Effect of the potential field on non-Fickian diffusion problems in a sphere

International Journal of Heat and Mass Transfer

Volumn 46, Issue 15, 2003, Pages 2809-2818

  Chen, Han Taw ^a   Liu, Kuo Chi ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b FAR EAST UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; LAPLACE TRANSFORMS; MASS TRANSFER;

POTENTIAL GRADIENTS;

THERMAL DIFFUSION;

DIFFUSION;

BOUNDARY LAYER; DIFFUSION COEFFICIENT; MATHEMATICAL ANALYSIS; METHODOLOGY; NON FICKIAN DIFFUSION;

EID: 0038322298     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(03)00064-4     Document Type: Article

References (20)

1. Crank, J. (1975). The Mathematics of Diffusion. New York: Oxford University.
2. Shewmon, P. (1989). Diffusion in Solids, the Minerals. Pennsylvania: Metals and Materials Society.
3. Ding, S., & Petuskey, W. T. (1998). Solution to Fick's second law of diffusion with a sinusoidal excitation. Solid State Ionics, 109 101-110.
4. Godoy, S., & Garcia-Colin, L. S. (1996). From the quantum random walk to classical mesoscopic diffusion in crystalline solids. Phys. Rev. E, 53 5779-5785.
5. Das, A. K. (1991). A non-Fickian diffusion equation. J. Appl. Phys., 70(3), 1355-1358.
6. Das, A. K. (1998). Some non-Fickian diffusion equation: theory and applications. Defect Diffus. Forum, 162-163 97-118.
7. Wu, J. P., Shu, Y. P., & Chu, H. S. (1998). Transient heat transfer phenomenon of two-dimensional hyperbolic heat conduction problem. Numer. Heat Transfer--Part A, 33 635-652.
8. Chen, H. T., & Lin, J. Y. (1993). Numerical analysis for hyperbolic heat conduction. Int. J. Heat Mass Transfer, 36 2891-2898.
9. Lin, J. Y., & Chen, H. T. (1994). Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems. Appl. Math. Modell., 18 384-390.
10. Chen, H. T., & Lin, J. Y. (1994). Analysis of two-dimensional hyperbolic heat conduction problems. Int. J. Heat Mass Transfer, 37 153-164.
11. Carey, G. F., & Tsai, M. (1982). Hyperbolic heat transfer with reflection. Numer. Heat Transfer, 5 309-327.
12. Glass, D. E., Özisik, M. N., McRae, D. S., & Vick, B. (1985). On the numerical solution of hyperbolic heat conduction. Numer. Heat Transfer, 8 497-504.
13. Zhang, Z., & Liu, D. Y. (1998). Non-Fourier effects in rapid transient heat conduction in a spherical medium. J. Eng. Thermophy., 19 601-605.
14. Chen, H. T., & Liu, K. C. (2001). Numerical analysis of non-Fickian problems in a potential field. Numer. Heat Transfer--Part B, 40 265-282.
15. Chen, H. T., & Liu, K. C. (2003). Analysis of non-Fickian diffusion problems in a composite medium. Comp. Phy. Comm., 150 31-42.
16. Özisik, M. N. (1980). Heat Conduction. New York: Oxford University.
17. Honig, G., & Hirdes, U. (1984). A method for the numerical inversion of Laplace transforms. J. Comp. Appl. Math., 10 113-132.
18. Dubner, W. M., & Abate, J. (1968). Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform. J. ACM., 15 115-123.
19. Chen, H. T., Chen, T. M., & Chen, C. K. (1987). Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems. Comput. Meth. Appl. Mech. Eng., 63 83-95.
20. Chen, H. T. (1990). Hybrid method for transient response of circular pins. Int. J. Numer. Meth. Eng., 29 303-314.