Derivation_of_material_acceleration - Derivation of...

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Derivation of Material Acceleration (Section 4-1, Çengel and Cimbala) Recall the chain rule : If f is a function of two variables, t and some variable s which is itself also a function of t , then we take the total derivative of f with respect to t as follows: df f dt f ds f f ds dt t dt s dt t s dt ∂∂ =+= + Now let’s apply this chain rule to the time derivative of the fluid particle’s velocity: Thus, the acceleration of a fluid particle is calculated using the chain rule as follows:
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This note was uploaded on 07/23/2008 for the course ME 33 taught by Professor Cimbala during the Fall '05 term at Pennsylvania State University, University Park.

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