Newton's Law of Viscosity for a Newtonian fluid relates shear stress tau to the velocity gradient dV/dy by:

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Mechanical Engineering QUESTION #2395

Question 1

Newton's Law of Viscosity for a Newtonian fluid relates shear stress \(\tau\) to the velocity gradient \(dV/dy\) by:

\(\tau = \mu \frac{dV}{dy}\) where \(\mu\) is dynamic (absolute) viscosity✔️
\(\tau = \nu \frac{dV}{dy}\) where \(\nu\) is kinematic viscosity
\(\tau = \rho \frac{dV}{dy}\)
\(\tau = E \frac{dV}{dy}\) where \(E\) is bulk modulus

Correct Answer Explanation

Newton's Law of Viscosity: \(\tau=\mu\frac{dV}{dy}\) where \(\mu\) (Pa·s) is the dynamic viscosity. Newtonian fluids exhibit a linear relationship between shear stress and strain rate.

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