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Diurnal temperature wave.

G. Salahuddin. Quraishee

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Abstract

The partial differential equation for heat diffusion is numerically integrated by the Runga-Kutta method. Solutions are obtained for the diurnal temperature variation with a bounded coefficient of eddy diffusivity which varies with the lapse rate and 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 with height. With appropriate choices of the various parameters, reasonably good agreement is obtained between theoretical and observational values of amplitude and phase lag as functions of height and time.

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What this paper is about

The partial differential equation for heat diffusion is numerically integrated by the Runga-Kutta method. Solutions are obtained for the diurnal temperature variation with a bounded coefficient of eddy diffusivity which varies with the lapse rate and 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 with height. With appropriate choices of the various parameters, reasonably good agreement is obtained between theoretical and observational values of amplitude and phase lag as functions of height and time.

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Available abstract

The partial differential equation for heat diffusion is numerically integrated by the Runga-Kutta method. Solutions are obtained for the diurnal temperature variation with a bounded coefficient of eddy diffusivity which varies with the lapse rate and 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 with height. With appropriate choices of the various parameters, reasonably good agreement is obtained between theoretical and observational values of amplitude and phase lag as functions of height and time.

Key concepts: Diurnal temperature variation, Environmental science, Meteorology, Climatology, Physics, Geology

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