A general class of unsteady heat flow problems in a finite composite hollow circular cylinder

Olcer, Nurettin Y.

doi:10.1090/qam/99847

Author: Nurettin Y. Olcer
Journal: Quart. Appl. Math. 26 (1968), 355-371
DOI: https://doi.org/10.1090/qam/99847
MathSciNet review: QAM99847
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References | Additional Information

S. S. Penner and S. Sherman, Heat flow through composite cylinders, J. Chem. Phys. 15, 569–574 (1947)

H. H. Lowell, Response of two-material laminated cylinders to simple harmonic environment temperature change, J. Appl. Phys. 24, 1473–1478 (1953)

H. H. Lowell and N. Patton, Response of homogeneous and two-material laminated cylinders to sinusoidal environmental temperature change, with applications to hot-wire anemometry and thermocouple pyrometry, NACA TN-3514 (1955)

J. C. Jaeger, Heat conduction in composite circular cylinders, Philos. Mag. (7) 32 (1941), 324–335. MR 6011
V. R. Thiruvenkatachar and B. S. Ramakrishna, A case of combined radial and axial heat flow in composite cylinders, Quart. Appl. Math. 10 (1952), 255–262. MR 50142, DOI https://doi.org/10.1090/S0033-569X-1952-50142-7

I. J. Kumar and V. R. Thiruvenkatachar, Heat flow induced in a finite composite cylinder by harmonic variation of surface temperature, Indian J. Math. 3, 47–62 (1961)

S. L. Gerhard, Transient heat conduction in composite hollow cylinders, Picatinny Arsenal Tech. Memo. No. 90 (1958)

I. J. Kumar, Heat flow in hollow composite cylinders, Proc. Nat. Inst. Sci. India 29(A), 452–459 (1963)

N. Y. Ölçer, On a class of boundary-initial value problems, Österreich. Ing.-Arch. 18 (1964/1965), 104–113. MR 0162066

N. Y. Ölçer, On a heat flow problem in a hollow circular cylinder, Proc. Camb. Phil. Soc. (in press)

E. Marchi and G. Zgrablich, Heat conduction in hollow cylinders with radiation, Proc. Edinburgh Math. Soc. (2) 14 (1964/65), 159–164. MR 175508, DOI https://doi.org/10.1017/S0013091500025906

M. K. Kleiner, A temperature field of infinite hollow cylinders heated asymmetrically with respect to perimeter under general non-uniform boundary conditions (in Russian), Inzh.-Fiz. Zh. 11 (3), 307–314 (1966)