Supplements to "Experimental and Numerical Study of Melting in a Cylinder"

 

Benjamin J. Jones, Dawei Sun, Shankar Krishnan, and Suresh V. Garimella

School of Mechanical Engineering

Purdue University, West Lafayette, Indiana 47907

 

Please contact Dr. Garimella for any questions, email: sureshg@ecn.purdue.edu.

Basic experimental setup and computational domain

Figure 1.  Schematic diagram and dimensions of the cylindrical enclosure.

 

Inner thermocouple locations

Table 1.  Measured locations of thermocouples

 

 

Center Rake

 

 

 

A1

B1

C1

D1

E1

F1

r ( mm )

3.2

3.2

3.1

3.1

2.7

3.1

z ( mm )

4.1

13.6

24.2

34.7

44.8

54.9

 

 

Middle Rake

 

 

 

A2

B2

C2

D2

E2

F2

r ( mm )

15.2

15.5

15.7

15.6

15.7

15.5

z ( mm )

4.0

13.5

23.8

34.6

44.2

54.6

 

 

Outer Rake

 

 

 

A3

B3

C3

D3

E3

F3

r ( mm )

21.9

21.3

21.3

21.8

21.9

21.5

z ( mm )

4.9

14.0

24.9

35.3

44.8

54.9

 

Click here to find the detailed thermocouple readings as an excel spreadsheet.

 

Experimental Conditions

Table 2.  Experimental conditions for the three cases investigated.

 

Case I

Case II

Case III

Side Wall Temperature, TH (ºC)

70

55

45

Lower Surface Temperature, TB (ºC)

32

32

32

 

Physical properties

Table 3.  Thermophysical properties of n-eicosane [1-4]

 

Solid (25 ºC)

Liquid (50 ºC)

Density ρ (kg/m3)

910

769

Thermal conductivity k (W/m×K)

0.423

0.146

Specific heat cP (J/kg×K)

1926

2400

Thermal expansion coefficient β (1/K)

N/A

8.161x10-4

Reference temperature Tref (ºC)

N/A

36.4

Melting point Tm (ºC)

36.4

Latent heat L (kJ/kg)

248

 

[1] M. Frenkel, TRC Thermodynamic Tables - Hydrocarbons, U.S. Government Printing Office, Washington, 2003.

[2] P.C. Stryker, E.M. Sparrow, Application of a spherical thermal conductivity cell to solid n-eicosane paraffin, International Journal of Heat and Mass Transfer 33 (1990) 1781-1793.

[3] C.L. Yaws, Chemical Properties Handbook, McGraw-Hill, New York, 1999.

[4] S. Himran, A. Suwono and G.A. Mansoori, Characterization of Alkanes and Paraffin Waxes for Application as Phase Change Energy Storage Medium, Energy Sources 16 (1994) 117-128.

 

Table 4.  Thermophysical properties of experimental facility materials [5,6,7]

 

Density (kg/m3)

Thermal conductivity (W/m×K)

Specific heat (J/kg×K)

Polycarbonate

1200

0.19

1260

Acrylic

1188

0.193

1420

[5] J.F. Shackelford, W. Alexander, J.S. Park, Practical Handbook of Materials Selection, CRC Press, Boca Raton, 1995.

[6] J. Brandrup, E.H. Immergut, E.A. Grulke, Polymer Handbook, John Wiley & Sons, New York, 1999.

[7] C.T. Lynch, Practical Handbook of Materials Science, CRC Press, Boca Raton, 1989.


Melt Front Evolution

    Click here to access the digitized melt front locations based on image analysis as an excel spreadsheet.

 

Case I (TH = 70ºC, TB = 32ºC)

    Click here to download the high resolution images as a zip file - 4.65 MB

 

123 s

 

603 s

 

1203 s

 

1803 s

 

2103 s

 

2403 s

 

3003 s

 

3603 s

 

4803 s

 


 

Case II (TH = 55ºC, TB = 32ºC) 

    Click here to download the high resolution images as a zip file - 4.57 MB

 

243 s

 

1203 s

 

2403 s

 

3003 s

 

3603 s

 

4203 s

 

5403 s

 

6603 s

 

8403 s

 


 

Case III (TH = 45ºC, TB = 32ºC)

    Click here to download the high resolution images as a zip file - 4.81 MB

 

484 s

 

2404 s

 

4804 s

 

7204 s

 

8404 s

 

9604 s

 

12004 s

 

14404 s

 

18004 s