220
dzj
DZR = -z--
The following are definitions for coefficients used in the equations
used when moving in the forward direction:
PwjCpw,jDL,j
KC1 = 2 Aj (0j-1,n+1 O,nl)
cpv,jDvj
+ -2 j (Pvj-l,n+- Pvj,n+l)
P jpw,jDL,j
KC2 = 2 j ( +ln 0J,n)
cpv,jDvj
+ 2 Aj (Pvj+l,n" Pvj,n)
Forward direction: z = 0
energy: (A-1)
dzj
TJ,-1 = Xj(l KC2 + Bi)Rn,+l1 + (1 KC2 + Bi)Ta,n+1
1 + KC2
+ (1 KC2+ Bi) Tj+,n1
water: (A-2)
dzj
Oj,n+l = 6j+1,n+1 + D Pn+1
LJ
vapor: (A-3)
Bim 1
Pvj+1,n+1 = (1 + Bi) Pva,n+ + (1 + Bim) Pvj+1,n+1
The conservation of energy, water and water vapor are formulated by
setting the time rate of change of the state variable equal to the sum
of the flows from the surrounding nodes minus any sink terms. Latent
heat associated with the phase change from liquid to vapor is a heat
sink term for the energy equation. The vapor equation was solved for
the rate of evaporation at each node and the vapor density was