A rotating-cylinder viscometer has inner radius (held fixed) and outer radius

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Viscous flow and dynamical similarity · Viscous flow and dynamical similarity

Fluid Dynamics, Ch The Navier-Stokes equations and unsteady exact solutions

Problem

A rotating-cylinder viscometer has inner radius

R_1 = 15\,\mathrm{mm}

(held fixed) and outer radius

R_2 = 16\,\mathrm{mm}

, filled to a height

h = 40\,\mathrm{mm}

with an unknown syrup. The outer cylinder is driven at

\Omega_2 = 5\,\mathrm{rad\,s^{-1}}

and the torque needed to hold the inner cylinder still is measured as

T = 0.020\,\mathrm{N\,m}

. Assume steady circular Couette flow fills the gap. Find the viscosity

\mu

of the syrup.

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