I am attempting to develop a simple model of the compression process for a scroll-type vacuum pump. I would like to calculate the volume reduction in a single compression pocket as the pocket travels from inlet to exhaust (outside wrap to center.)
I believe this should be possible given the parametric equations shown, which define the inner wall of the fixed scroll and outter wall of the orbiting scroll. Can the area be calculated simply by integrating these equations through the pinch point angles B and A? My calculus is very rusty - any help performing this integral (if my theory is correct) would be much appreciated. I have MATLAB and Mathcad available for use, but have close to no experience using either software.
I believe this should be possible given the parametric equations shown, which define the inner wall of the fixed scroll and outter wall of the orbiting scroll. Can the area be calculated simply by integrating these equations through the pinch point angles B and A? My calculus is very rusty - any help performing this integral (if my theory is correct) would be much appreciated. I have MATLAB and Mathcad available for use, but have close to no experience using either software.