A system total head against mean velocity curve for a particular power law liquid in a particular pipe system can be represented by the equation

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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P.5.5
A system total head against mean velocity curve for a particular power law liquid in a
particular pipe system can be represented by the equation
Ah = (0.03)( 100")(u") + 4.0
for u s1.5 m/s
18-Ch.5
Chopter Frve
Fluid Flow
Pumping of Liquids
where, Ah is the total head in m, u is the mean velocity in m/s, and n is the power law
index.
A centrifugal pump operates in this particular system with a total head against mean
velocity curve represented by the equation
Ah = 8.0 - 0.2u - 1.0u
(This is a simplification since Ah is also affected by n).
(a) Determine the operating points for the pump for
(i) a Newtonian liquid
(ii) a shear thinning liquid with n = 0.9
(iii) a shear thinning liquid with n = 0.8.
(b) Comment on the effect of slight shear thinning on centrifugal pump operation.
for u S1.5 m/s
Transcribed Image Text:P.5.5 A system total head against mean velocity curve for a particular power law liquid in a particular pipe system can be represented by the equation Ah = (0.03)( 100")(u") + 4.0 for u s1.5 m/s 18-Ch.5 Chopter Frve Fluid Flow Pumping of Liquids where, Ah is the total head in m, u is the mean velocity in m/s, and n is the power law index. A centrifugal pump operates in this particular system with a total head against mean velocity curve represented by the equation Ah = 8.0 - 0.2u - 1.0u (This is a simplification since Ah is also affected by n). (a) Determine the operating points for the pump for (i) a Newtonian liquid (ii) a shear thinning liquid with n = 0.9 (iii) a shear thinning liquid with n = 0.8. (b) Comment on the effect of slight shear thinning on centrifugal pump operation. for u S1.5 m/s
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