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Fluid Mechanics
Flow Through Pipes
GATE 2013
Medium

The apparent viscosity of a fluid is given by 0.007|dV/dy|^0.3, where (dV/dy) is the velocity gradient. The fluid is

  • ABingham plastic
  • dilatant
  • Cpseudoplastic
  • Dthixotropic

Explanation

For a power-law fluid, τ=K(dV/dy)ⁿ, so apparent viscosity μ_app=τ/(dV/dy)=K(dV/dy)^(n−1). Matching the given μ_app=0.007(dV/dy)^0.3 gives n−1=0.3, i.e. n=1.3>1 — a shear-thickening (dilatant) fluid, whose apparent viscosity increases with increasing shear rate.

Source: GATE CH 2013 (2013)

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