Discussion
Which dimensionless number is most directly used to predict the transition between laminar and turbulent flow in a fluid?
Answer: B
The Reynolds number is the dimensionless number used to predict the transition between laminar and turbulent flow. It is the ratio of the inertia forces to the viscous forces, \(Re = \frac{\rho V D}{\mu}\), and for flow in pipes the flow becomes turbulent above a critical value of about 4000. The Prandtl number compares the diffusion of momentum and heat, the Froude number compares inertia and gravity forces, and the Nusselt number compares convective and conductive heat transfer, so none of them predicts the transition.
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