Газодинамические и тепловые процессы сжигания газообразного топлива применительно к шахтным чугуноплавильным печам. Черный А.А. - 59 стр.

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                 N                                                         N
              ∑ x1n ,u ⋅ x2n ,u ⋅ yu                                      ∑ x1n ,u ⋅ x3n ,u ⋅ yu
              u =1                                                        u =1
 b1n ,2 n =    N
                                            ;            b1n ,3n =         N
                                                                                                            ;
               ∑ ( x1n ,u ⋅ x2n ,u )    2
                                                                          ∑ ( x1n ,u ⋅ x3n ,u )     2

               u =1                                                      u =1
                 N                                                      N
                 ∑ x2n,u ⋅ x3n,u ⋅ yu                                ∑ x1n ,u ⋅ x2n ,u ⋅ x3n ,u ⋅ yu
                 u =1                                                u =1
 b2n,3n =          N
                                                ; b1n ,2 n ,3n =      N
                                                                                                                        ;
                 ∑ ( x2n,u ⋅ x3n,u )        2
                                                                     ∑ ( x1n ,u ⋅ x2n ,u ⋅ x3n ,u )                 2

                 u =1                                                u =1
         N                                                          N
        ∑ x1r ,u ⋅ y u                                              ∑ x2r ,u ⋅ yu
b1r = u =1 N                    ;                        b2 r =    u =1
                                                                           N
                                                                                            ;
             ∑       x12r ,u                                              ∑      x 22r ,u
             u =1                                                         u =1


          N                                                                N
          ∑ x3r ,u ⋅ yu                                                   ∑ x1n ,u ⋅ x2r ,u ⋅ yu
         u =1                                                             u =1
 b3r =          N
                                    ;                    b1n ,2 r =        N
                                                                                                            ;
              ∑       x32r ,u                                             ∑ ( x1n ,u ⋅ x2r ,u )         2

              u =1                                                        u =1
               N                                                          N
              ∑ x1n ,u ⋅ x3r ,u ⋅ yu                                      ∑ x2n ,u ⋅ x1r ,u ⋅ yu
              u =1                                                        u =1
 b1n ,3r =     N
                                            ;            b2 n ,1r =        N
                                                                                                            ;
              ∑ ( x1n ,u ⋅ x3r ,u )     2
                                                                          ∑ ( x2n ,u ⋅ x1r ,u )         2

              u =1                                                        u =1




                 N                                                  N
              ∑ x2n ,u ⋅ x3r ,u ⋅ yu                               ∑ x3n ,u ⋅ x1r ,u ⋅ yu
              u =1                                                 u =1
 b2 n ,3r =    N
                                            ;      b3n ,1r =        N
                                                                                                    ;
               ∑ ( x2n ,u ⋅ x3r ,u )    2
                                                                   ∑ ( x3n ,u ⋅ x1r ,u )        2

               u =1                                                u =1
               N                                                   N
              ∑ x3n ,u ⋅ x2r ,u ⋅ yu                               ∑ x1n ,u ⋅ x2n ,u ⋅ x3r ,u ⋅ yu
              u =1                                                 u =1
 b3n ,2 r =    N
                                            ; b1n ,2 n ,3r =        N
                                                                                                                    ;
               ∑ ( x3n ,u ⋅ x2r ,u )    2
                                                                   ∑ ( x1n ,u ⋅ x2n ,u ⋅ x3r ,u )               2

               u =1                                                u =1
                  N
                  ∑ x1n ,u ⋅ x3n ,u ⋅ x2r ,u ⋅ yu
                 u =1
b1n ,3n ,2 r =    N
                                                          ;
                    ∑ ( x1n ,u ⋅ x3n ,u ⋅ x2r ,u )   2

                    u =1




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