Calculating Spring Force for Fluid Control Regulator

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To calculate the spring force for a back pressure regulator, the required force must exceed 93 Newtons to open the ball valve at a back pressure of 3 bar. The bore diameter of 2 mm results in an area of approximately 3.1 mm², which is crucial for determining the necessary force. A freebody diagram should be applied to the sensing element, accounting for the poppet and spring, as well as the diaphragm element area. The poppet area is significant and must be included in calculations, as it affects the cracking pressure and flow characteristics. Understanding how to calculate flow from Cv is also essential for optimizing the regulator's performance.
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I need to calculate the spring force required to make a back pressure regulator for fluid control the back pressure must exceed 3bar to open the ball valve the flow rate is 82mls/per min. the bore dia of the inlet is 2 mm dia. any help greatly appreciated
 
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3 bar is 300000 N/m2 and your bore has an area of approximately 3.1 mm2= .00031 m2 so you are talking about a force of approximately 93 Newtons. The flow rate is irrelevant.
 
Apply a freebody diagram to your sensing element, including poppet and spring. Diaphragm element area can be estimated by using the average diameter of backing plate diam and clamped diam at body. Don't forget to include poppet area as this is generally significant. Spring load then determines cracking pressure and 'droop'. You need to then determine valve lift above cracking pressure which produces a flow. Is that what you need? Are you familiar with calculating flow from Cv?
 

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