Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 1, Problem 1.64P
Pressure in a water container can be measured by an open vertical tube—see Fig. P2.11 for a sketch. If the expected water rise is about 20 cm, what tube diameter is needed to ensure that the error due to capillarity will be less than 3 percent?
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In Fig.the tank contains water and immiscibleoil at 20 ° C. What is h in cm if the density of the oil is898 kg/m 3 ?
Select the correct value of H:
( The density of liquid =990 kgim, gravity g = 9.81 mis and L= 90 cm, Pressure P1= 52.369 Kpa)
Air
Pt
Liquid
(2)
The inclined tube manometer shown in the next figure is
used to measure small pressure perturbations (Ap). This
manometer is composed of a large tube (diameter (D), area
(A)) and a small inclined capillary tube (diameter (d), area
(a)) and angle (0). Any small pressure difference will result
in fluid displacement (Ah) in the large tube and a significant
displacement of the fluid in the capillary at a length (AL.).
Ap
AL
initial level Ap
(1) Obtain a relationship between (Ah) and (AL) ! (hint: displaced liquid in large tube is equal to that in the
small tube )
(2) What the formula for (z2 – 21) ? (hint : height between level 2 and level 1)
(3) Express the pressure (Pz-P1) in terms of (AL, 0, p, g, d, and D) ?
(4) At what angle should the manometer be adjusted so that (AL-5 Ah) ?
Chapter 1 Solutions
Fluid Mechanics
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