A geothermal pump is used to pump brine whose density is 1050 kg/m3 at a rate of 0.3 m3/s from a depth of 200 m. For a pump efficiency of 74 percent, determine the required power input to the pump. Disregard frictional losses in the pipes, and assume the geothermal water at 200 m depth to be exposed to the atmosphere.

A horizontal steam pipe (60 mm. OD) carries high pressure steam at 230℃ . Wind flows past this pipe at 1 m/s velocity. The ambient temperature is 32℃. Which mode(s) of convection should we consider here? Calculate the total rate of heat loss per m. length of the pipe.

1. A hole in the bottom of a large open tank discharges water to the atmosphere. If the exit velocity in the absence of losses is Ve, find the loss coefficient for the hole if the actual velocity is Ve/2. Assume turbulent flow. 2. Air enters a duct at a speed of 100 m/s and leaves it at 200 m/s. If no heat is added to the air and no work is done by the air, what is the change in temperature of the air as it passes through the duct?  

Problem 4. In order not to damage the resistance in the kettles, the difference between the temperature of the heater and the fluid should not exceed 25 °C. If the heat transfer area between the fluid and the heater is 78.5 cm² and the heat transfer coefficient is 400 W/m².K, find the maximum allowable power of the heater in order to boil water?