When the inner cylinder is rotating and the outer cylinder is stationery, in reality, viscous torque is produced both from the annular gap around the inner cylinder (M3) as well as from the flat bottom of the inner cylinder as it rotates above the flat bottom of the outer cylinder (M4). i. Obtain an expression for M3 and M4. ii. If the values of M4 needs to be 1% of M3 (or less than 1%) - obtain a plot of (b/a) as a function of (R; / h). If the values of M, needs to be 1% of M3 (or less than 1%), obtain the value of b when a = 0.20 [mm], R; = 50 [mm], h = 80 [mm], M3 =0.0245 [N] and 2 = 1.2 [s']. iii. %3D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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(e) When the inner cylinder is rotating and the outer cylinder is stationery, in reality, viscous torque
is produced both from the annular gap around the inner cylinder (M3) as well as from the flat
bottom of the inner cylinder as it rotates above the flat bottom of the outer cylinder (M.).
i.
Obtain an expression for M3 and M4.
ii.
If the values of M4 needs to be 1% of M3 (or less than 1%) obtain a plot of (bla) as a
function of (R; / h).
If the values of M, needs to be 1% of M3 (or less than 1%), obtain the value of b when a
= 0.20 [mm], R; = 50 [mm], h = 80 [mm], M3 = 0.0245 [N] and 2 = 1.2 [s'].
What other design modifications would you recommend for this design in (e)?
iii.
iv.
Transcribed Image Text:(e) When the inner cylinder is rotating and the outer cylinder is stationery, in reality, viscous torque is produced both from the annular gap around the inner cylinder (M3) as well as from the flat bottom of the inner cylinder as it rotates above the flat bottom of the outer cylinder (M.). i. Obtain an expression for M3 and M4. ii. If the values of M4 needs to be 1% of M3 (or less than 1%) obtain a plot of (bla) as a function of (R; / h). If the values of M, needs to be 1% of M3 (or less than 1%), obtain the value of b when a = 0.20 [mm], R; = 50 [mm], h = 80 [mm], M3 = 0.0245 [N] and 2 = 1.2 [s']. What other design modifications would you recommend for this design in (e)? iii. iv.
M
а-
R,-
- Fluid
R; -
Rotating
bob
Stationary cup
Figure 1. Schematic of coaxial
cylinder viscometer.
Transcribed Image Text:M а- R,- - Fluid R; - Rotating bob Stationary cup Figure 1. Schematic of coaxial cylinder viscometer.
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