+1 vote
in Fluid Mechanics by (118k points)
What will be the dimension of the flow consistency index for a fluid with a flow behaviour index of 3?

(a) [M L^-2 T].

(b) [M L^-2 T^-1].

(c) [M L^-1 T^-2].

(d) [M L^-1 T].

I got this question in class test.

My enquiry is from Types of Fluids topic in portion Properties of Fluids of Fluid Mechanics

1 Answer

+2 votes
by (362k points)
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Best answer
Right option is (d) [M L^-1 T].

The 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. Putting n = 3,

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