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