Flow through hinged hatch on inclined wall

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SUMMARY

The discussion focuses on deriving an expression for flow (Q) through a hinged hatch on an inclined wall using the orifice equation. The user has successfully formulated the flow equation based on the inclined area but seeks assistance in incorporating the angle of inclination into the flow expression. The suggestion involves utilizing trigonometric ratios to express the flow in relation to the adjacent side of the triangle formed by the angle alpha.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the orifice equation
  • Basic trigonometry, specifically sine and cosine functions
  • Knowledge of inclined plane mechanics
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  • Study trigonometric functions and their application in engineering problems
  • Explore fluid flow analysis techniques for inclined surfaces
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Engineers, fluid mechanics students, and professionals involved in designing systems with inclined surfaces and flow control mechanisms.

Kapper
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Homework Statement
I have a tank, where I want to determine the outflow through an orifice. The problem is that the orifice opening is controlled by a hatch with varying angles dependent on the sum of torques.
Relevant Equations
Orifice equation
1670797437614.png

So far I have only been able to come up with an equation for the flow (Q) using the orifice equation through the inclined area and thus not dependent on the angle.

Can someone help me with an expression for this?
 
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Would not the flow out the bottom be the adjacent side of triangle with angle alpha? You could use a trig ratio to express that bottom side.
 

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