Page 12 - Fundamentals of The Finite Element Method for Heat and Fluid Flow
P. 12

INTRODUCTION
                        4
                                 Table 1.1
                                 in W/mK at 20 C
                                             ◦
                                                                 Thermal conductivity
                                 Material  Typical values of thermal conductivity of some materials
                                 Metals:
                                 Pure silver                             410
                                 Pure copper                             385
                                 Pure aluminium                          200
                                 Pure iron                                73
                                 Alloys:
                                 Stainless steel (18% Cr, 8% Ni)          16
                                 Aluminium alloy (4.5% Cr)               168
                                 Non metals:
                                 Plastics                                  0.6
                                 Wood                                      0.2

                                 Liquid:
                                 Water                                     0.6

                                 Gases:
                                 Dry air                     0.025 (at atmospheric pressure)


                                              Table 1.2 Typical values of heat
                                                                    2
                                              transfer coefficient in W/m K
                                              Gases (stagnant)  15
                                              Gases (flowing)    15–250
                                              Liquids (stagnant)  100
                                              Liquids (flowing)  100–2000
                                              Boiling liquids   2000–35,000
                                              Condensing vapours  2000–25,000


                        where   is the radiative property of the surface and is referred to as the emissivity. The net
                        radiant energy exchange between any two surfaces 1 and 2 is given by
                                                                 4
                                                                     4
                                                  Q = F   F G σA 1 (T − T )                  (1.5)
                                                                1    2
                        where F   is a factor that takes into account the nature of the two radiating surfaces; F G is
                        a factor that takes into account the geometric orientation of the two radiating surfaces and
                        A 1 is the area of surface 1.
                           When a heat transfer surface, at temperature T 1 , is completely enclosed by a much
                        larger surface at temperature T 2 , the net radiant exchange can be calculated by
                                                                       4
                                                                  4
                                                Q = qA =   1 σA 1 (T − T )                   (1.6)
                                                       1
                                                                  1
                                                                      2
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