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28                               TRƯỜNG ĐẠI HỌC SƯ PHẠM KỸ THUẬT - ĐẠI HỌC ĐÀ NẴNG

                  V  is  the  air  flow  rate  (m/s);   and  ki  are  the   In which, mkk (kg/s), Ckk (J/kg.K) are the flow rate
                                                                                                       o
                                             i                and specific heat capacity of air, respectively; t0 ( C),
               thickness and heat transfer coefficient of the glass and   tcomf ( C) are the initial temperature in the cabin and the
                                                                  o
               car body shell (m), respectively [6].          required   comfortable   temperature   in   cabin,
                  5)  The Heat Emitted from the Engine        respectively;  (s) is the time required to reach the the
                                                                          p
                  This heat emitted from the engine would affect the   comfortable temperature.
               cabin temperature. The heat emitted from the engine
               was determined according to the equation below [13].   C.  Calculation  and  Simulation  Programming
                                                              Method
                     Q      F  . h   ( . t  −  t  )                     (10)
                         =
                       eng   eng  cabin  eng  in                 The programming for calculation and simulation of
                                                              thermal  loads  applied  to  cabin  was  conducted  on
                  In  which,  F  is  the  outer  surface  area  of  the   Matlab 2022 software. The algorithms on matlab were
                            eng
                                                              based  on  the  equations  for  calculating  thermal  loads
               engine (m );  t  and  t are the engine temperature and   applied to cabin. The calculation programming using
                       2
                          eng    in
               the  ambient  temperature  in  the  cabin  ( C),   functions, which were available in the Matlab library
                                                        o
               respectively.  Engine  temperature  is  determined   to calculate and display the value of the thermal loads
               according to the following empirical equation [10].   such as: heat emitted from humans, and radiation heat.
                                                                 The thermal loads such as heat exchanged with the
                                 6
                     t      2.10 RPM  2                       air, heat emitted from the engine, and heat loss due to
                                −
                         =
                           −
                      eng                                         (11)
                               +    0.0355RPM +      77.5     ventilation have changed continuously during the heat
                                                              exchange  process  with  the  air  in  the  vehicle  cabin.
                  6)  The Heat Loss Due to Ventilation        These  parameters  were  programmed  and  simulated
                  The heat loss due to ventilation between the cabin   based  on  the  heat  transfer  law,  in  which,  the  heat
               and environment depends on the thermal and humidity   transfer  partial  equation,  the  initial  conditions  and
               parameters of the air outside the environment and in   boundary conditions of the heat transfer problem were
               the  cabin.  The  heat  loss  was  determined  by  the   determined. The heat transfer equations were solved
               following equation [6].                        based on the finite difference method on Matlab 2022
                                                              software [12]. In the heat-transfer function, the PDEs
                       Q   =  m  (i −  i  )                                (12)   (partial differential equations) problem was solved by
                         ven  ven  kk  in
                                                              pdepe  function  which  was  available  in  the  Matlab
                  In which, mven is the circulating air flow (kg/s); ikk   library and was adjusted and complemented.
               and iin are the enthalpy of air outside the environment   The  heat  transfer  partial  equation,  the  initial
               and in the cabin. They were determined according to   conditions  and  boundary  conditions  of  the  heat
               the following equation [17]:                   transfer  problem  of  thermal  loads  applied  to  cabin
                                                )
                                        6
                                         +
                     i =        (  2.501.10     1770t X          (13)   were presented as the equations below [13].
                          1006   t +
                                                                 + The heat transfer partial equation
                          o
                  Where t ( C) is the temperature of air and X (%) is            2
               the relative humidity of the air.                      t   =  1     t                                         (15)
                  The  heat  emitted  from  the  exhaust  gas  was        C p  x   2
               considered  insignificantly,  when  the  exhaust  gas
               system was separated under the car's chassis.     + The initial condition
                  7)  The Cooling Capacity of the Air Conditioning   t x,   t                                                   (16)
                                                                     ( ) 0 =
               System of the Vehicle                                         0
                  The cooling capacity of the air conditioning system   + The boundary condition
               depends  on  parameters  such  as  total  heat  applied  to
               cabin, required comfortable temperature in cabin and     t 
               the time needed to reach the comfortable temperature.   −   x   =   ( t −  ) t                           (17)
                                                                                  a
               The cooling capacity was determined according to the       x x  s      x x
                                                                                         s
               following empirical equation [16].                In  which,  ρ  (kg/m ),  Cp  (kJ/kg. C),  α  (W/m . C)
                                                                                 3
                                                                                            o
                                                                                                      2 o
                     Q =  Q + ( m  .C     5600+  )            are  density,  specific  heat,  and  convective  heat
                       0   tot   kk  kk                       exchange coefficient of air, respectively
                                                             (14)   λ (W/m. C) is thermal conductivity coefficient of
                                                                        o
                              ( t − t comf  ) / ...    p      glass or body shell of vehicle.
                           0
                                       ln t − t comf 
                                         0
               ISBN: 978-604-80-9779-0
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