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Diego Paranhos
Lab Partners: Rose Dillon and Anhtuyet Lam
Outline
   Objective
   Theory
   Equipment
   Procedure
   Calculations
   Results & Discussion
   Conclusion
   Recommendations
   Questions
Objectives

 Measure      thermal conductivity for
    various materials and compare to
    literature values.

   Analyze the effect of thickness of plexi-
    glas on thermal conductivity.
Theory

   Transfer of thermal
    energy between
    neighboring
    molecules in a
    substance due to a
    temperature
    gradient
Theory

   The Law of Heat
    Conduction, also known
    as Fourier’s Law was
    developed by Joseph
    Fourier.

   Always from hot to cold
Fourier’s Law




      q/A = Heat flux* [W/m2]
      k = Material’s thermal conductivity [W/m*K]
      dT/dx = Temperature difference [°C]
Equipment
Materials Used

   6’’ x 6’’ plates

   Ply-wood

   Plexi-glas

   Stainless Steel
Procedure
   Part I – Conduction Heat Transfer through Different Materials (same thickness)

   1. Insert the 6’’ x 6’’ stainless steel plate (thickness: 0.249 in.) into the heat sink.
   2. Close the lid and turn fan on.
   3. Start timer for 5 minutes.
   4. Record T1, T2, and q/A from device every 5 minutes for 40 minutes (8 recordings).
   5. Repeat for the plywood (thickness: 0.221’’) and the plexi-glas plate (thickness: 0.217’’)



   Part II – Conduction Heat Transfer through Plexi-glas By Varying Thickness

   3. Insert the 6’’ x 6’’ plexi-glas plate (thickness: 0.106 in.) into the heater slot.
   4. Close the lid and turn fan on.
   5. Start timer for 5 minutes.
   6. Record T1, T2, and q/A from device every 5 minutes for 40 minutes (8 recordings).
   7. Repeat for the plexi-glas plate (thickness: 0.315 in.) and the plexi-glas plate (thickness:
    0.217’’)
Calculations

q      dT
  = −k
A      dx

q      T2 −T1       ∆T
  = −k         = −k
A      x2 − x1      ∆x
   q ∆x
k=
   A ∆T
Results and Discussion
                            Stainless Steel

                             Stainless Steel
                                                                0.0215
                                                  y = 0.2638x
                                                     2
                                                    R = 0.4322
              0.29000
              0.28500
  k (W/m*K)




              0.28000
              0.27500
              0.27000
              0.26500
                        0    10     20      30           40              50
                                     Time (min)


Metals have a high electrical conductivity, therefore high
heat conductivity because it uses the same molecules
for both processes.
Results and Discussion
               Ply-wood




Wood is not a very good conductor, low
thermal conductivity
Results and Discussion
                            Plexi-glas
                                                                 0.0073
                                Plexi-glas         y = 0.1373x
                                                      2
                                                     R = 0.3905
             0.14300
             0.14200
 k (W/m*K)




             0.14100
             0.14000
             0.13900
             0.13800
             0.13700
                       0   10       20       30           40              50
                                      Time (min)


Not as good of a conductor as stainless steel, but
still better than ply-wood.
Data and Percent Error

                  Average Experimental   Theoretical Thermal   Percent
   Material
                  Thermal Conductivity      Conductivity        Error



Stainless Steel       0.28 W/m*K            16.4 W/m*K         98.29 %


  Plexi-glas          0.14 W/m*K          0.21-0.26 W/m*K      41.52 %


   Plywood            0.08 W/m*K             0.1 W/m*K         15.25 %
Layer of Air




Data for plexi-glas is not available
Results and Discussion
             Plexi-glas varying thickness

                            Plexi-glas Thickness
            0.18
            0.16
            0.14
k (W/m*K)




            0.12
             0.1                                        0.106''
            0.08
            0.06                                        0.217''
            0.04                                        0.315''
            0.02
               0
                   0   10       20       30   40   50
                                 Time (min)


      Warping
      Layer of air
      External convective currents
Average Thermal Conductivity

               Average Thermal Conductivity
   Thickness
                        (W/m*K)

    0.106''              0.1299

    0.217''              0.1424

    0.315''              0.1063
Conclusion
   Thermal conductivity in metals, such as stainless
    steel, is higher than in plexi-glas and ply-wood.



   Thermal conductivity is an intrinsic property and
    does not change with thickness, although the
    data showed otherwise due to a layer of air
    present and external convective currents.
Recommendations
   Location of apparatus is prone to external
    convective currents by other engineers walking
    by it.
     Place apparatus in a corner to protect it.


   A layer of air was present in the heat sink
     Tighter seal on plate will minimize air or have some kind
      of vacuum seal.
Thank you
Questions?

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Conductive Heat Transfer Laboratory Experiment

  • 1. Diego Paranhos Lab Partners: Rose Dillon and Anhtuyet Lam
  • 2. Outline  Objective  Theory  Equipment  Procedure  Calculations  Results & Discussion  Conclusion  Recommendations  Questions
  • 3. Objectives  Measure thermal conductivity for various materials and compare to literature values.  Analyze the effect of thickness of plexi- glas on thermal conductivity.
  • 4. Theory  Transfer of thermal energy between neighboring molecules in a substance due to a temperature gradient
  • 5. Theory  The Law of Heat Conduction, also known as Fourier’s Law was developed by Joseph Fourier.  Always from hot to cold
  • 6. Fourier’s Law q/A = Heat flux* [W/m2] k = Material’s thermal conductivity [W/m*K] dT/dx = Temperature difference [°C]
  • 8. Materials Used  6’’ x 6’’ plates  Ply-wood  Plexi-glas  Stainless Steel
  • 9. Procedure  Part I – Conduction Heat Transfer through Different Materials (same thickness)  1. Insert the 6’’ x 6’’ stainless steel plate (thickness: 0.249 in.) into the heat sink.  2. Close the lid and turn fan on.  3. Start timer for 5 minutes.  4. Record T1, T2, and q/A from device every 5 minutes for 40 minutes (8 recordings).  5. Repeat for the plywood (thickness: 0.221’’) and the plexi-glas plate (thickness: 0.217’’)  Part II – Conduction Heat Transfer through Plexi-glas By Varying Thickness  3. Insert the 6’’ x 6’’ plexi-glas plate (thickness: 0.106 in.) into the heater slot.  4. Close the lid and turn fan on.  5. Start timer for 5 minutes.  6. Record T1, T2, and q/A from device every 5 minutes for 40 minutes (8 recordings).  7. Repeat for the plexi-glas plate (thickness: 0.315 in.) and the plexi-glas plate (thickness: 0.217’’)
  • 10. Calculations q dT = −k A dx q T2 −T1 ∆T = −k = −k A x2 − x1 ∆x q ∆x k= A ∆T
  • 11. Results and Discussion Stainless Steel Stainless Steel 0.0215 y = 0.2638x 2 R = 0.4322 0.29000 0.28500 k (W/m*K) 0.28000 0.27500 0.27000 0.26500 0 10 20 30 40 50 Time (min) Metals have a high electrical conductivity, therefore high heat conductivity because it uses the same molecules for both processes.
  • 12. Results and Discussion Ply-wood Wood is not a very good conductor, low thermal conductivity
  • 13. Results and Discussion Plexi-glas 0.0073 Plexi-glas y = 0.1373x 2 R = 0.3905 0.14300 0.14200 k (W/m*K) 0.14100 0.14000 0.13900 0.13800 0.13700 0 10 20 30 40 50 Time (min) Not as good of a conductor as stainless steel, but still better than ply-wood.
  • 14. Data and Percent Error Average Experimental Theoretical Thermal Percent Material Thermal Conductivity Conductivity Error Stainless Steel 0.28 W/m*K 16.4 W/m*K 98.29 % Plexi-glas 0.14 W/m*K 0.21-0.26 W/m*K 41.52 % Plywood 0.08 W/m*K 0.1 W/m*K 15.25 %
  • 15. Layer of Air Data for plexi-glas is not available
  • 16. Results and Discussion Plexi-glas varying thickness Plexi-glas Thickness 0.18 0.16 0.14 k (W/m*K) 0.12 0.1 0.106'' 0.08 0.06 0.217'' 0.04 0.315'' 0.02 0 0 10 20 30 40 50 Time (min)  Warping  Layer of air  External convective currents
  • 17. Average Thermal Conductivity Average Thermal Conductivity Thickness (W/m*K) 0.106'' 0.1299 0.217'' 0.1424 0.315'' 0.1063
  • 18. Conclusion  Thermal conductivity in metals, such as stainless steel, is higher than in plexi-glas and ply-wood.  Thermal conductivity is an intrinsic property and does not change with thickness, although the data showed otherwise due to a layer of air present and external convective currents.
  • 19. Recommendations  Location of apparatus is prone to external convective currents by other engineers walking by it.  Place apparatus in a corner to protect it.  A layer of air was present in the heat sink  Tighter seal on plate will minimize air or have some kind of vacuum seal.