9:59 A elearning.htu.edu.jo Part 3: Well-type Manometer Some manometers are constructed as in shown in the figure below. where one side is a large reservoir (diameter D) and the other side is a small tube of diameter d, open to the atmosphere. This is called a well-type manometer. In such a case, the height of manometer liquid on the reservoir side does not change appreciably. This has the advantage that only one height needs to be measured rather than two, thus increase the sensitivity of the manometer. Sensitivity defined as the ratio of the manometer measured deflection h to the measured pressure in head unit. The manometer liquid has density p while the air has density p. Ignore the effects of surface tension. When there is no pressure difference across the manometer, the elevations on both sides are the same, as indicated by the dashed line. Height h is measured from the zero-pressure level as shown. When a high pressure is applied to the left side, the manometer liquid in the large reservoir goes down, while that in the tube at the right goes up to conserve mass. Write an exact expression for p,, taking into account the movement of the surface of the reservoir. Your equation should give p, as a function of h, e , and the physical parameters in the (a) problem, h, d, D, and gravity constant g. (b) Write an approximate expression for pisage, neglecting the change in elevation of the surface of the reservoir liquid. (c) Suppose h = 0.26 m in a certain application. If p. = 101,000 Pa and the manometer liquid has a density of 820 kg/m',estimate the ratio Did required to keep the error of the approximation of part (b) within 1 percent of the exact measurement of part (a). (d) Calculate and plot the error function of D/d ratio. What you suggest to increase the sensitivity of this type of manometers. Give an example that support your claim. (e) HTÜ. Page 8 of 10 جامعة الحسين التقنية Al Hussein Technical University To pressure measurement location Pa P, (air) Zero pressure level Figure 4: Schematic for task 3 part 3.
9:59 A elearning.htu.edu.jo Part 3: Well-type Manometer Some manometers are constructed as in shown in the figure below. where one side is a large reservoir (diameter D) and the other side is a small tube of diameter d, open to the atmosphere. This is called a well-type manometer. In such a case, the height of manometer liquid on the reservoir side does not change appreciably. This has the advantage that only one height needs to be measured rather than two, thus increase the sensitivity of the manometer. Sensitivity defined as the ratio of the manometer measured deflection h to the measured pressure in head unit. The manometer liquid has density p while the air has density p. Ignore the effects of surface tension. When there is no pressure difference across the manometer, the elevations on both sides are the same, as indicated by the dashed line. Height h is measured from the zero-pressure level as shown. When a high pressure is applied to the left side, the manometer liquid in the large reservoir goes down, while that in the tube at the right goes up to conserve mass. Write an exact expression for p,, taking into account the movement of the surface of the reservoir. Your equation should give p, as a function of h, e , and the physical parameters in the (a) problem, h, d, D, and gravity constant g. (b) Write an approximate expression for pisage, neglecting the change in elevation of the surface of the reservoir liquid. (c) Suppose h = 0.26 m in a certain application. If p. = 101,000 Pa and the manometer liquid has a density of 820 kg/m',estimate the ratio Did required to keep the error of the approximation of part (b) within 1 percent of the exact measurement of part (a). (d) Calculate and plot the error function of D/d ratio. What you suggest to increase the sensitivity of this type of manometers. Give an example that support your claim. (e) HTÜ. Page 8 of 10 جامعة الحسين التقنية Al Hussein Technical University To pressure measurement location Pa P, (air) Zero pressure level Figure 4: Schematic for task 3 part 3.
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
Related questions
Question
Transcribed Image Text:9:59
A elearning.htu.edu.jo
Part 3: Well-type Manometer
Some manometers are constructed as in shown in the figure below. where one side is a large
reservoir (diameter D) and the other side is a small tube of diameter d, open to the atmosphere.
This is called a well-type manometer. In such a case, the height of manometer liquid on the
reservoir side does not change appreciably. This has the advantage that only one height needs to
be measured rather than two, thus increase the sensitivity of the manometer. Sensitivity defined
as the ratio of the manometer measured deflection h to the measured pressure in head unit. The
manometer liquid has density p while the air has density p. Ignore the effects of surface
tension. When there is no pressure difference across the manometer, the elevations on both sides
are the same, as indicated by the dashed line. Height h is measured from the zero-pressure level
as shown.
When a high pressure is applied to the left side, the manometer liquid in the large reservoir
goes down, while that in the tube at the right goes up to conserve mass. Write an exact
expression for p,, taking into account the movement of the surface of the reservoir.
Your equation should give p, as a function of h, e , and the physical parameters in the
(a)
problem, h, d, D, and gravity constant g.
(b)
Write an approximate expression for pisage, neglecting the change in elevation of the
surface of the reservoir liquid.
(c)
Suppose h = 0.26 m in a certain application. If p. = 101,000 Pa and the manometer liquid
has a density of 820 kg/m',estimate the ratio Did required to keep the error of the
approximation of part (b) within 1 percent of the exact measurement of part (a).
(d) Calculate and plot the error function of D/d ratio.
What you suggest to increase the sensitivity of this type of manometers. Give an example
that support your claim.
(e)
HTÜ.
Page 8 of 10
جامعة الحسين التقنية
Al Hussein Technical University
To pressure measurement location
Pa
P, (air)
Zero pressure level
Figure 4: Schematic for task 3 part 3.
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