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wiki:design_construction [2022/02/02 16:18]
henri.godfrin@neel.cnrs.fr 		wiki:design_construction [2022/12/15 17:46] (current)
henri.godfrin@neel.cnrs.fr
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    * Small dilution refrigerators ("la Jolla" style) have diameters of a few cm, their 3He flow rate is ~10 to 50 µmol/sec. They are often used as "inserts" in a liquid helium dewar . Due to their small size, the heat exchangers have a small total area, and heat leaks make it difficult to reach temperatures below 10 mK.    * Small dilution refrigerators ("la Jolla" style) have diameters of a few cm, their 3He flow rate is ~10 to 50 µmol/sec. They are often used as "inserts" in a liquid helium dewar . Due to their small size, the heat exchangers have a small total area, and heat leaks make it difficult to reach temperatures below 10 mK.
  
-   * Larger refrigerators with heat exchangers of typical diameters larger than 10 cm ("Grenoble design") can reach temperatures on the order of 2 mK, with flow rates of 100 *mol/s. They can also provide large cooling power, with flow rates up to 10 mmol/s, obviously at higher working temperatures. +   * Larger refrigerators with heat exchangers of typical diameters larger than 10 cm ("Grenoble design") can reach temperatures on the order of 2 mK, with flow rates of 100 µmol/s. They can also provide large cooling power, with flow rates up to 10 mmol/s, obviously at higher working temperatures. 
    * Cooling power at the MC is given by the simple expression    * Cooling power at the MC is given by the simple expression
  
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 ===== "1K pot" and "no 1K pot" dilution refrigerators ===== ===== "1K pot" and "no 1K pot" dilution refrigerators =====
 +{{ wiki:1K_pot.JPG?250|1K_pot.JPG}} 
   * The incoming 3He has to be pre-cooled to relatively low temperatures to satisfy the thermodynamic requirement that the enthalpy of the 3He gas leaving the still, must be higher than the enthalpy of the 3He gas entering the dilution set-up, just before the thermalization on the still, if any cooling is to be obtained.    * The incoming 3He has to be pre-cooled to relatively low temperatures to satisfy the thermodynamic requirement that the enthalpy of the 3He gas leaving the still, must be higher than the enthalpy of the 3He gas entering the dilution set-up, just before the thermalization on the still, if any cooling is to be obtained. 
   * A separate cooling stage, the "1K pot" , is traditionally used in "wet refrigerators". A pot filled with helium from the helium bath through a capillary, and eventually a cold valve, is pumped to about 1.4 K through a pumping line, by means of a mechanical pump.   * A separate cooling stage, the "1K pot" , is traditionally used in "wet refrigerators". A pot filled with helium from the helium bath through a capillary, and eventually a cold valve, is pumped to about 1.4 K through a pumping line, by means of a mechanical pump.
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 **[[1k_pot|Link to Publications HERE]]** **[[1k_pot|Link to Publications HERE]]**
 +
 +===== The 3He condensation line  =====
 +{{ wiki:3He-condensation_HG.JPG?400 |3He-condensation_®HG}} 
  
 ===== The "still"  ===== ===== The "still"  =====
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   * The still plays an important role: the **3He flow rate** of the dilution refrigerator, and hence the cooling power available at the level of the mixing chamber, **is mainly determined by the power applied to the still**.      * The still plays an important role: the **3He flow rate** of the dilution refrigerator, and hence the cooling power available at the level of the mixing chamber, **is mainly determined by the power applied to the still**.   
 +
 +===== The Continuous heat exchanger  =====
 +
 +===== The Step ("discrete") heat exchangers =====
  
 ===== The Mixing Chamber  ===== ===== The Mixing Chamber  =====
-{{ wiki:mixingchamber_hg.jpg?150|Mixing chamber_®HG}}+{{ wiki:mixing_chamber_hg.jpg?170|Mixing chamber_®HG}} {{ wiki:mixingchamber_hg.jpg?150|Mixing chamber_®HG}}  
   * The mixing chamber can be made out of copper, stainless steel, plastics, etc.  Plastic MC are used in the presence of varying magnetic fields, to avoid eddy current heating.    * The mixing chamber can be made out of copper, stainless steel, plastics, etc.  Plastic MC are used in the presence of varying magnetic fields, to avoid eddy current heating. 
 +
   * The MC volume is chosen typically from a few cm3 (in very small refrigerators) to several liters (very large flow rate machines). Modern refrigerators including a large sintered silver heat exchange in the mixing chamber, have volumes of about 100-400 cm3.    * The MC volume is chosen typically from a few cm3 (in very small refrigerators) to several liters (very large flow rate machines). Modern refrigerators including a large sintered silver heat exchange in the mixing chamber, have volumes of about 100-400 cm3. 
 +
 +===== Cooling power of Dilution Refrigerators =====
 +{{wiki:DR_cooling_Power.jpg?350 |DR_cooling_Power_®HG.JPG}} 
 +
 +  * The figure shows the cooling power of different types of dilution refrigerators. 
 +
 +  * Cooling power = 82 dn3/dt T^2. This standard formula relates the cooling power in watts to the flow rate expressed in moles/sec (dn3/dt). 
 +It is applicable for temperature T>3 Tmin, where Tmin is the base temperature of the dilution refrigerator (no applied external power). 
 +
 +
 +  * Depending on the typical size of the machine (see above), different flow rates can be achieved, and hence different cooling powers.
 +
 +  * The performance of refrigerators optimized for very low temperatures is indicated by dashed lines.
 +
 +  * Pumped 3He refrigerators have larger cooling powers that dilution refrigerators for T>0.35 K. The are also significantly more user friendly...
 +
 +
 +===== Troubleshooting Dilution Refrigerators =====
 +  * 1 K pot hot, pressure is low. Filling capillary blocked. Remove LHe so that the bath level is below the intake, keep 4He pressure in Pot above bath pressure. Having a heater on the 1K pot capillary can help, applying heat pulses...
 +
 +  * High inlet pressure. Air? Hydrogen? Water?
 +
 +  * Low still pressure. Still empty? Check T_still vs. P_still ! If there is no liquid, the pressure j
 +  * is low, but the temperature is high.
 +
 +  * No cooling power. Interface level in MC? Heat leak to MC? Apply heat and check cooling power at higher temperatures. 3He/4He ratio OK?
 +
 +  * Heating spikes, temperature oscillations. Superfluid leak to Vacuum can? Check for spikes in the vaucum can pressure.
 +
 +
wiki/design_construction.1643818688.txt.gz · Last modified: 2022/02/02 16:18 by henri.godfrin@neel.cnrs.fr

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