(c) Viscosity is defined as the measurement of the resistance of a fluid to gradual deformation by shear or tensile stress. A shear stress will be developed as a fluid moves along the fluid mechanics system. There are severalcommon methods used to measure the viscosity such as viscometers or rheometers. A falling-ball viscometer as shown in Figure 1 is being used to measure the viscosity. A 0.35 cm diameter steel ball with a specific gravity of 7.7 is allowed to fall freely in a heavy fuel oil having specific gravity of 0.90. The ball is observed to fall 50 cm in 2 hours. i) Caleulate the dynamic viscosity of the oil in Pa.s.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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(c) Viscosity is defined as the measurement of the resistance of a fluid to gradual deformation
by shear or tensile stress. A shear stress will be developed as a fluid moves along the fluid
mechanics system. There are severalcommon methods used to measure the viscosity such
as viscometers or rheometers. A falling-ball viscometer as shown in Figure 1 is being used
to measure the viscosity. A 0.35 cm diameter steel ball with a specific gravity of 7.7 is
allowed to fall freely in a heavy fuel oil having specific gravity of 0.90. The ball is
observed to fall 50 cm in 2 hours.
i) Caleulate the dynamie viscosity of the oil in Pa.s.
ii) Determine the dynamic viscosity of the fluid in the viscometer if the fluid is
replaced with mercury.
iii) Describe the relationship between the answer in (i) and (i).
Fluid
sample
Falling
ball
Measured
distance
Figure 1
Transcribed Image Text:(c) Viscosity is defined as the measurement of the resistance of a fluid to gradual deformation by shear or tensile stress. A shear stress will be developed as a fluid moves along the fluid mechanics system. There are severalcommon methods used to measure the viscosity such as viscometers or rheometers. A falling-ball viscometer as shown in Figure 1 is being used to measure the viscosity. A 0.35 cm diameter steel ball with a specific gravity of 7.7 is allowed to fall freely in a heavy fuel oil having specific gravity of 0.90. The ball is observed to fall 50 cm in 2 hours. i) Caleulate the dynamie viscosity of the oil in Pa.s. ii) Determine the dynamic viscosity of the fluid in the viscometer if the fluid is replaced with mercury. iii) Describe the relationship between the answer in (i) and (i). Fluid sample Falling ball Measured distance Figure 1
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