Unsteady-state conjugated heat transfer between a semi-infinite surface and incoming flow of a compressible fluid-I. Reduction to the integral relation

T. L. Perelman; R. S. Levitin; L. B. Cdalevich; B. M. Khusid

doi:10.1016/0017-9310(72)90146-9

Unsteady-state conjugated heat transfer between a semi-infinite surface and incoming flow of a compressible fluid-I. Reduction to the integral relation

T. L. Perelman, R. S. Levitin, L. B. Cdalevich, B. M. Khusid

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The analytical solution of the conjugated unsteady heat transfer problem in a semi-infinite plate with the sources in the form of the generalized power series is obtained in the space of the generalized functions (in the Sobolev-Schwartz sense). The dimensionless parameter B = [(1/Re). (a_s/Ca_∞)]) having physical meaning is found which allows consideration of the problem as the unsteady or quasi-stationary one depending on the "body-liquid" pair.

Original language	English (US)
Pages (from-to)	2551-2561
Number of pages	11
Journal	International Journal of Heat and Mass Transfer
Volume	15
Issue number	12
DOIs	https://doi.org/10.1016/0017-9310(72)90146-9
State	Published - Dec 1972
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/0017-9310(72)90146-9

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title = "Unsteady-state conjugated heat transfer between a semi-infinite surface and incoming flow of a compressible fluid-I. Reduction to the integral relation",

abstract = "The analytical solution of the conjugated unsteady heat transfer problem in a semi-infinite plate with the sources in the form of the generalized power series is obtained in the space of the generalized functions (in the Sobolev-Schwartz sense). The dimensionless parameter B = [(1/Re). (as/Ca∞)]) having physical meaning is found which allows consideration of the problem as the unsteady or quasi-stationary one depending on the {"}body-liquid{"} pair.",

author = "Perelman, \{T. L.\} and Levitin, \{R. S.\} and Cdalevich, \{L. B.\} and Khusid, \{B. M.\}",

year = "1972",

month = dec,

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volume = "15",

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Unsteady-state conjugated heat transfer between a semi-infinite surface and incoming flow of a compressible fluid-I. Reduction to the integral relation. / Perelman, T. L.; Levitin, R. S.; Cdalevich, L. B. et al.
In: International Journal of Heat and Mass Transfer, Vol. 15, No. 12, 12.1972, p. 2551-2561.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Unsteady-state conjugated heat transfer between a semi-infinite surface and incoming flow of a compressible fluid-I. Reduction to the integral relation

AU - Perelman, T. L.

AU - Levitin, R. S.

AU - Cdalevich, L. B.

AU - Khusid, B. M.

PY - 1972/12

Y1 - 1972/12

N2 - The analytical solution of the conjugated unsteady heat transfer problem in a semi-infinite plate with the sources in the form of the generalized power series is obtained in the space of the generalized functions (in the Sobolev-Schwartz sense). The dimensionless parameter B = [(1/Re). (as/Ca∞)]) having physical meaning is found which allows consideration of the problem as the unsteady or quasi-stationary one depending on the "body-liquid" pair.

AB - The analytical solution of the conjugated unsteady heat transfer problem in a semi-infinite plate with the sources in the form of the generalized power series is obtained in the space of the generalized functions (in the Sobolev-Schwartz sense). The dimensionless parameter B = [(1/Re). (as/Ca∞)]) having physical meaning is found which allows consideration of the problem as the unsteady or quasi-stationary one depending on the "body-liquid" pair.

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IS - 12

ER -

Unsteady-state conjugated heat transfer between a semi-infinite surface and incoming flow of a compressible fluid-I. Reduction to the integral relation

Abstract

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