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Derivation_of_material_acceleration

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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