1957 Volume 35A Pages 156-159
As the cause of the diurnal change in barometric pressure, the author proposes two elementary changes: the thermal effect Δp and the dynamical effect Δπ, i.e. dp(τ) = Δp(τ) + Δπ(τ). Here, dp(τ) is the diurnal variation in barometric pressure and
Δp=c·∂2θ(τ)/∂τ2=2cβθ02{β(τ-13)2-1}e-β(τ-13)2
Δπ=c·ΔPh=-c·(ρu{u0e-r(τ-3)2+u-u)h}
where c, β, γ and c, u are all constants, θ0 and u0 the diurnal ranges of air temperature and upper wind speed respectively, ρ and u the mean density and mean wind speed in upper air layer respectively, e the Napier's constant and τ the local time.