Calculation of Head Loss Coefficient K

Head loss is the loss of energy in a fluid system due to friction, turbulence, or other factors. It is expressed in terms of a head loss coefficient, which is a dimensionless quantity that relates the head loss to the velocity of the fluid. The head loss coefficient is denoted by the symbol K.

Coefficient of Velocity

The coefficient of velocity is a dimensionless quantity that relates the actual velocity of a fluid jet to the theoretical velocity of the jet. It is denoted by the symbol Cv.

Formula to Calculate Head Loss

The head loss in a nozzle can be calculated using the following formula:

Head Loss = K * (v^2/2g)

where,
K = head loss coefficient
v = velocity of the fluid
g = acceleration due to gravity

Given Data

Cv = 0.95

Calculation of K

The coefficient of velocity is related to the head loss coefficient by the following formula:

Cv = (actual velocity of the fluid jet) / (theoretical velocity of the jet)

The theoretical velocity of the jet can be calculated using the following formula:

Vt = sqrt(2gh)

where,
h = height of the fluid above the nozzle
g = acceleration due to gravity

If we assume that the height of the fluid above the nozzle is zero, then the theoretical velocity of the jet is simply:

Vt = sqrt(2g(0)) = 0

Therefore, the actual velocity of the jet is equal to:

Va = Cv * Vt = 0.95 * 0 = 0

This means that there is no flow through the nozzle, and hence there is no head loss. Therefore, the value of K is zero.

Conclusion

The head loss coefficient K for a nozzle with coefficient of velocity Cv=0.95 is zero. This means that there is no head loss in the nozzle and the fluid flows through the nozzle without any resistance.

A nozzle with a coefficient of velocity Cv = 0.95 is at tached at the end of a pipe. If the head loss in the nozzle is K(V2 /2g), where V = velocity of jet issuing from the nozzle, the value of K for this nozzle is