Fluid flow is established in response to an external action mediated by boundary motion, by the application of a surface force, or by the presence of a body force. The evolution of a transient flow and the structure of a steady flow established after an initial start-up period are governed by two fundamental principles of thermodynamics and classical mechanics: mass conservation, and Newton’s second law for the motion of fluid parcels. The implementation of Newton’s law in fluid mechanics leads to Cauchy’s equation of motion, which provides us with an expression for the point particle acceleration in terms of the stresses, and to the vorticity transport equation governing the point particle rate of rotation. The derivation and intepretation of these equations in general and specific forms, and their solution for simple flow configurations will be the theme of our discussion.
KeywordsReynolds Number Froude Number Vorticity Vector Index Notation Irrotational Flow
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