Basically I have a horizontal tank with elliptical heads on each end. Given any liquid height, I would like to calculate the surface area which is in contact with the liquid.(adsbygoogle = window.adsbygoogle || []).push({});

The heads can be represented by a general oblate spheroid described by equation (x^{2}+ y^{2})/a^{2}+ z^{2}/c^{2}= 1.

I can compute the partial surface area for z=XXX to YYY by taking the surface of revolution about the z-axis (ie for a vertical tank).

However how can I calculate the partial surface area for x=XXX to YYY?

I am not looking for a closed form equation, just something I can numerically integrate.

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# Partial Surface Area of Oblate Spheroid?

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