1. RESULTS OF CEA CALORIMETER EXPERIMENT THERMAL MODELLING N.JONQUERES Ph.YALA DM2S/SEMT/BCCR

2. SOMMAIRE Presentation Calculation hypotheses Thermal leakage estimation – analytical calculation Estimation of temperature distribution shield alone in air Estimation of temperature evolution during experiment FEBRUARY 2014 | PAGE 2 CEA Calorimeter

3. CALORIMETER FEBRUARY 2014 | PAGE 3 CEA Calorimeter Thermal screen Water circulation Intermediate flange CeLAND shielding Multi layer isolation Vessel for water circulation (3mm) Temp. gauge Water shielding input Qmes=m.Cp.(Ts-Te)-L+corr(L)

4. CELAND : MODEL FEBRURY 5-6-7,2014 | PAGE 4 CEA Calorimeter

5. THERMAL LEAKAGE ESTIMATION Thermal leakage : foreseen and estimated contributions 1.Multi layer radiation screenning (tabulated value) 2.Conduction in low pressure air 3.Conduction through water pipes 4.Conduction through measurement wires 5.Conduction through electrical wires 6.Conduction through supporting structure 7.Influence of radiation screening defects FEBRUARY 2014 | PAGE 5 CEA Calorimeter

6. THERMAL LEAKAGE ESTIMATION FEBRUARY 2014 | PAGE 6 CEA Calorimeter

7. THERMAL LEAKAGE ESTIMATION FEBRUARY 2014 | PAGE 7 CEA Calorimeter

8. ESTIMATION PERTES THERMIQUES FEBRUARY 2014 | PAGE 8 CEA Calorimeter λ h=f(T 3 ) x Plastic insulation

9. THERMAL LEAKAGE ESTIMATION FEBRUARY 2014 | PAGE 9 CEA Calorimeter

10. THERMAL LEAKAGE ESTIMATION JUILLET 2013 | PAGE 10 CEA Calorimeter 1mm

11. CALORIMETER FEBRUARY 2014 | PAGE 11 CEA Calorimeter Qmes=m.Cp.(Ts-Te)-L+corr(L) 0,5 to 2 W 0,06 to 0,2 W 0,004 to 0,02 W 0,06 to 0,46 W 0,2 to 0,3 W

12. THERMAL LEAKAGE ESTIMATION Shield in air aloneShield in air alone Water heat transfer coefficient in the exchangerWater heat transfer coefficient in the exchanger Temperature in the exchanger, during the experimentTemperature in the exchanger, during the experiment Time to equilibriumTime to equilibrium FEBRUARY 2014 | PAGE 12 CEA Calorimeter

13. SHIELD IN AIR ALONE, THICKNESS 190MM 1200W FEBRUARY 2014 | PAGE 13 CEA Calorimeter Thermal radiation and free convection in air at 38°C insulated °C So we need to improve the heat exchange to reduce temperature on the capsule and the surface

14. WATER HEAT TRANSFER COEFFICIENT IN THE EXCHANGER FEBRUARY 2014 | PAGE 14 CEA Calorimeter To achieve small pressure drop and diminish free convection, we choose the interspace in the exchanger Old calculation based on 600 W power source

15. TEMPERATURE IN THE EXCHANGER (AT EQUILIBRIUM) FEBRUARY 2014 | PAGE 15 CEA Calorimeter Forced convection in water at 60°C insulated °C

16. TIME TO EQUILIBRIUM FEBRUARY 2014 | PAGE 16 CEA Calorimeter Temperature in the exchanger

17. TIME TO EQUILIBRIUM FEBRUARY 2014 | PAGE 17 CEA Calorimeter T of W at exit of exchanger Extracted power of exchanger Time evolution of relative power and temperature Analytical calculation gives