Abstract
AbstractThis chapter introduces the transport equations of motion without the consideration of turbulence. Continuity, momentum, passive scalar, and vorticity transport equations are discussed. In the development of the transport equations, the concept of fluid element deformation is defined, where each parcel of fluid in the flow can be understood as being deformed via a combination of translation, linear strain, shear strain, and rotation mechanisms. Finally, the idea of similitude and non-dimensional transport equations is presented, where the transport equations are non-dimensionalized for characterizing their general behaviour. The concept of similarity for two systems involves geometric, kinematic, and/or dynamic similarities between them.
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