MHB What is the Formula for Calculating Acceleration in Different Cases?

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To calculate acceleration in different cases, the local acceleration can be determined using the formula a_local = ∂v/∂t, where v is the velocity field. The acceleration due to transport is given by a_transport = v · ∇v, which accounts for the change in velocity along a path. The total acceleration combines both local and transport components, expressed as a_total = a_local + a_transport. Understanding these formulas is essential for analyzing fluid dynamics at a specific time, such as t=0. Utilizing educational resources, like instructional videos, can further clarify these concepts.
mathmari
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Hey! :o

We were given a velocity field and we have to calculate the vector field of the local acceleration, the acceleration because of the transport and the total acceleration at the time $t=0$.

Could you tell me the formula at each case?? (Wondering)
 
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mathmari said:
Hey! :o

We were given a velocity field and we have to calculate the vector field of the local acceleration, the acceleration because of the transport and the total acceleration at the time $t=0$.

Could you tell me the formula at each case?? (Wondering)

Hi mathmari,

I have limited knowledge about this subject, but I think the following video will help you in this question.

​
 

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