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DESIGN AIDS
















                                                                                                 THERMAL RADIATION NOMOGRAM

                                                                                                                                                                                                                                                                                                                                            Thermal-Radiation





                                                                                                                                                                                                                                                                                                                                             Exchange by Nomogram









                                                                                                                                                                                                                                                                                                                                                             PAUL R. KRIKORIAN, Pembroke, Mass.



                                                                                                                                                                                                                                                                                                                                            Heat exchange between two bodies by radi­
                                                                                          REF. LINE

                                                                                                                                                                                                                                                                                                                                           ation can be calculated by the expression:











                                                                                                                                                                                                                                                                                                                                           where:



                                                                                                                                                                                                                                                                                                                                                                 Emissivity factor for gray bodies


                                                                                                                                                                                                                                                                                                                                                                 Heat exchange. Btu/hr/ft2



                                                                                                                                                                                                                                                                                                                                                                 Cold-body temperature, deg



                                                                                                                                                                                                                                                                                                                                                                 Rankine


                                                                                                                                                                                                                                                                                                                                                           = Hot-body temperature, deg


                                                                                                                                                                                                                                                                                                                                                                 Rankine



                                                                                                                                                                                                                      <Z>
                                                                                                                                                                                                                                                                                                                                                    (T           Stephan                -Boltzmann Constant
                                                                                                                                                                                                                                                                                                                                                                                                     C  Q
                                                                                                                                                                                                                                                                                                                                                                 0.173 x                        o    I


                                                                                                                                                                                                                                                                                                                                                 For an enclosed body that is small com­



                                                                                                                                                                                                                                                                                                                                           pared with the enclosing body, such as a



                                                                                                                                                                                                                                                                                                                                           piece of electronic equipment within a


                                                                                                                                                                                                                                                                                                                                           room, Fe — ep the emissivity of the en­



                                                                                                                                                                                                                                                                                                                                           closed body.


                                                                                                                                                                                                                                                                                                                                                 For an enclosed body that is large com­


                                                                                                                                                                                                                                                                         r/ft2                                                             pared with the enclosing body:




                                                                                                                                                                                                                                                                         /h                                                                                                    1

                                                                                                                                                                                                                                                                         tu                                                                                      L + X_j

                                                                                                                                                                                                                                                                         B                                                                                        ^1 C2

                                                                                                                                                                                                                            TEMPERATURE.                                 EXCHANGE,                                                         where:







                                                                                                                                                                                                                                                                                                                                                        = Emissivity of enclosed body


                                                                                                                                                                                                                                                                                                                                                 e2 = Emissivity of enclosing body



                                                                                                                                                                                                                                                                                                                                                 To use the nomogram; the emissivity
                                                                                                                                                                                                                           BODY                                          HEAT                                                              factor, Fe, first must be calculated. For





                                                                                                                                                                                                                                                                                                                                           total heat transfer, Q, in Btu/hr, multiply
                                                                                                                                                                                                                            COLD-  500                                                                                                     q by the area of the enclosed body.






                                                                                                                                                                                                                                                                                                                                                 Example: Determine the radiation ex­



                                                                                                                                                                                                                                                                                                                                                 change between a surface at 720F and a


                                                                                                                                                                                                                                                                                                                                                 surface at 240F with an emissivity factor


                                                                                                                                                                                                                                550
                                                                                                                                                                                                                                                                                                                                                 of 0.72.


                                                                                                                                                                                                                                                   4000
                                                                                                                                                                                                                                                                                                                                                 Solution: Connect Th = 720F to 7C =


                                                                                                                                                                                                                                                                                                                                                 240F. From the intersection of the



                                                                                                                                                                                                                                                                                                                                                 reference line, draw through Fe = 0.72


                                                                                                                                                                                                                                                                                                                                                 to q. Read q = 2125 Btu/hr/ft2.


                                                                                                                                                                                                                                 600
                                                                                                                                                                                                                                                    4500


                                                                                                                                                                                                                                                                                                                                           Reference:

                                                                                                                                                                                                                                                                                                                                           Brown, A. and Marco, S., Introduction to Heat


                                                                                                                                                                                                                                                                                                                                           Transfer, McGraw Hill, 3rd edition, 1958.







                                                                                                                                                                                                                                                                                                                                                                                        Paul R. Krikorian holds a degree '
                                                                                                                                                                                                                                                    5000
                                                                                                                                                                                                                                                                                                                                                                                       in Architectural Engineering

                                                                                                                                                                                                                                                                                                                                                                                       from Wentworth Inst, and a


                                                                                                                                                                                                                                                                                                                                                                                       BSME from Lowell Technologi­


                                                                                                                                                                                                                                                                                                                                                                                       cal Inst. Mr. Krikorian has


                                                                                                                                                                                                                                                                                                                                                                                       worked for the Hazeltine Corp,

                                                                                                                                                                                                                                                     5500                                                                                                                              on underwater acoustics de­


                                                                                                                                                                                                                                                                                                                                                                                       vices and for the Raytheon Co.,
                                                                                                                                                                                           —
                                                                                                                                                                                  —
                                                                                                                                                                                                                 —
                                                                                                                                                                                                     —
                                                                                                                                                                                                                                                                                                                                                                                       on underground antenna sys­
                                                                                                                                                                                                                  7000
                                                                                                                                                                                                                                   6000
                                                                                                                                                                                                      8000
                                                                                                                                                                                            9000
                                                                                                                                                                                                                                                                                                                                                                                       tems. He is self employed.
                                                                                                                                                                                   10,000
                                                                                                                                                                                                                                                               [END]
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