The capillary rise of a fluid along the walls of the tube causes the fluid to rise a distance h. This effect depends upon the diameter d of the tube, the surface tension o, the density p of the fluid, and the gravitational acceleration g. Show how to obtain the two Pi terms h/d and o/pd2g, where q = h and s (meaning hands are the non-repeating parameters). If an experiment is performed using water at a temperature of 50°C, and the surface tension is s = 0.08 N/m, the following data is obtained of the height h versus the diameter d of the tube. Use the data and plot the relationship between the two Pi terms. Use the M-L-T System.

The capillary rise of a fluid along the walls of the tube causes the fluid to rise a distance h. This effect depends upon the diameter d of the tube, the surface tension o, the density p of the fluid, and the gravitational acceleration g. Show how to obtain the two Pi terms h/d and o/pd2g, where q = h and s (meaning hands are the non-repeating parameters). If an experiment is performed using water at a temperature of 50°C, and the surface tension is s = 0.08 N/m, the following data is obtained of the height h versus the diameter d of the tube. Use the data and plot the relationship between the two Pi terms. Use the M-L-T System.

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

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

Problem 2:
The capillary rise of a fluid along the walls of the tube causes the fluid to rise a distance h. This effect
depends upon the diameter d of the tube, the surface tension o, the density p of the fluid, and the
gravitational acceleration g. Show how to obtain the two Pi terms h/d and o/pd2g, where q = h and s
(meaning h and s are the non-repeating parameters). If an experiment is performed using water at a
temperature of 50°C, and the surface tension is s = 0.08 N/m, the following data is obtained of the
height h versus the diameter d of the tube. Use the data and plot the relationship between the two Pi
terms. Use the M-L-T System.
d
h (mm) d (mm)
60.12
30.06
20.04
14.84
12.02
10.02
0.5
NH
35555
1
1.5
2
2.5

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Step 1: Given:

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Step 2: In this step we find the unit of all the variable in MLT system

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Step 3: In this step we calculate the two dimensionless pi term

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Step 4: To plot the pi1 Vs pi2

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