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:

    “It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.”
    —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)