Тепловые и физико-химические процессы применительно к газовым плавильным печам. Черный А.А. - 13 стр.

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13
;
x
yx
b
N
u
u,s
u
N
u
u,s
s
=
=
=
1
2
2
1
2
2
;
)(
,
,
,,
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=
=
=
N
u
us
un
u
N
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usun
sn
xx
yxx
b
1
2
2
1
1
21
21
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b
N
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u,s
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u
N
u
u,su,n
s,n
=
=
=
1
2
1
2
1
12
12
;
)xx(
yxx
b
N
u
u,s
u,r
u
N
u
u,su,r
s,r
=
=
=
1
2
2
1
1
21
21
;
)xx(
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=
1
2
1
2
1
12
12
;
)xx(
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b
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u
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=
=
1
2
2
1
1
21
21
;
x
yx
b
N
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u
N
u
u,w
w
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=
=
1
2
1
1
1
1
;
x
yx
b
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u
u,w
u
N
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u,w
w
=
=
=
1
2
2
1
2
2
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)xx(
yxx
b
N
u
u,w
u,n
u
N
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=
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1
2
2
1
1
21
22
;
)xx(
yxx
b
N
u
u,w
u,n
u
N
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u,wu,n
w,n
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=
=
1
2
1
2
1
12
12
;
)xx(
yxx
b
N
u
u,w
u,r
u
N
u
u,wu,r
w,r
=
=
=
1
2
2
1
1
21
21
;
)xx(
yxx
b
N
u
u,w
u,r
u
N
u
u,wu,r
w,r
=
=
=
1
2
1
2
1
12
12
;
)xx(
yxx
b
N
u
u,w
u,s
u
N
u
u,wu,s
w,s
=
=
=
1
2
2
1
1
21
21
;
)xx(
yxx
b
N
u
u,w
u,s
u
N
u
u,wu,s
w,s
=
=
=
1
2
1
2
1
12
12
;
)xx(
yxx
b
N
u
u,w
u,w
u
N
u
u,wu,w
w,w
=
=
=
1
2
2
1
1
21
21
где
x
1n,u
= x
n
1,u
+v
1
; x
1r,u
=x
r
1,u
+a
1
x
n
1,u
+c
1
;
x
1s,u
= x
s
1,u
+d
1
x
r
1,u
+e
1
x
n
1,u
+f
1
;
                  N                                       N
                 ∑ x2 s ,u ⋅ yu                           ∑ x1n,u ⋅ x2 s,u ⋅ yu
                 u =1                                    u =1
       b2 s =           N
                                         ; b1n, 2 s =      N
                                                                                        ;
                       ∑      x22s ,u                     ∑ ( x1n,u ⋅ x2 s,u ) 2
                       u =1                               u =1

                        N                                               N
                       ∑ x2n ,u ⋅ x1s ,u ⋅ yu                        ∑ x1r ,u ⋅ x2 s ,u ⋅ yu
                       u =1                                          u =1
       b2 n ,1s =       N
                                                     ; b1r ,2 s =     N
                                                                                                    ;
                       ∑ ( x2n ,u ⋅ x1s ,u )     2
                                                                     ∑ ( x1r ,u ⋅ x2 s ,u )     2

                       u =1                                          u =1


                       N                                              N
                       ∑ x2r ,u ⋅ x1s ,u ⋅ yu                        ∑ x1s ,u ⋅ x2 s ,u ⋅ yu
                       u =1                                          u =1
       b2 r ,1s =       N
                                                     ; b1s ,2 s =     N
                                                                                                    ;
                       ∑ ( x2r ,u ⋅ x1s ,u )     2
                                                                     ∑ ( x1s ,u ⋅ x2 s ,u )     2

                       u =1                                          u =1
                  N                                                    N
                 ∑ x1w,u ⋅ yu                                         ∑ x2 w,u ⋅ yu
                 u =1                                                 u =1
       b1w =            N
                                         ;               b2 w =              N
                                                                                        ;
                       ∑ x12w,u                                             ∑ x22w,u
                       u =1                                                u =1
                       N                                                  N
                       ∑ x1n ,u ⋅ x2 w ,u ⋅ yu                          ∑ x2n ,u ⋅ x1w,u ⋅ yu
                       u =1                                             u =1
      b2 n ,2 w =       N
                                                     ; b2 n ,1w =        N
                                                                                                        ;
                       ∑ ( x1n ,u ⋅ x2 w,u )     2
                                                                          ∑ ( x2n ,u ⋅ x1w,u )      2

                       u =1                                               u =1

                  N                                                 N
                 ∑ x1r ,u ⋅ x2 w,u ⋅ yu                            ∑ x2r ,u ⋅ x1w,u ⋅ yu
                 u =1                                              u =1
  b1r ,2 w =      N
                                                 ; b2 r ,1w =       N
                                                                                                    ;
                 ∑ ( x1r ,u ⋅ x2 w,u )2                             ∑ ( x2r ,u ⋅ x1w,u )2
                 u =1                                              u =1
                 N                                                 N
                ∑ x1s ,u ⋅ x2 w,u ⋅ yu                           ∑ x2 s ,u ⋅ x1w,u ⋅ yu
                u =1                                             u =1
 b1s ,2 w =      N
                                                 ; b2 s ,1w =     N
                                                                                                ;
                ∑ ( x1s ,u ⋅ x2 w,u )        2
                                                                   ∑ ( x2 s ,u ⋅ x1w,u )    2

                u =1                                               u =1
                N
                ∑ x1w,u ⋅ x2 w,u ⋅ yu
                u =1
b1w ,2 w =       N
                                                 ;
                ∑ ( x1w,u ⋅ x2 w,u )         2

                u =1
где
                                        x1n,u = xn1,u+v1; x1r,u=xr1,u+a1⋅xn1,u+c1;
                                            x1s,u = xs1,u+d1⋅xr1,u+e1⋅xn1,u+f1;
                                                              13