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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C1 (a). A lubricating oil having the dynamic viscosity of 0.058 poise and kinematic viscosity of 0.19 stokes. Calculate ) the density of oil in kg/m³, (ii) the weight density of oil in N/m3,(iii) the
specific gravity, and (iv) the specific volume in m3/kg.
C1 (b). Calculate the capillary effect in mm in a glass tube of 4.4 mm diameter, when immersed in (1) water (2) mercury. The values of surface tension in contact with air are 0.0756 N/m and 0.74
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).(1).The density of oil in kg/m3
C1(a). (ii) the weight density of oil in N/m3
C1(a). (iii) the specific gravity
C1(a). (iv) the specific volume in m?/kg
C1 (b). 1.The capillary effect (water) in mm
-----
C1 (b). 2.The capillary effect (mercury) in mm
For the capillary-tube viscometer shown, the liquid to be tested is drawn into the
tube to the level of the top etched line. The time is then obtained for the liquid to
drain to the bottom etched line. The kinematic viscosity, v, in m?/s is then
obtained from the equation v = KR*t where K is a constant, R is the radius of
the capillary tube in mm, and tis the drain time in seconds. When glycerin, whose
viscosity is 1.4 Pa.s at 20°C and density is 260 kg/m³, is used as a calibration
fluid in a particular viscometer the drain time is
density of 970 kg/m3 is tested in the same viscometer the drain time is 900 s.
What is the dynamic viscosity of this liquid?
Glass
strengthening
bridge
Etched lines
430 s. When a liquid having a
Capillary
tube
Chapter 1 Solutions
Fluid Mechanics
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