--%>
Assignment Help - homework help

Problem on pressure rise of a water tank

The water level in a tank is about 20 m above the ground. A hose is joined to the bottom of the tank, and the nozzle in the end of the hose is pointed to straight up. The tank is at sea level, and the water surface is open to the environment. In the line leading from the tank to the nozzle is a pump, that rises the pressure of water. If the water jet increases to a height of 27 m from the ground, then find out the minimum pressure rise that is supplied by the pump to the water line.

828_pressure rise.jpg

E

Expert

Verified

Entry and exit losses at the pump and nozzle are neglected since no data is given

The Bernoulli’s equation

P1/δg + V12/2g +z1 = P2/δg + V22/2g +z2 + Losses (L) – (i) 
P1/δg =  pressure head V2/2g =velocity head Z=  height

Assuming an air  density of 1.225 Kg/m3

Pressure at (2) = δa gh
                      = 1.225 x 9.81x 7
                      = 84.12 Pa ( below  atmosphere

P2 =Absolute pressure at (2)  = Atmospheric  pressure – 84.12
                    = 101.325 x 103 – 84.12
                    = 101240.88 Pa
                    = δa g h + PP ( PP = pump pressure , SW= Water density)
                    =1000 x 9.81 x 20x+PP
                    =196200 + PP Pa

P1=Absolute pressure at (1)  = Patm  +  PP + 196200
                                           = 297525 +PP Pa
V1=V2 =0 a very negligible

Substituting  is (1) where δ =δw  = 1000 Kg/ m3 in the density of water
297525 +PP/ 1000g = 101240.88/ 1000g + 27
Solving for PP , it  comes out to be

PP = 68585.88Pa

   Related Questions in Mechanical Engineering

  • Q : Working environment in Product design

    Working environment: The conditions under which the product is likely to be used, stored, and transported must be specified. The product may have to operate in conditions of extreme temperature, be subject to vibration, radiation; these conditions wil

    		•
  • Q : Difference between mill and mill-drill

    Difference between mill and mill-drill: Nowadays numerous manufactures are combining machines; a mill-drill is one of such. This is a combination of a drill and a mill, a mill eliminates stock from material (genera

    		•
  • Q : Quantity in Product design specification

    Quantity: The total quantity of the product predicted and, more importantly, the production rates and batch sizes needed, should be specified. This will have implications for the types of manufacturing equipment and work organization necessary. It wil

    		•
  • Q : Hydrostatic System Explain the term

    Explain the term Hydrostatic System?

    		•
  • Q : Advantages and disadvantages of using

    Explain advantages and disadvantages of using the LPG in Car?

    		•
  • Q : Efficient design What is meant by ‘

    What is meant by ‘efficient design’? Explain.

    		•
  • Q : Problem on mechanical efficiency of the

    The oil pump is drawing 25 kW of electric power while pumping oil with ρ = 860 kg/m3 at a rate of 0.1 m3/s. The inlet and outlet diameters of the pipe are of 8 cm and 12 cm, respectively. When the pressure rise of oil in the pump is measured to be 250 k

    		•
  • Q : ANSYS - Finite Element Analysis Hello,

    Hello, is the following project possible.

    		•
  • Q : What is wrap-around Wrap-around : The

    Wrap-around: The main aim of a wrap-a-round is to make a straight line about a pipe to help in cutting the pipe to its appropriate length. It is employed mostly as a straight edge or a template.   

    		•
  • Q : Problem on work of compression A diesel

    A diesel engine operates devoid of a spark plug by using the high-temperature gas produced throughout the compression stage to ignite the fuel. During a typical compression, pure air that is originally at 21 °C and 0.95 bar is reversibly and adiabatically compress

    		•