Mathematical Foundation
In mathematical terms, "eddy flux" is computed as a covariance between instantaneous deviation in vertical wind speed (w') from the mean value (w-overbar) and instantaneous deviation in gas concentration, mixing ratio (s'), from its mean value (s-overbar), multiplied by mean air density (ρa). Several mathematical operations and assumptions, including Reynolds decomposition, are involved in getting from physically complete equations of the turbulent flow to practical equations for computing "eddy flux", as shown below.
Read more about this topic: Eddy Covariance
Famous quotes containing the words mathematical and/or foundation:
“The most distinct and beautiful statement of any truth must take at last the mathematical form.”
—Henry David Thoreau (1817–1862)
“The Bermudas are said to have been discovered by a Spanish ship of that name which was wrecked on them.... Yet at the very first planting of them with some sixty persons, in 1612, the first governor, the same year, “built and laid the foundation of eight or nine forts.” To be ready, one would say, to entertain the first ship’s company that should be next shipwrecked on to them.”
—Henry David Thoreau (1817–1862)