Calculation of tank height based on flow rate

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Discussion Overview

The discussion revolves around determining the appropriate dimensions of a tank based on a specified flow rate and orifice diameter. The context includes practical applications in engineering, particularly in designing a system for a medical device that requires continuous water flow.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant presents a scenario with a total height of 1000mm, a flow rate of 525±25ml/min, and an orifice diameter of 4.3mm, seeking to determine the tank dimensions necessary to maintain water level.
  • Another participant suggests that to keep the water level constant, the inflow must match the outflow, implying that the height of the fluid column influences the flow rate out of the tank.
  • A different participant questions the context of the inquiry, asking whether it pertains to a practical system or an academic assignment.
  • A participant identifies themselves as a head of engineering, clarifying that the inquiry is related to designing a medical device that operates under continuous water flow.
  • One response indicates that the problem is basic fluid mechanics and suggests using Bernoulli's equation to find the fluid level height, providing a link for further reference.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and context regarding the problem, with some suggesting practical approaches while others question the nature of the inquiry. No consensus is reached on the specific dimensions of the tank.

Contextual Notes

Participants have not fully clarified the assumptions regarding the relationship between tank dimensions and flow rate, nor have they resolved the implications of the orifice diameter on the overall system design.

csrkrishna
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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.
 
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csrkrishna said:
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.

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 into 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
 
csrkrishna said:
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.

What is the context of your question? Are you actually building this system, or is it a question for a school project/assignment?
 
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
 
csrkrishna said:
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

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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