Engineering Flow through hinged hatch on inclined wall

AI Thread Summary
The discussion focuses on deriving an expression for flow (Q) through a hinged hatch on an inclined wall. An initial equation using the orifice equation has been established, but it does not account for the angle of inclination. Participants suggest that the flow at the bottom can be related to the adjacent side of a triangle formed by the angle alpha. A trigonometric ratio is proposed as a potential method to express this bottom side. The conversation seeks further assistance in developing a comprehensive flow equation that incorporates the angle.
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
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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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