Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

On controllable heat flux fields and the determination of temperature-dependent thermal conductivities


Author: Henry J. Petroski
Journal: Quart. Appl. Math. 31 (1973), 313-319
DOI: https://doi.org/10.1090/qam/99698
MathSciNet review: QAM99698
Full-text PDF Free Access

References | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] B. D. Coleman and V. J. Mizel, Thermodynamics and departures from Fourier's law of heat conduction, Arch. Rat. Mech. Anal. 13, 245-261 (1963) MR 0151119
  • [2] J. L. Ericksen, General solutions in the hydrostatic theory of liquid crystals, Trans. Soc. Rheology 11, 5-14 (1967)
  • [3] M. Hayes, N. Laws and R. B. Osborne, The paucity of universal motions in thermoelasticity, Quart. Appl. Math. 27, 416-420 (1969)
  • [4] H. Lamb, Hydrodynamics, 6th ed., N. Y., Dover, 1945
  • [5] N. Laws, Controllable states in thermoelasticity, Quart. Appl. Math. 28, 432-436 (1970)
  • [6] L. M. Milne-Thompson, Theoretical hydrodynamics, 3rd ed., London, Macmillan, 1955 MR 0075724
  • [7] H. J. Petroski and D. E. Carlson, Controllable states of elastic heat conductors, Arch. Rat. Mech. Anal. 31, 127-150 (1968) MR 1553522
  • [8] H. J. Petroski and D. E. Carlson, Controllable states of rigid heat conductors, Z. angew. Math. Phys. 19, 372-376 (1968)
  • [9] M. Singh and A. C. Pipkin, Controllable states of elastic dielectrics, Arch. Rat. Mech. Anal. 21, 169-210 (1966) MR 0191162
  • [10] R. P. Tye, ed., Thermal conductivity, Vol. 1, London, Academic Press, 1969
  • [11] H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, 2nd ed., Oxford University Press, 1959 MR 0022294


Additional Information

DOI: https://doi.org/10.1090/qam/99698
Article copyright: © Copyright 1973 American Mathematical Society

American Mathematical Society