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Thermal Analysis                                                            331



                                                        All dimensions are in millimeters.

                                                                    40.000      4.000










                                                                               100.000


                                                                            4.000



                                                         26.000
                                                                            30.000


              9.3  Determine the temperature and heat flux distributions inside the following heat
                 transfer pipe with internal ribs. A bulk temperature of 80°C and 20°C with a film
                 coefficient of 100 W/(m °C) and 30 W/(m °C) is specified for the interior and exte-
                                     2
                                                     2
                 rior convective heat transfer, respectively. Assume that the pipe is 30 cm long with
                 a thermal conductivity of 230 W/(m K) and that the two ends of the pipe are per-
                 fectly insulated.


                                                          All dimensions are in centimeters.
                                                                         0.450
                                                                                R5.500
                                                                         R5.000

                                                     0.450                        0.450
                                                                 2.500
                                                                       2.500
                                                                2.500
                                                                      2.500





                                                               0.450



              9.4  A  10 cm  thick  perforated concrete slab is  shown  below. The  concrete has  a
                 thermal conductivity  k = 1.0 W/(m K),  Young’s  modulus  E = 29 GPa,  Poisson’s
                                                                      −6
                 ratio ν = 0.15, and thermal expansion coefficient α = 11 × 10 /°C. The bulk tem-
                 perature of the fluid inside the circular perforated holes is 60°C with a film
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