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So it#39’s weefiveve one we startedtalkinglast week about fluid dynamics moving fluids first talking about static fluids in a container seems like an oxymoron that you could have dynamics for fluid statics or statics into dynamics but what we mean by accelerating fluids in a container is that they don't actually circulate you move the container as a function of having those that container move there'some extra forces added, and we talked about how those would be both in linear acceleration as you shift it example with the oil cars while you might want them flared it, but both back ends because of the headspace and also rotational good we used the expression that we have for forces acting on packet of fluid both in linear acceleration and then in rotational acceleration to be able to define the forces that were applied yes I'm done#39;twant to do that I guess I can't go Blackwell that's fine I'm going to stop that, and so we we talked about Renu's equation which allowed us to be able to say something about how fluids move when they move along a stream in 4/3 we also talked about rotational acceleration so what IN#39’d like to do today is recap maybethe main points from both those two key discussions we had what about fluids along a streamline and secondly fluid pressures how they vary normal to streamline and then we#39’ll talk todayabout free jets and continuity and try and apply Bernoulli's law to be able to quantify some problems that we'like to know something about so just to very briefly recap what we talked about most of the work we'll do to define behavior along a streamline and so that streamline could be for instance something that goes we#39’ve drawnthis a couple of times around an airfoil not a very well drawn airfoil, but the idea is that along this streamline pecan define behaviors along its length, and we can write conditions at an upstream and a downstream location Andre know from Bernoulli#39’s equation thatwe can sum up all the components some parts we haven't talked about, yet we know that the magnitude of the per new expression is constant along this streamline, and so we could write it at two points and the component should be equivalent to each other we know that for a Bernoulli#39’s equation I guess Icould make this full screen we know that for renewals equation the requirements are one that is incompressible — its irrotational so noEddie'’s let's call this no Eddie'antherehe third one is the most well therefore its steady state and the most important one is it is in viscid in other words dynamic viscosity or kinematic viscosity approaches zero if this is the case then this certainly is completely true in which case we can write it between an upstream location so by convention we always write it upstream on the Left downstream on the right it doesn't#39;tmatter of course if it's inviscidbecause we're done#39’t have any otherbut if there are viscous losses what#39’ll find out is that we can adthose viscousus losses somehow...
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