>e  !1."System-"System #P--"System--"System--"System--"System--"System-- .#@Times New Roman---@"Arial------------  2 K#.  --- A2 K$#. A CATALOG OF RADIATION HEAT TRANSFER  2 K#.   ------ +2 h#. CONFIGURATION FACTORS---  2 h:#.   @"Arial---@Times New Roman------------  2 v#. John R. Howell   ---  2 #.    2 #.   --------- 72 *#. University of Texas at Austin         ---  2 #.   ------  2 #.  ---  2 #.     .#eA XX(XTL\Td\tl|Ĕ̤ԤĜĜ|̔̔ĔČĔČĔ||ĔČČ|tttdTTTTL|d|l̜ԤĜ̜̜̔llllldddd\d\l\TLLL\T\\ttĄĄ\\\T\dd\|||||tt|||t|lldT\Tdlddt||t|l|ttttlt|d\Ll\ltlttltdldlll|l|t\t\lTdTdL\Ldldtdt\ddT\l\l\ttd\Lt\L!!!!u!u!u t  tu    tu     u  u  t     Btt            u tt ;+ ttut    t t tutt t         tBt                t                ''('q@$ - --- -        )    )    ))   )++)          +++++,++,+,+) )))      '          * *')Sq$$v$57@  !!      tttu t   uuutt   t;tBtt     t;          tttt t         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  :     ;::::< ;;;;    ! !"#$$$$%& '( ''       ) ))*)))))  )    '*       *        * )' )'**)       )'''''' )+,++++* '))''''''+,+,+,+')+)+++++'''** ** )'       ----                                                                   !  ! !!!!!''---  2 #.   ------ 2 ^ #. REFERENCES---  2 #.   @Times New Roman--- 2 R#. Abishek, S., Srinivasa Ramanujam, K. and Katte, S.S., 1995, "View Factors between                      @Times New Roman------------ X2 T3#. Disk/Rectangle and Rectangle in Parallel and Perpen              #2 #. dicular Planes,"     --- "2 ,#. J. Thermophsics   --- 2  #. , vol. 21,  ------  2 T#. no. 1, pp. 236    2 #. - 2 #. 239.---  2 #.   $V@Times New Roman--- t2 3FV$Derives factors by contour integration, and presents final analytical   2 EPV$expressions. The resulting expressions contain integrals that must be evaluated     M2 X,V$numerically. Numerical integrations are carr    D2 X&V$ied out for particular cases, and the   2 jOV$results are correlated and expressions are presented for various ranges of the   2 |SV$geometric parameters. Error ranges and correlation coefficients are given for each     --- 2  V$correlation. ---  2 V$  '   --- .#-- $- - '- - @ !- - @ !-  - @ !n-   - @ !-  - @ !-   - @ !-   - @ !-   - @ !-  - @ !-  - @ !n-   - @ !- - @ !-   - '---  2 #.   --- }2 L#. Alexandrov, V.T., 1965, "Determination of the angular radiation coefficients                2 #.   2 #. for a  --------------------- L2 T+#. system of two coaxial cylindrical bodies,"       ---  2 r#. Inzh. Fiz. Zh.    --- /2 #. , vol. 8, no. 5, pp. 609    2 [#. - 2 `#. 612.---  2 |#.    2 #.   HZ--- w2 HZHUses numerical integration of fundamental defining relation between two       2 VZHelements to find factor from inner surface of outer coaxial cylinder to outer surface     2 ZHof  2 PZHinner directly opposed cylinder of the same finite length. Closed form is found      2  ZHfor outer  2 ZH- .2 ZHouter factor, and outer  2 ZZH- 2 _ZHto  2 kZH- R2 p/ZHinner finite area factor is found by numerical    2 2SZHintegration. Configuration factor algebra is then used to obtain factor from inner    --- 2 E ZHcylinder  )2 EZHto annular ring end.  2 EDZH ---  2 EHZH  '    --- .#-- $WZZWW- - '- - @ !W- - @ !W-  - @ !nW-   - @ !W-  - @ !W-   - @ !X-   - @ !X-   - @ !Y-  - @ !Y-  - @ !nY-   - @ !Y- - @ !Y-   - '---  2 ]#.     2 m#.   --- ^2 T7#. Alciatore, David and Lipp, Stephen, 1989, "Closed form             82 #. solution of the general three       --------- 2 TQ#. dimensional radiation configuration factor problem with microcomputer solution,"                   --- 2  #. Proc. 26th   --------------- 72 T#. National Heat Transfer Conf.,       ---  2 #.   (2 !#. Philadelphia, ASME.     ---  2 #.    2 #.     2 T#.    2 X#.    2 \#.   ^--- j2 ?^Presents general algorithm for finding factor between any three     2 X^-  #2 ^dimensional cont  m2 A^our and a differential element. Formulation is based on the unit      )2 ^sphere technique of   2 ^Nusselt (1928)  M2 n,^. Results of computer implementation of the     @Times New Roman- - - - @ !^-  --- q2 D^method are compared with exact formulation for element to a polygon.     ---  2 T^  '    ^------  2 ^  ---  2 ^   '    --- .#-- $,//,,- - '- - @ !,- - @ !,- - @ !n,-  - @ !,- - @ !,-  - @ !--  - @ !--  - @ !.- - @ !.- - @ !n.-  - @ !.- - @ !.-  - '---  2 2#.     2 A#.   --- 2 STO#. Alfano, G. and Sarn , A., 1975, "Normal and hemispherical thermal emittances of                   2 S#.   2 S #. cylindrical   ------------ 2 fT #. cavities,"  --- %2 f#. J. Heat Transfer,   ---  2 f #.   .2 f #. vol. 97, no. 3, pp. 387    2 f#. - 2 f #. 390, August.  ---  2 f#.    2 f#.     2 xT#.    2 xX#.    2 x\#.   ^--- y2 I^Gives factors from a differential element on and normal to the axis to a      2 S^differential ring element on the interior of a concentric right circular cylinder;    %2 ^from a differenti  n2 B^al element to a circular ring element on a parallel disk when the      2 S^element is on the disk axis; from the interior surface of a circular cylinder to a     2 N^differential element on and normal to the cylinder axis; and from a disk to a      72 ^differential element which is    2 D^  V2 I2^on and normal to the disk axis. All are in closed    --- 2 ^form.   2 ^ ---  2 ^  '   '"System--"System--"System--   "Arial--  00//..