Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.10CP
A popular gravity-driven instrument is the Cannon-Ubbelohde viscometer, shown in Fig. C1.10. The test liquid is drawn up above the bulb on the right side and allowed to drain by gravity through the capillary tube below the bulb. The time t for the meniscus to pass from upper to lower timing marks is recorded. The kinematic viscosity is computed by the simple formula: v = Ct where C is a calibration constant. For v in the range of 10U-50U mm2/s, the recommended constant is C = 0.50 mm2/s2, with an accuracy less than 0.5 percent.
(a) What liquids from Table A.3 arc in this viscosity range? (b) Is the calibration formula dimensionally consistent? (c) What system properties might the constant C depend upon? (d) What problem in this chapter hints at a formula for estimating the viscosity?
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For the capillary-tube viscometer shown, the liquid to be tested is drawn into the
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430 s. When a liquid having a
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tube
Q.1
A simple and accurate viscometer can be
made from a length of capillary tubing.
If the flow rate and pressure drop are
measured, and the tube geometry is known,
the viscosity of Newtonian liquid can be
computed. A test of a certain liquid in a
capillary viscometer gave the following
data:
Flow rate: 880 mm /s, Tube length: 1 m,
,3,
Tube diameter: 0.50 mm, Pressure drop: 1.0
MPа
The viscosity of liquid will be (pig =999 kg/m:),
assuming the flow to be laminar.
A
0.37x10*Ns/m
В
3.7x10* Ns/m
1.74x10* Ns/m
C
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C1 (a). A lubricating oil having the dynamic
viscosity of 0.058 poise and kinematic viscosity of
0.14 stokes. Calculate (i) the density of oil in
kg/m3, (ii) the weight density of oil in N/m3,(ii) the
specific gravity, and (iv) the specific volume in
m3/kg.
C1 (b). Calculate the capillary effect in mm in a
glass tube of 3.6 mm diameter, when immersed in
(1) water (2) mercury. The values of surface
tension in contact with air are 0.0743 N/m and 0.75
N/m respectively. The contact angle for water =0°
and mercury 130°.
(Enter only the values by referring to the unit
given. Also, upload the handwritten answers in
the link provided)
C1(a).(i).The density of oil in kg/m3
C1(a). (ii) the weight density of oil in N/m3
C1(a). (ii) the specific gravity
C1(a). (iv) the specific volume in m3/kg
C1 (b). 1.The capillary effect (water) in mm
C1 (b). 2.The capillary effect (mercury) in mm
Chapter 1 Solutions
Fluid Mechanics
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