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)

    “It is possible—indeed possible even according to the old conception of logic—to give in advance a description of all ‘true’ logical propositions. Hence there can never be surprises in logic.”
    —Ludwig Wittgenstein (1889–1951)