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)

    The next Augustan age will dawn on the other side of the Atlantic. There will, perhaps, be a Thucydides at Boston, a Xenophon at New York, and, in time, a Virgil at Mexico, and a Newton at Peru. At last, some curious traveller from Lima will visit England and give a description of the ruins of St Paul’s, like the editions of Balbec and Palmyra.
    Horace Walpole (1717–1797)