Pressure Gradient - Mathematical Description

Mathematical Description

Assuming that the pressure p is an intensive quantity, i.e., a single-valued, continuous and differentiable function of three-dimensional space (often called a scalar field), i.e., that

where x, y and z are the coordinates of the location of interest, then the pressure gradient is the vector quantity defined as


\nabla p = \begin{pmatrix}
{\frac{\partial p}{\partial x}},
{\frac{\partial p}{\partial y}},
{\frac{\partial p}{\partial z}}
\end{pmatrix}

Read more about this topic:  Pressure Gradient

Famous quotes containing the words mathematical and/or description:

    The most distinct and beautiful statement of any truth must take at last the mathematical form.
    Henry David Thoreau (1817–1862)

    Once a child has demonstrated his capacity for independent functioning in any area, his lapses into dependent behavior, even though temporary, make the mother feel that she is being taken advantage of....What only yesterday was a description of the child’s stage in life has become an indictment, a judgment.
    Elaine Heffner (20th century)