Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux

[+] Author and Article Information
V. V. Kulish

School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

J. L. Lage

Mechanical Engineering Department, Southern Methodist University, Dallas, TX 75275-0337e-mail: jll@seas.smu.edu

J. Heat Transfer 122(2), 372-376 (Dec 09, 1999) (5 pages) doi:10.1115/1.521474 History: Received August 27, 1999; Revised December 09, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd ed., Oxford University Press, Oxford.
Arpaci, V. S., 1966, Conduction Heat Transfer, Addison-Wesley, Reading, PA.
Özisik, M. N., 1980, Heat Conduction, Wiley, New York.
Kakaç, S., and Yener, Y., 1985, Heat Conduction, Hemisphere, Washington, DC.
Poulikakos, D., 1994, Conduction Heat Transfer, Prentice-Hall, Englewood Cliffs, New Jersey.
Oldham,  K. B., and Spanier,  J., 1972, “A General Solution of the Diffusion Equation for Semiinfinite Geometries,” J. Math. Anal. Appl., 39, pp. 655–669.
Cohen, H., 1992, Mathematics for Scientists and Engineers, Prentice-Hall, Englewood Cliffs, NJ.
Bejan, A., 1993, Heat Transfer, Wiley New York.
Oldham, K. B., and Spanier, J., 1974, The Fractional Calculus, Academic Press, New York.
Riesz,  M., 1949, “L’intégral de Riemann-Liuoville et le Problème de Cauchy,” Acta Math., 81, p. 1.
Abramowitz, M., and Stegun, I. A., 1964, Handbook of Mathematical Functions, Dover, New York.


Grahic Jump Location
Time evolution of surface heat flux, Eq. (20), and the imposed boundary condition (dashed line): [Tb(t)−T0]/TA=sin(ωt)
Grahic Jump Location
Time evolution of surface temperature, Eq. (23), and the imposed boundary condition (dashed line): q(t)/q0=sin(ωt)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In