The Diurnal Temperature Wave with a Coefficient of Diffusivity Which Varies Periodically with Time and Exponentially with Height
Abstract
The partial differential equation for heat diffusion is numerically integrated by the Runge-Kutta method.
Solutions are·obtained for the diurnal temperature variation with a bounded coefficient of eddy diffusivity
which varies periodically with time and exponentially with height. The surface wave is represented by the
sum of a diurnal and a semidiurnal harmonic wave. The results may be interpreted to apply over a fairly
broad range of diffusivity values and height. With appropriate choices of the various parameters, reasonably
good agreement is obtained between theoretical and observational values of amplitude reduction and phase
lag as functions of height and time.
Description
The article of record as published may be found at http://dx.doi.org/10.1175/1520-0469(1958)015<0317:TDTWWA>2.0.CO;2
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