Periodic heat conduction in a solid homogeneous finite cylinder

International Journal of Thermal Sciences

Volumn 48, Issue 4, 2009, Pages 722-732

  Cossali, G E ^a  

^a UNIVERSITY OF BERGAMO   (Italy)

Author keywords

Composite cylinder; Periodic heat conduction; Thermal quadrupoles

Indexed keywords

CYLINDERS (SHAPES); FOURIER TRANSFORMS;

ANALYTIC SOLUTIONS; COMPOSITE CYLINDER; FINITE LENGTH; FOURIER; LATERAL SURFACES; PERIODIC HEAT CONDUCTION; QUADRUPOLE; RADIAL SYMMETRY; TEMPERATURE FIELDS; THERMAL QUADRUPOLES;

HEAT CONDUCTION;

EID: 58549116304     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2008.05.009     Document Type: Article

References (28)

1. Nakorchevkii A.I. Dynamics of ground heat storage and choice of rational solutions. J. Engrg. Phys. Thermophys. 77 4 (2004) 688-699
2. Antonopoulos K.A., and Democritou F. Transient conduction under cosine temperature perturbations. Appl. Energy 50 (1995) 233-246
3. Adamovsky S.A., Minakov A.A., and Schick C. Scanning microcalorimetry at high cooling rate. Thermochimica Acta 403 (2003) 55-63
4. P.T. Ireland, T.V. Jones, Detailed measurements of heat transfer on and around a pedestal in fully developed passage flow, in: Proceedings of the 8th International Heat Transfer Conference, 1986, pp. 975-980
5. Butler R.J., and Baughn J.W. The effect of the thermal boundary condition on transient method heat transfer measurements on a flat plate with a laminar boundary layer. J. Heat Transfer 118 (1996) 831-837
6. De Monte F. Transient heat conduction in one-dimensional composite slab. A 'natural' analytic approach. Int. J. Heat Mass Transfer 43 (2000) 3607-3619
7. De Monte F. An analytic approach to the unsteady heat conduction processes in one-dimensional composite media. Int. J. Heat Mass Transfer 45 (2002) 1333-1343
8. Lu X., Tervola P., and Viljanen M. Transient analytical solution to heat conduction in multidimensional composite cylinder slab. Int. J. Heat Mass Transfer 49 (2006) 1107-1114
9. Haji-Sheikh A., and Beck J.V. Temperature solution in multi-dimensional multilayer bodies. Int. J. Heat Mass Transfer 45 (2002) 1865-1877
10. Lu X., Tervola P., and Viljanen M. Transient analytical solution to heat conduction in composite circular cylinder. Int. J. Heat Mass Transfer 49 (2006) 341-348
11. Alhama F., Lopez-Sanchez J.F., and Gonzales-Fernandez C.F. Heat conduction through a multilayered wall with variable boundary conditions. Energy 22 8 (1997) 797-803
12. Chen C.-H., and Chiou J.-S. Periodic heat transfer in a vertical plate fin cooled by a forced convective flow. Int. J. Heat Mass Transfer 39 (1996) 429-435
13. Chen Y., and Wang S. A new procedure for calculating periodic response factors based on frequency domain regression method. Int. J. Thermal Sci. 44 (2005) 382-392
14. Zubair S., and Aslam Chaudhry M. Heat conduction in a semi-infinite solid subject to steady and non-steady periodic-type surface heat fluxes. Int. J. Heat Mass Transfer 38 (1995) 3393-3399
15. Asan H., and Sancaktar Y.S. Effects of wall's thermophysical properties on time lag and decrement factor. Energy and Buildings 28 (1998) 159-166
16. Asan H. Numerical computation of time lags and decremental factors for different building materials. Building and Environment 41 (2006) 615-620
17. Minakov A.A., Adamovsky S.A., and Schick C. Advanced two-channel a.c. calorimeter for simultaneous measurements of complex heat capacity and complex thermal conductivity. Thermochimica Acta 403 (2003) 89-103
18. Jonsson U.G., and Andersson O. Investigation of the low- and high-frequency response of 3-ω sensors used in dynamic heat capacity measurements. Meas. Sci. Technol. 9 (1998) 1873-1885
19. Cossali G.E. A Fourier transform based data reduction method for the evaluation of the local convective heat transfer coefficient. Int. J. Heat Mass Transfer 47 (2004) 21-30
20. Cossali G.E. Dynamic response of a non-homogeneous 1-D slab under periodic thermal excitation. Int. J. Heat Mass Transfer 50 (2007) 3943-3948
21. Maillet D., Andrè S., Batsale J.C., Degiovanni A., and Moyne C. Thermal Quadrupoles (2000), John Wiley & Sons, New York
22. Özisik M.N. Heat Conduction. second ed. (1993), John Wiley & Sons, New York p. 16
23. Bowman F. Introduction to Bessel Functions (1958), Dover, New York
24. Cossali G.E. The heat storage capacity of a periodically heated slab under general boundary conditions. Int. J. Thermal Sci. 46 9 (2007) 869-877
25. Prudnikov A.P., and Ditkin V.A. Transformations integrales et calcul operationnel. second ed (1982), Mir, Moscow (in French)
26. Lebedev N.N. Special Functions and Their Applications (1972), Dover, New York p. 130
27. Beerends R.J., ter Morsche H.G., van der Berg J.C., and van der Vrie E.M. Fourier and Laplace Transforms (2003), Cambridge Univ. Press pp. 107-109
28. Abramoviz M., and Stegun I.A. Handbook of Mathematical Functions (1970), Dover, New York pp. 480-488