Question

[2 pts] Reynolds number is an important quantity in fluid mechanics used to help predict flow patterns in different fluid flow situations. It can be expressed as: R e=\frac{\mathrm{UL}}{\mathrm{u}} where U is average velocity, L is characteristic length, and u is kinematic viscosity. Make a dimension analysis for Reynolds number, in terms of [T]~time, [L]~length, [M]~mass.

Fig: 1

Fig: 2

Fig: 3