fluid mechanics - koyapetesingle column manometer single column manometer is a modified form of a...

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1 FLUID Mechanics Prepared by: Brosk F. A. Zangana Lecture no. 6 Department of Petroleum Engineering Faculty of Engineering Koya University Email: [email protected]

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Page 1: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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FLUID Mechanics

Prepared by:

Brosk F. A. Zangana

Lecture no. 6

Department of Petroleum Engineering

Faculty of Engineering

Koya University

Email: [email protected]

Page 2: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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Single Column Manometer

Single column manometer is a modified form of a U-tube

manometer in which one side is a large reservoir and the other

side is a small tube, open to the atmosphere.

There are two types of single column manometer:

1- Vertical single column manometer.

2- Inclined single column manometer.

Page 3: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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1- Vertical Single Column Manometer

Vertical single column manometer

Page 4: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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A>> a

Then:

1- Vertical Single Column Manometer

Page 5: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

Tutorial 1

Page 6: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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2- Inclined Single Column Manometer

By substituting the value of h2, We get:

This manometer is more sensitive.

Due to the inclination the distance

moved by the heavy liquid in the

right limb will be more.

Inclined Single Column Manometer

From the eq.

Page 7: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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Differential Manometers

Differential Manometers are devices used for measuring the

difference of pressure between two points in a pipe or in two

different pipes . A differential manometer consists of a U-tube,

containing a heavy liquid, whose two ends are connected to the

points, which difference of pressure is to be measure.

Most commonly types of differential manometers are:

1- U-tube differential manometer.

2- Inverted U-tube differential manometer.

Page 8: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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1- U-tube differential manometer.

A and B are at different level A and B are at the same level

Page 9: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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A and B are at the same level p1=density of liquid at A=density of liquid at B.

PA-PB=h.g(pg-p1)

Where:

1- U-tube differential manometer.

Page 10: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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A and B are at different level

Where:

h = difference in mercury level in the U-tube

y = distance of the centre of B, from the

mercury level in the right limb.

x = distance of the centre of A, from the

mercury level in the left limb.

p1=density of liquid at A.

p2=density of liquid at B.

pg=density of mercury (heavy liquid).

PA- PB= h.g (pg-p1) + p2gy - p1gx

1- U-tube differential manometer.

PA + p1g (x+h) – pggh - p2gy = PB

Page 11: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

Tutorial 2

Page 12: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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It consists of inverted U-tube, containing a light liquid. The two

ends of the tube are connected to the points whose difference of

pressure is to be measured. It is used for measuring differences of

low pressures.

2- Inverted U-tube differential manometer.

Page 13: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

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2- Inverted U-tube differential manometer.

Page 14: FLUID Mechanics - KOYAPETESingle Column Manometer Single column manometer is a modified form of a U-tube manometer in which one side is a large reservoir and the other side is a small

Tutorial 3