Abstract
Car paint ovens consume a lot of energy within the automobile factory. For this reason, proper selection or design of this unit can yield substantial reduction in costs. In addition, car paint ovens that operate in existing factories quite often cannot assure adequate indoor air temperature and they need to be redesigned. In such an instance, simulating the oven operation is very important as it allows optimal selection of parameters that need to be changed in order that paint oven meets the requirements. In this paper, mathematical model for simulation of energy flows in car paint oven is presented. The model can be used to easily analyze which variables and to what extent affect the operating parameters (such as air temperature or car body temperature) of car paint oven, that could help designers to select optimal scenario for designing new or redesigning existing car paint ovens in order to achieve desired indoor air temperature.
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Abbreviations
- \(\Delta \dot {m}_2\) :
-
mass flow rate of fresh and exhausted air (kg/s)
- \(\dot {m}_2\) :
-
mass flow of air through heating unit (kg/s)
- \(\dot {m}_3\) :
-
mass flow rate of car bodies through the oven (kg/s)
- \(\dot {m}_4\) :
-
mass flow rate of carrier through the oven (kg/s)
- \(\dot {Q_1}\) :
-
heat in the air flow leaving the heating unit (W)
- \(\dot {Q_2}\) :
-
heat in the air flow entering the car paint oven (W)
- \(\dot {Q_3}\) :
-
heat that is transferred to car bodies (W)
- \(\dot {Q_4}\) :
-
heat that is transferred to carrier (W)
- \(\dot {Q_g}\) :
-
heat losses in heating unit (W)
- \(\dot {Q}\) :
-
heat of condensation (W)
- \(\dot {Q}^{1}_{\Delta \dot {m}}\) :
-
heat in the exhausted air (W)
- \(\dot {Q}^{2}_{\Delta \dot {m}}\) :
-
heat needed to heat the fresh air (W)
- \(\dot {Q}_{01}\) :
-
heat losses through the oven walls (W)
- \(\dot {Q}_{02}\) :
-
heat losses through the oven floor (W)
- \(\dot {Q}_{03}\) :
-
heat losses due to inflow of cold air through the inlet and outlet doors of the oven (W)
- \(\dot {Q}_{04}\) :
-
heat losses due to evaporation of paint solvent (W)
- \(\dot {Q}_{05}\) :
-
heat losses due to evaporation of water (W)
- \(\dot {Q}_{0}\) :
-
heat losses in car paint oven (W)
- \(\dot {Q}_{g1}\) :
-
heat losses through air supply channel (W)
- \(\dot {Q}_{g5}\) :
-
heat losses through feedback channel (W)
- A g2 :
-
length of car paint oven (m)
- c 3 :
-
specific heat of car body material (J/kg⋅∘C)
- c 4 :
-
specific heat of carrier material (J/kg⋅∘C)
- c p :
-
specific heat of air (J/kg⋅∘C)
- k g1 :
-
overall heat transfer coefficient for air supply channel walls (W/m2⋅∘C)
- k g3 :
-
overall heat transfer coefficient for paint layer at car body (W/m2⋅∘C)
- k g4 :
-
overall heat transfer coefficient for paint layer to be deposited on carrier (W/m2⋅∘C)
- k g5 :
-
overall heat transfer coefficient for feedback channel walls (W/m2⋅∘C)
- k R :
-
overall heat transfer coefficient of heat exchanger (W/m2⋅∘C)
- S g1 :
-
surface area of air supply channel walls (m2)
- S g3 :
-
surface area of all car bodies within the oven (m2)
- S g4 :
-
surface area of carrier within the oven (m2)
- S g5 :
-
surface area of feedback channel walls (m2)
- S R :
-
surface area of heat exchanger (m2)
- t1i′:
-
air temperature at the inlet of mixing chamber (∘C)
- t 1i :
-
air temperature at the inlet of heating unit (∘C)
- t 1o :
-
air temperature at the exit of heating unit (∘C)
- t 2i :
-
air temperature at the inlet of car paint oven (∘C)
- t 2o :
-
air temperature at the exit of car paint oven (∘C)
- t 3i :
-
inlet temperature of car body (∘C)
- t 3o :
-
outlet temperature of car body (∘C)
- t 4i :
-
inlet temperature of carrier (∘C)
- t 4o :
-
outlet temperature of carrier (∘C)
- t a :
-
outer temperature (∘C)
- t s :
-
steam temperature (∘C)
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Appendix
Appendix
The values of parameters that are used in simulation are given in Table 1.
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Despotovic, M., Babic, M. Analysis of different scenarios of car paint oven redesign to achieve desired indoor air temperature. Energy Efficiency 11, 877–891 (2018). https://doi.org/10.1007/s12053-018-9612-1
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DOI: https://doi.org/10.1007/s12053-018-9612-1