SLIDE 15 КОСК-2010, ENVIROMIS-2010 15
AMK-03
A.Ya. Bogushevich, A.A. Tikhomirov “Ultrasonic weather station and their application…”
IMCES SB RAS
Covariances, turbulent parameters
1) Ev = (σu
2 + σv 2 + σw 2)/2 is the full energy of turbulent movements (σu 2, σv 2 and σw 2 are variances of three
wind velocity components u/, v/ and w/); 2) Iv = Ev /Vm
2 is the relative intensity of wind speed fluctuations (Vm is the module of the mean wind
vector); 3) ET = σT
2/ 2 is the energy of temperature fluctuations (σT 2 is a variance of the air temperature T/);
4) <u/ ·w/> is the momentum of the pulse flux (<…> is a statistical time averaging symbol); 5) <T /·w/> is the momentum of the temperature flux; 6) τ = -ρ <u/ ·w/> is the vertical momentum flux (ρ is air density); 7) H = Cp ρ <T / ·w/> is the vertical heat flux (Cp is a specific heat capacity for the constant pressure); 8) v* = (- < u/ ·w />)1/2 is the friction speed (wind scale); 9) T* = - <T / ·w />/v* is the temperature scale; 10) L* = <T>(v*)2/(χ g T*) is the Monin-Obukhov scale (χ = 0,4 и g = 9,81 m/s2); 11) Cd = (v*/<V>)2 is the resistance coefficient to a flux; 12) CT
2 = <[T /(t+Δt) - T /(t)]2>/(<Vm>Δt)-2/3 is the structural constants of temperature fluctuations (Δt is the
time interval between the magnitude measurements); 13) CV
2 = <[u/(t+Δt)-u/(t)]2>/(<Vm>Δt)-2/3 is the structural constants of wind fluctuations;
14) Cna
2 = CT 2/(2<Tk>)2+Cv 2/(<c>)2 is the structural constants of fluctuations of the acoustic index refraction
(Tk is a air temperature, inkelvin; c is the sound speed, in m/s); 15) Cno
2 = CT 2{8·10-5 <P>/<Tk>2}2 is the structural constants of fluctuations of the optical index refraction (P
is atmospheric pressure, in hPa).
Software METEO 3.0 for AMK-03 automatic weather station