a) A thin 20-cm " 20-cm flat plate is pulled at 1 m/s horizontally through a 3.6- mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.3 m/s, as shown in Fig. 1. The dynamic viscosity of oil is 0.027 Pa. s. Assuming the velocity in each oil layer to vary linearly, (a) plot the velocity profile and find the location where the oil velocity is zero and (b) determine the force that needs to be applied on the plate to maintain this motion.

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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a) A thin 20-cm" 20-cm flat plate is pulled at 1 m/s horizontally through a 3.6-
mm-thick oil layer sandwiched between two plates, one stationary and the other
moving at a constant velocity of 0.3 m/s, as shown in Fig. 1. The dynamic
viscosity of oil is 0.027 Pa. s. Assuming the velocity in each oil layer to vary
linearly, (a) plot the velocity profile and find the location where the oil velocity
is zero and (b) determine the force that needs to be applied on the plate to
maintain this motion.
b) The viscosity of a fluid is to be measured by a viscometer constructed of two
40-cm-long concentric cylinders. The outer diameter of the inner cylinder is 12
cm, and the gap between the two cylinders is 0.15 cm. The inner cylinder is
rotated at 300 rpm, and the torque is measured to be 1.8 N. m. Determine the
viscosity of the fluid.
Fixed wall
h₁ = 2 mm
h₂= 2.6 mm
Va 1 m/s
Moving wall
Fig. 1.
V=0.3 ms
Transcribed Image Text:a) A thin 20-cm" 20-cm flat plate is pulled at 1 m/s horizontally through a 3.6- mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.3 m/s, as shown in Fig. 1. The dynamic viscosity of oil is 0.027 Pa. s. Assuming the velocity in each oil layer to vary linearly, (a) plot the velocity profile and find the location where the oil velocity is zero and (b) determine the force that needs to be applied on the plate to maintain this motion. b) The viscosity of a fluid is to be measured by a viscometer constructed of two 40-cm-long concentric cylinders. The outer diameter of the inner cylinder is 12 cm, and the gap between the two cylinders is 0.15 cm. The inner cylinder is rotated at 300 rpm, and the torque is measured to be 1.8 N. m. Determine the viscosity of the fluid. Fixed wall h₁ = 2 mm h₂= 2.6 mm Va 1 m/s Moving wall Fig. 1. V=0.3 ms
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