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- W3023278806 abstract "The dependent field variables used to characterize moving and stationary fluids are scalars, vectors, and second-order tensors. In three spatial dimensions, scalars (like density) can be described by a single number; vectors (like velocity) can be described by three components, one for each orthogonal spatial direction; and second-order tensors (like stress) can be described by nine components, one for each pair of spatial directions. Although the meanings of vectors and second-order tensors that represent physical quantities are independent of the orientation of the coordinate system in which they are resolved, their components do change when coordinate axes are rotated. The equations for fluid motion include a variety of algebraic and differential relationships involving scalars, vectors, and second-order tensors. Index notation is the preferred means for specifying these relationships and operations, especially when the gradient operator (vector derivative) is involved. In addition, integrals of flow-field quantities along curves, on surfaces, and within volumes in two and three dimensions must follow certain relationships." @default.
- W3023278806 created "2020-05-13" @default.
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- W3023278806 date "2016-01-01" @default.
- W3023278806 modified "2023-09-25" @default.
- W3023278806 title "Cartesian Tensors" @default.
- W3023278806 doi "https://doi.org/10.1016/b978-0-12-405935-1.00002-2" @default.
- W3023278806 hasPublicationYear "2016" @default.
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