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Homework Help: Discharge gate equation in lablace

  1. Jun 4, 2010 #1
    The discharge of irrigation gate is
    q=Cd.W.L.sqrt[2g{h1-h2}] where q is the discharge of gate which is veriable value(dq/dt),Cd discharge constant,W is width of gate(constant value),L is opening gate control which is variable value(dL/dt),g is gravity constant,h1&h2 is up and downstream of water level of river ,I want to transphere in lablace equation to use it as a processor in controlling barages gate system .
  2. jcsd
  3. Jun 12, 2010 #2
    Firstly try setting out what you know more clearly.

    Equation for Discharge of Irrigation Gate:

    [tex]q=Cd\times W \times L \times \sqrt{2g(h_{1}-h_{2})}[/tex]


    [itex]q[/itex] = Discharge of Gate (which is variable \frac{dq}{dt})

    [itex]Cd[/itex] = Discharge Constant

    [itex]W[/itex] = Width of Gate (which is constant)

    [itex]L[/itex] = Opening Gate Control (which is variable \frac{dL}{dt})

    [itex]g[/itex] = Gravity (which is constant)

    [itex]h_{1}[/itex] = Upstream Water Level

    [itex]h_{2}[/itex] = Downstream Water Level

    Just makes it easier to see what's what when attempting to solve the problem. :smile:

    Secondly, "transphere in lablace equation" .. I presume you mean that you want to use the Laplace Equation :wink:


    Thirdly/Finally, it's a bit unclear exactly what you want to do, and also could you detail what work you have done so far on this problem.
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