prof. s.shustov ssau, samara heat simulation of re-entry capsule yes2
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Prof. S.Shustov SSAU, Samara
Heat Simulation of re-entry capsule YES2
Flow temperature
The physical and mathematical model incorporated in a basis of the electronic directory, represents system of the nonlinear equations of a kind:
The conditional chemical formula of a working body (1)
(j=1,2,3…l , i=1,2,3…m) (2)
(j=1,2,3…l) (3)
(4)
где bit – quantity of atoms i-го a chemical element;МT – number mols fuel;pq – partial pressure, q = j + i;aij – number of atoms i-го a chemical element in component j;Kj – a constant of balance for reaction dissociation j-го a component on atoms.
AAAm
bbb mttt...
21
21
l
jjijiitT papbM
1
pppp
Kj
a
m
aa
j
mjjj
T...
21
21
ppq
q
TfTR
IIa
R
SSaK i
jiiji
jiij
j
0
00
0
00
ln
The linear system represents the following system of the equations:
1)
2)
3)
q=lnpq (q=l+m) ;M=lnMT;nq – number mols q-го a component in a mix.
, ji
iijj a ,,...3,2,1 lj
Kpapjijj ij lnlnln
BBnna iiMiiijjj
ij ,,...3,2,1 mi
nnaB jjj
iji
bMB iTTii lnlnln
pp pqq
q 1 mlq
qqpp
ppp lnln