Question

Velocity head is the mechanical energy of a fluid per unit weight of the fluid measured relative to the bottom of the channel.

a. True
b. False

Answer 1

b. False

Step-by-step explanation:

The Bernoulli's equation is given by;

`P + \rho gh + (1)/(2) \rho v^2 = constat`

Divide through by the density of the fluid and acceleration due to gravity (ρg), to obtain energy per unit weight of the fluid known as head;

`(P)/(\rho g) + h + (v^2)/(2g) = constant`

where;

`(P)/(\rho g)` is pressure head

h is datum head (mechanical energy due to height of the fluid)

`(v^2)/(2g)` is velocity head (mechanical energy due to velocity of the fluid)

Thus, the mechanical energy of a fluid per unit weight of the fluid, measured relative to the bottom of the channel is datum head.

The correct option is "b. False"