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For what value of flow behaviour index, does the consistency index has a dimension independent of time?

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+2 votes
in Fluid Mechanics by (118k points)
For what value of flow behaviour index, does the consistency index has a dimension independent of time?

(a) 0

(b) 1

(c) 2

(d) 3

This question was addressed to me in an interview for internship.

My query is from Types of Fluids in division Properties of Fluids of Fluid Mechanics

1 Answer

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Best answer
Correct answer is (c) 2

Easy explanation: The relation between shear stress Z and velocity gradient  of a fluid is given by

where A is the flow consistency index and n is the flow behaviour index.

Thus [A] will be independent of time when n = 2.

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