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okay today were going to talk about an introduction to integral equations now weve already looked at a variety of other ways of looking at fluids today were going to try and get to the big picture now previously youve looked at statics that was a pretty boring situation where the fluid wasnt moving at all the velocity was equal to zero and if we took that simple situation we found that the pressure difference was equal to the density times gravity times the difference in elevation so what that told us was there was a balance between gravitational forces going down pressure force is going up that allowed an individual little element in the fluid lets draw one right here to not be accelerating either downwards or upwards because gravity was pulling it down and the pressure being a little higher on the bottom than it was on the top was pushing it up so everything was in balance not very interesting but often very useful then we looked at navier stokes equations those differential e
