150 mm between the two probes.Calculate the differential pressure if the liquid has a density of900 kg / m3, expressing your answer in pascals and also bar.(Gravitational acceleration, g may be taken as 9.81 m/s².)(Question 4 continues on the next page.)Page 5 of 14(Question 4 continues below.)c)The velocity of the fluid is given by:2(P1-P2)V =(m/s)where P1 - P2 is the differential pressure, measured in Pascals.Calculate the linear flow rate in m/s.d)If the diameter of the pipe is 200 mm, calculate thei)volumetric flow rate in m3/sii)mass flow rate in kg/s

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Engineering

Mechanical Engineering

A pitot tube flow sensor is used to measure the flow rate in a pipe, as shown in Figure Q4.

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

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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

b)
A pitot tube flow sensor is used to measure the flow rate in a pipe,
as shown in Figure Q4.
Impact Probe
P1
Direction of Flow
Static Probe
P2
Differential pressure
transducer
Figure Q4
A manometer is used to measure the differential pressure, showing
a difference in fluid level of 150 mm between the two probes.
Calculate the differential pressure if the liquid has a density of
900 kg / m3, expressing your answer in pascals and also bar.
(Gravitational acceleration, g may be taken as 9.81 m/s².)
(Question 4 continues on the next page.)
Page 5 of 14
(Question 4 continues below.)
c)
The velocity of the fluid is given by:
2(P1-P2)
V =
(m/s)
where P1 - P2 is the differential pressure, measured in Pascals.
Calculate the linear flow rate in m/s.
d)
If the diameter of the pipe is 200 mm, calculate the
i)
volumetric flow rate in m3/s
ii)
mass flow rate in kg/s

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