--%>
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 : What is critical speed What is critical

    What is critical speed?

    		•
  • Q : Centrifugal Pump and Reciprocating Pump

    Out of Centrifugal Pump or the Reciprocating Pump, which pump is more efficient?

    		•
  • Q : Define feasibility study Feasibility

    Feasibility study: In order to take wise investments in a market-place experiencing rising stages of risk, companies are turning to feasibility studies to find out if they must propose new products, services or commence a new business endeavor. The ma

    		•
  • Q : Arena Are you able to assist with these

    Are you able to assist with these two assignments in Arena simulation below? You can use the Basic Process instead of Blocks and Elements. An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times dis

    		•
  • Q : Petroleum technology theories for the

    theories for the origin of petroleum, methods for detection of petroleum deposits, fractional distillation

    		•
  • Q : Laws of Thermodynamics Describe all the

    Describe all the laws of the Thermodynamics?

    		•
  • Q : Problem on magnitude of force A

    A horizontal pipe of dimension 540 mm diameter carrying 0.6 m3/s splits into two horizontal pipes of 300 mm diameter with 60% of the flow and another of 150 mm diameter with 40% of the flow. Find out the magnitude and direction of the force

  • Q : Product appearance in Product design

    Product appearance: Strongly influenced by the Industrial Designer, the general style? of the product is significant as this will have an influence on materials and manufacturing procedures to be used. The product should be able to grab the customer's

    		•
  • Q : Excitation of Modes in Fiber A

    A multimode fiber is used to couple light into a single mode fiber. Both fibers have the same total diameter. Explain the coupling. Use equations, MATLAB, etc. if necessary. If an LED is used to excite a single mode fiber, explain the coupling of light to the fiber? U

    		•
  • Q : Powder Technology Explain the term

    Explain the term Powder Technology?

    		•