- #1
Juliousceasor
- 25
- 0
Hallo everyone,
I am trying to find the way to solve the vertical diffusion equation for a spicies X in the atmosphere for steady state conditions (dc/dt=0).
The equation has the form,
dJ/dz -P+S=0
where J =(vs*C(z)) + rho*kz*d/dz(C(z)/rho(z)) is the flux of spicies X at height z above ground level and C is the concentration of the spicies X at height z.
P = (lambda+sigma)*C(z) is the loss of X per unit time and per volume with the unit base
area and height dz at the altitude z.
S = source term of X
vs = gravitational sedimentory velocity
rho = air density
kz = turbulant diffusion coefficient
The boundary conditions that apply are
1) at altitude z= zn
lambda*C(zn)=q*S(zn) (equilibrium between formation and decay of X)
2) J (z=0) = 0
(Basically spices X is formed at z=31 Km and distributed or diffused in the atmosphere given by the equation above)
Help is greatly appricieted!
Thanks
I am trying to find the way to solve the vertical diffusion equation for a spicies X in the atmosphere for steady state conditions (dc/dt=0).
The equation has the form,
dJ/dz -P+S=0
where J =(vs*C(z)) + rho*kz*d/dz(C(z)/rho(z)) is the flux of spicies X at height z above ground level and C is the concentration of the spicies X at height z.
P = (lambda+sigma)*C(z) is the loss of X per unit time and per volume with the unit base
area and height dz at the altitude z.
S = source term of X
vs = gravitational sedimentory velocity
rho = air density
kz = turbulant diffusion coefficient
The boundary conditions that apply are
1) at altitude z= zn
lambda*C(zn)=q*S(zn) (equilibrium between formation and decay of X)
2) J (z=0) = 0
(Basically spices X is formed at z=31 Km and distributed or diffused in the atmosphere given by the equation above)
Help is greatly appricieted!
Thanks