Calculation of tank height based on flow rate

  1. hi physics forum
    i am having a issue related to a tank size based on the flow rate and the diameter of the orifice. the dimensions would be

    the total height of the setup should be 1000mm
    the flow rate should be 525+/- 25ml/min
    the Internal diameter of the orifice is 4.3mm
    what would be the probable dimensions of the tank for maintaining the water level.
     
  2. jcsd
  3. stewartcs

    stewartcs 2,279
    Science Advisor

    I'm not sure I entirely understand your question. What are you trying to achieve?

    If the flow rate out of the tank is 525 mL/min then the flow rate in to the tank must be 525 mL/min in order to keep the water level constant. The dimensions and flow rate are already set by you in your problem statement (i.e. 1000-mm height).

    The height of the fluid column (in part) is what determines the flow rate out of a tank that is open to the atmosphere. The other dimensions of the tank generally do not matter unless the tank has a really small surface area compared to the orifice diameter.

    CS
     
  4. berkeman

    Staff: Mentor

    What is the context of your question? Are you actually building this system, or is it a question for a school project/assignment?
     
  5. I am a head of engineering in a leading medical devices company.
    we are designing a system in which our medical device will be continuously under water flow.
    so the flow rate is given the orifice diameter is given
    now i want what would be the tank height
     
  6. stewartcs

    stewartcs 2,279
    Science Advisor

    Head of engineering...really?

    This is a basic fluid mechanics problem. Use Bernoulli's equation and solve for the fluid level height.

    This link should help: http://www.engineeringtoolbox.com/bernouilli-equation-d_183.html

    CS
     
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