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1
                                                                v   l                                       (1.14.6)
                                                   3



                                                         1.15    Heat Conduction


                     When there exists  a temperature gradient within a body, heat energy
            will    flow from  the region of high temperature to the    region of low
                                                temperature.  This  phenomenon  is  known  as

                                                conduction  heat  transfer,  and  is  described  by
                                                Fourier's  Law    (named  after  the  French
                                                physicist Joseph Fourier),


                                                                    T
                                                           Q          S    t                       (1.15.1)
                                                                     z
                                                quantity of heat   Q    transferes in a body

                                                for time       t   through  area     S oriented
                                                perpendicular    to  the  direction  of    heat
                                                transference  is      proportional  to    time  t ,
                                                             S
                                                area       and        to  the  temperature
                     Figure 1.15.1                           T
                                                gradient                 and     is  heat  conductivity
                                                             z
            factor  or   coefficient of heat conduction.

                                             2                        T    K
                     If   t  1s , S   1m       and                                    then  Q       
                                                                      z    m
            (numerically).
                                                                                               J
                     Measurement unit of    heat conductivity factor is  
                                                                                           K  m   s 



                                                                          And now consider   we will
                                                                      derive  an  expression  for  the

                                                                      thermal               conductivity.
                                                                      Consider  a        gas      with  a

                                                                      vertical  temperature  gradient
                                                                      (fig.1.15.2)    . The lower side
                                                                      is  hot  and  the  upper  side  is
                                                                      cold.      There  is  an    upward


                           Figure 1.15.2
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