Determine which of the following equations are dimensionally homogeneous:

a.

where Q is discharge, C is a pure number, L is length, g is acceleration due to gravity, and H is head.

b.

where V is velocity, n is length to the one-sixth power, R is length, and S is slope.

c.

where h_f is head loss, f is a dimensionless resistance coefficient, L is length, D is diameter, V is velocity, and g is acceleration due to gravity.

d.

where D is drag force, Re is V_x/v, B is width, x is length, ρ is mass density, ν is the kinematic viscosity, and V is velocity.

Transcribed Image Text:

Q = }CLV28H2 3/2