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:

    “What he loved so much in the plant morphological structure of the tree was that given a fixed mathematical basis, the final evolution was so incalculable.”
    —D.H. (David Herbert)

    “An intentional object is given by a word or a phrase which gives a description under which.”
    —Gertrude Elizabeth Margaret Anscombe (b. 1919)