Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-13T01:40:10.835Z Has data issue: false hasContentIssue false

Flow past a suddenly heated vertical plate

Published online by Cambridge University Press:  29 March 2006

S. N. Brown
Affiliation:
Department of Mathematics, University College, London
N. Riley
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich

Abstract

An analysis is presented that is appropriate to three distinct phases in the temporal development of the flow past a semi-infinite vertical plate whose temperature is suddenly changed from that of the surrounding fluid. These are the initial stage when a one-dimensional solution describes the flow, then a local solution which describes the early stages of the departure from this, and finally an asymptotic solution which describes the manner in which the final steady state is achieved.

Type
Research Article
Copyright
© 1973 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Andrews, R. D. 1969 Ph.D. thesis, University of East Anglia.
Dennis, S. C. R. 1972 J. Inst. Math. Applic. 10, 105.
Gebhart, B. 1961 Trans. A.S.M.E. C, 83, 61.
Gebhart, B. 1963a Trans. A.S.M.E. C, 85, 184.
Gebhart, B. 1963b Int. J. Heat. Mass Trans. 6, 951.
Gebhart, B. 1964 Int. J. Heat Mass Trans. 7, 479.
Gebhart, B. 1972 Proc. IUTAM Symp., Recent Research on Unsteady Boundary Layers, p. 573. Laval University Press.
Gebhart, B., Dring, P. R. & Polymeropoulos, C. E. 1967 Trans. A.S.M.E. C, 89, 53.
Goldstein, R. J. & Briggs, D. G. 1964 Trans. A.S.M.E. C, 86, 490.
Goldstein, R. J. & Eckert, E. R. G. 1960 Int. J. Heat Mass Trans. 1, 208.
Hall, M. G. 1969 Proc. Roy. Soc. A, 310, 401.
Illingworth, C. R. 1950 Proc. Camb. Phil. Soc. 46, 603.
Lorenz, L. 1881 Ann. Phys. 13, 582.
Ostrach, S. 1964 In Theory of Laminar Flows (ed. F. K. Moore). Oxford University Press.
Schmidt, E. & Beckmann, W. 1930 Tech. Mech. u. Thermodynamik, 1, 341, 391.
Siegel, R. 1958 Trans. A.S.M.E. 80, 347.
Stewartson, K. 1951 Quart. J. Mech. Appl. Math. 4, 182.
Stewartson, K. 1973 Quart. J. Mech. Appl. Math. 26, 143.