CALCULATE POWER SUPPLIED TO THE PUMP TO MAINTAIN Q USE ENERG

CALCULATE POWER SUPPLIED TO THE PUMP TO MAINTAIN Q. (USE ENERGY EQN INCLUDE MINOR FRICTION) CHANGES MADE TO THE PUMP DECREASE SOLUTION LINE (1.5 M) DECREASE LENGTH L DISCHARGE (213.4 M) ADD FULLY OPEN GATE VALUE IN THE SECTION LINE INCREASE DISCHARGE LINE SIZE FROM 1.052.5 M ADD A CHECK VALUE K = 1.8 REPLACE THE GLOBE VALUE W/A WIDE OPEN GATE VALUE REPLACE W/FULLY OPEN GLOBE VALUE IS THERE, IS THERE A SAVING? IF SO, HOW MUCH COMPARISON? RECALCULATE POWER NEEDED TO SUPPLY TO THE PUMP AND COMPARE POWER IN BEFORE TO PIN AFTER.

Solution

A simple demonstration of how the Grashof number arises in free convection is to consider a parcel of light fluid, rho less than rho not, rising a distance x due to buoyancy. Equate the decrease in potential energy of the parcel to its increase in kinetic energy to form a characteristic \"velocity\" of the parcel. Use this velocity-scale to form a Reynolds number Re_x and then interpret its square, Re_x^2.