Differential Relations to Fluid FlowsteemCreated with Sketch.

in steemstem •  6 years ago 

The Acceleration Vector For a Particle

The purpose of the following is to determine the acceleration of a particle over time in a flow field based on its 3 dimensional vector.


Image from the National Committee for Fluid Mechanics: Illustrate the Eulerian

Find the total Acceleration For Vector V:

V = 3ti + xzj + ty^2
part 1.jpg

Part 1 & Part 2

Find the partial derivatives (w.r.t. x, y ,z, & t) of the convective terms of the combined acceleration vector.
part 2.jpg

Part 3

Combine all four terms into the single , "total" or "substantial" derivative.
Part 3.jpg

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Bwahahahahaha, I'm sure this must be a good piece, but I'm so lost I'm running around the countryside singing "I'm going slightly mad".

lol, Yeah does my head in too. Needless to say it is hard to keep followers, I will have some stuff, if you are interested in boats, from time to time. Oh thanks for leaving a comment and a vote too, i need all I can get. :)