1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Hydrodynamics homework help

  1. Mar 18, 2006 #1
    Sir,
    A tank is filled with water (density 1000 kg/m^3) and oil(density 900 kg/m^3). The height of water layer 1 metre and that of oil layer is 4 metre. If g=9.8 m/s^2, then what is the velocity of efflux from an opening at the bottom of the tank?
    I solved it the following way.
    Let d1 be the density of water and d2 be the density of oil. Let h1 and h2 be the height of water and oil layer respectively.
    Total pressure head = Pressure head due to 1 metre water + Pressure head due to 4 metre oil
    =[ h1d1g]/[d1g] + [h2d2g]/[d1g]
    = h1 + [h2d2]/d1
    = 1 + [4x900]/1000
    = 4.6 metres of water column
    Pressure energy is converted into kinetic energy.
    P = ½(d1)(v^2)
    [4.6x1000xg]= ½(1000)(v^2)
    v^2 = 2x4.6x9.8
    v = 9.5 m/s^2
    Is it right? Here the symbol ^ denotes power.
     
    Last edited by a moderator: Mar 7, 2013
  2. jcsd
  3. Mar 20, 2006 #2

    Andrew Mason

    User Avatar
    Science Advisor
    Homework Helper

    Your units are not right and you are overlooking atmospheric pressure. The net force acting on the water is difference between tank pressure and atmospheric pressure x area of the opening.

    The potential energy density of the water at the opening is [itex]P_{tank}[/itex]. The potential energy density of the water outside the opening is given by the ambient (atmospheric) pressure [itex]P_a[/itex]. By conservation of energy (ie. Bernouilli's equation) pressure difference is converted into a Kinetic energy density of the water ([itex]KE/V = KE\rho_w/m = \frac{1}{2}\rho_w v^2[/itex]

    So:
    [tex]P_{tank} - P_a = \frac{1}{2}\rho_w v^2[/tex]

    AM
     
  4. Mar 20, 2006 #3
    Why is no one responding to my question?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Hydrodynamics homework help
Loading...