Marx's Insights on Nature, Labor, and Property

 
Thermal Transfer Measurements
Made With the
Transient Line Heat Source Method
 
With Information on Phase Change Materials
 
Geoffrey Brown, Product Manager
 METER Group Inc. USA
 
Support from:
Dr. Gaylon Campbell
and
Dr. Doug Cobos
 
Decagon Devices, Inc.
(Pullman, WA, USA)
+
UMS Ag
(Munich, Germany)
=
METER Group
 
Phoenix Scout Mission to Mars
June 25, 2008 – Oct., 2008
 
TECP: Thermal and electrical properties probe
 
I
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A
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p
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i
c
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t
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n
s
 
Artificial skin
Corneas
Nanofluids
Heat loss from buried power cables
Cooking and sterilizing of foods
Oils and coolants
Greases and heat sink compounds
Polymers
 
Outline
 
Steady state conductivity measurement
Line heat source conductivity measurement
Improvements to the line heat source method
Phase change materials testing
Gels and liquids
 
Steady State Thermal
Conductivity
 
T
1
 
T
2
 
x
 
H
 
Measure heat flux density, 
H,
temperatures and thickness
Compute K
 from:
 
Radial Test Cell For Steady State
Thermal Conductivity
 
Heater &
Temp. sensor
 
Insulation
 
Temp.
sensor
 
Soil in
Copper or
Aluminum
tube
 
r
1
  heater radius
r
2  
tube radius
T
1
 heater temp.
T
2
 tube temp.
q   heat per unit length
 
Steady State Methods for
Determining 
k
 
Good
Simple calculations
Large samples
Direct method
 
Bad
Heat divergence
Large samples
Laboratory method
Slow
Thermally induced moisture
redistribution
Home made and/or
expensive
 
Consequences of Thermally
Induced Water Flow
 
Steady state methods work well for measuring
thermal conductivity in the laboratory on
saturated or completely dry materials
Steady state methods don't work for measuring
thermal conductivity of unsaturated porous
media
 
Line heat Source Methods for
Thermal Properties
 
Place a line heat source in the sample
Apply heat to the source and measure its
temperature over time
Compare the measured response with the
response predicted using the Fourier law model
adjust 
k
 and 
D
 in the model until it matches the
measurements
 
Equations for Line Heat Source
Measurements
 
During heating
 
After heating
 
Thermal Conductivity: Single
Needle Method
 
Why is the response linear with
In 
t?
 
Pulsed Infinite Line Source,
Approximate Solution
 
Example of 
k
 measurement
 
Heated Needle as Transient Line
Heat Source
 
Source is infinitely long and infinitesimally
small
Medium is uniform
Temperature is uniform and constant
Source is in intimate contact with medium
 
Ideally
 
Heated Needle as Transient Line
Heat Source Reality:
 
Source is 10cm long and 2.4 mm in
diameter
Temperature may vary in space and time
Contact resistance between source and
medium can occur
Medium may not be uniform (no control)
 
Transient Methods for
Determining 
k
 
Good
Small or large samples
Fast
Portable
No thermally induced
water flow
In situ measurements
 
 
Bad
Destructive
 
 
Improvements on the Transient
Method
 
Blackwell solution to the differential equation
Takes into account the finite probe size
Takes into account contact resistance
 
Other improvements
Monitors temperature drift and correct the data
 
Thermal Dryout Curves
 
The relationship between thermal
conductivity and water content for a soil or
other porous material
Water content is an important variable,
but density, mineralogy and temperature
are also important.  These need to be held
constant
 
Dryout Curve of Sand
 
General PCM Info
 
Transient line method can be used in
liquids, solids, and gels.
Sensors can be used in an environmental
chamber
Lab tech saves time with continuous read
mode
 
Experiment in PCMs
 
Tested liquids and gels
Green product phase change occurs at 5 
o
C
Orange product phase change occurs at
15 
o
C
Gel samples retain shape at warmer
temperatures
 
Test Setup
 
Needle inserted into the gel and placed in
an environmental chamber.
Liquid samples placed in vial and thermal
needle probe inserted into vial via septa in
lid.
Needles in vertical orientation
 
Results of 5
o
C Materials
 
Results of 17
o
C Materials
 
Conclusion
 
Steady state method is simple, but has
flaws that can result in bad data
Transient line source solves for some of
those faults
We are making improvements to make it
even better
Transient line method works well in PCMs
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Karl Marx's writings in the mid-19th century delved into the interconnectedness of man with nature, the impact of alienated labor on private property, and the potential for intimate ties to resolve conflicts. Through his economic and philosophic manuscripts, Marx explored the universality of man and the essence of true personal property. His ideas on communism and humanism as resolutions of conflicts between man and nature offer thought-provoking perspectives on society and economics.

  • Marx
  • Nature
  • Alienated Labor
  • Property
  • Communism

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  1. Thermal Transfer Measurements Made With the Transient Line Heat Source Method With Information on Phase Change Materials Geoffrey Brown, Product Manager METER Group Inc. USA

  2. Support from: Dr. Gaylon Campbell and Dr. Doug Cobos

  3. Decagon Devices, Inc. (Pullman, WA, USA) + UMS Ag (Munich, Germany) = METER Group

  4. Phoenix Scout Mission to Mars June 25, 2008 Oct., 2008 TECP: Thermal and electrical properties probe

  5. Interesting Direct Applications Interesting Direct Applications Artificial skin Corneas Nanofluids Heat loss from buried power cables Cooking and sterilizing of foods Oils and coolants Greases and heat sink compounds Polymers

  6. Outline Steady state conductivity measurement Line heat source conductivity measurement Improvements to the line heat source method Phase change materials testing Gels and liquids

  7. Steady State Thermal Conductivity Measure heat flux density, H, temperatures and thickness Compute K from: H T1 T2 H x = k ( ) T T 1 2 x

  8. Radial Test Cell For Steady State Thermal Conductivity ) / ln( 1 2 T T Heater & Temp. sensor q r r = k Soil in Copper or Aluminum tube 2 ( ) 1 2 r1 heater radius r2 tube radius T1 heater temp. T2 tube temp. q heat per unit length Temp. sensor Insulation

  9. Steady State Methods for Determining k Good Simple calculations Large samples Direct method Bad Heat divergence Large samples Laboratory method Slow Thermally induced moisture redistribution Home made and/or expensive

  10. Consequences of Thermally Induced Water Flow Steady state methods work well for measuring thermal conductivity in the laboratory on saturated or completely dry materials Steady state methods don't work for measuring thermal conductivity of unsaturated porous media

  11. Line heat Source Methods for Thermal Properties Place a line heat source in the sample Apply heat to the source and measure its temperature over time Compare the measured response with the response predicted using the Fourier law model adjust k and D in the model until it matches the measurements

  12. Equations for Line Heat Source Measurements q T 4 2 r = Ei During heating 4 k Dt 2 2 q r r = T Ei Ei ( m ) After heating 4 4 4 k D t t Dt 0 W ( / ) q is heat input r is radius of heater t is heating time o

  13. Thermal Conductivity: Single Needle Method 0.6 Temperature Change (C) 0.5 k = 0.5 0.4 k = 1.0 0.3 k = 2.0 0.2 0.1 0 0.1 1 10 100 Time (s)

  14. Why is the response linear with In t? q T 4 4 2 r = Ei k D t a = ( ) ( / )exp( 1 u du ) Ei a u = + + 2 ln / 4 ... a a a

  15. Pulsed Infinite Line Source, Approximate Solution q T 4 2 r ln 24.5 4 k Dt 24.45 24.4 Temperature (C) 24.35 2 q r 24.3 = ln ln t 4 4 k DC 24.25 E 24.2 2 2.5 3 3.5 4 4.5 5 ln t q = k 4 slope

  16. Example of k measurement 0.4 y = 0.0906x + 0.0564 R2 = 0.9998 r =153 C cm/W Temperature Rise (C) 0.3 0.2 y = 0.0853x + 0.008 R2 = 0.9996 0.1 r =144 C cm/W 0 0 1 2 3 4 ln t or ln t/(t-to) heating, excluded heating cooling cooling, excluded

  17. Heated Needle as Transient Line Heat Source Ideally Source is infinitely long and infinitesimally small Medium is uniform Temperature is uniform and constant Source is in intimate contact with medium

  18. Heated Needle as Transient Line Heat Source Reality: Source is 10cm long and 2.4 mm in diameter Temperature may vary in space and time Contact resistance between source and medium can occur Medium may not be uniform (no control)

  19. Transient Methods for Determining k Good Small or large samples Fast Portable No thermally induced water flow In situ measurements Bad Destructive

  20. Improvements on the Transient Method Blackwell solution to the differential equation Takes into account the finite probe size Takes into account contact resistance Other improvements Monitors temperature drift and correct the data

  21. Thermal Dryout Curves The relationship between thermal conductivity and water content for a soil or other porous material Water content is an important variable, but density, mineralogy and temperature are also important. These need to be held constant

  22. Dryout Curve of Sand 2.0 Thermal Conductivity (W/mK) 1.5 1.0 single sample 1 single sample 2 0.5 model single sample 0.0 0 0.1 0.2 0.3 0.4 0.5 Volumetric Water Content (m3/m3)

  23. General PCM Info Transient line method can be used in liquids, solids, and gels. Sensors can be used in an environmental chamber Lab tech saves time with continuous read mode

  24. Experiment in PCMs Tested liquids and gels Green product phase change occurs at 5 oC Orange product phase change occurs at 15 oC Gel samples retain shape at warmer temperatures

  25. Test Setup Needle inserted into the gel and placed in an environmental chamber. Liquid samples placed in vial and thermal needle probe inserted into vial via septa in lid. Needles in vertical orientation

  26. Results of 5oC Materials 1.800 1.600 Thermal Conductivity (W/mK) Green Gel Green Liquid 1.400 1.200 1.000 0.800 0.600 0.400 0.200 0.000 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 Temperature (C)

  27. Results of 17oC Materials 1.000 Orange Gel Scan 1 0.900 Orange Liquid 0.800 Thermal Conductivity (W/mK) 0.700 0.600 0.500 0.400 0.300 0.200 0.100 0.000 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 Temperature (C)

  28. Conclusion Steady state method is simple, but has flaws that can result in bad data Transient line source solves for some of those faults We are making improvements to make it even better Transient line method works well in PCMs

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