Page 146 - Modelling in Transport Phenomena A Conceptual Approach
P. 146

126          CHAPTER 4.  EVALUATION OF TRANSFER COEFFICIENTS

             4.3  Fins are used to increase the area available for heat transfer between metal
             walls and poorly conducting fluids such as gases. A simple rectangular fin is shown
             below.






















             If one assumes,

                0  T = T(z) only,
                  No heat is lost from the end or from the edges,

                0  The average heat transfer  coefficient, (h), is constant and uniform over the
                  entire surface of the fin,

                0  The thermal conductivity of  the fin, IC,  is constant,
                  The temperature of  the medium surrounding the fin, T,,  is uniform,
                 0  The wall temperature, T,, is constant,

              the resulting steady-state temperature distribution is given by






                                           A = /%
             where


             If the rate of heat loss from the fin is 478 W, determine the average heat transfer co-
                                                                      k
             efficient for the following conditions: Tm = 175 "C; T,  = 260 "C; = 105 W/ m. K;
             L = 4cm; W = 30cm; B = 5mm.
              (Answer: 400  W/ m2. K)
   141   142   143   144   145   146   147   148   149   150   151