Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T06:22:13.263Z Has data issue: false hasContentIssue false
  • English
  • Français

An experimental study of nonlinear disturbance behaviour in natural convection

Published online by Cambridge University Press:  29 March 2006

Yogesh Jaluria  and
Benjamin Gebhart
Yogesh Jaluria
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, N.Y.
Benjamin Gebhart
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, N.Y.
Get access Rights & Permissions [Opens in a new window]

Abstract

An experimental investigation has been carried out to determine the behaviour of three-dimensional disturbances in laminar natural convection flow adjacent to a flat vertical surface with uniform heat flux input. A controlled two-dimensional disturbance, with a superimposed transverse variation, was introduced into the boundary region by a vibrating ribbon. The downstream propagation and amplification of these disturbances were studied in detail. Of principal interest was their nonlinear interaction with the base flow and any secondary mean flows that might arise therefrom. Measurements of the transverse mean velocity component indicate a double longitudinal vortex system. These results also show a distortion of the longitudinal base velocity profile which rapidly increases downstream. An alternate spanwise steepening and flattening of the profile is found to result. These mean flow modifications are found to be in good general agreement with existing theoretical and experimental studies of such flows. Our results are also compared with those obtained for forced flow. Several very important differences and similarities are indicated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 61 , Issue 2 , 6 November 1973 , pp. 337 - 365
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

Audunson, T. & Gebhart, B. 1973 Observations on the secondary three-dimensional mean motion induced by oscillations in a natural convection boundary layer. To be published.
Benney, D. J. 1961 A non-linear theory for oscillations in a parallel flow. J. Fluid Mech. 10, 209.Google Scholar
Benney, D. J. & Lin, C. C. 1960 On the secondary motion induced by oscillations in a shear flow. Phys. Fluids, 3, 656.Google Scholar
Colak-Antic, P. 1962 Dreidimensionale Instabilitatser-Scheinungen des laminarturbulenten Umschlages bei freier Konvektion langs einer vertikalen geheizhen Platte. Sitz. Heid. Akad. der Wiss., Mathe.-natur Klasse, p. 315.Google Scholar
Colak-Antic, P. 1964 Hitzdraht messungen des laminar-turbulenten Umschlags bei freier Konvektion. Jahrbuch W.G.L.R., p. 172.Google Scholar
Dring, R. P. & Gebhart, B. 1968 A theoretical investigation of disturbance amplification in external natural convection. J. Fluid Mech. 34, 551.Google Scholar
Dring, R. P. & Gebhart, B. 1969a An experimental investigation of disturbance amplification in external natural convection flow. J. Fluid Mech. 36, 447.Google Scholar
Dring, R. P. & Gebhart, B. 1969b Hot wire anemometer calibration for measurement at very low velocity. J. Heat Transfer, 91, 241.Google Scholar
Eckert, E. R. G., Hartnett, J. P. & Irvine, T. F. 1960 Flow visualization studies of transition to turbulence in free convection flow. A.S.M.E. Paper, no. 60-Wa-260.Google Scholar
Eckert, E. R. G. & Soehngen, E. 1951 Interferometric studies on the stability and transition to turbulence of a free convection boundary layer. Proc. Gen. Disc. Heat Transfer, London, p. 321.Google Scholar
Gebhart, B. 1969 Natural convection flow, instability, and transition. J. Heat Transfer, 91, 293.Google Scholar
Gebhart, B. 1973 Instability, transition and turbulence in buoyancy induced flows. Ann. Rev. Fluid Mech. 5, 213.Google Scholar
Godaux, F. & Gebhart, B. 1973 An experimental study of the transition of natural convection flow adjacent to a vertical surface. Int. J. Heat Mass Transfer, to appear.Google Scholar
Hieber, C. A. & Gebhart, B. 1971 Stability of vertical natural convection boundary layers: some numerical solutions. J. Fluid Mech. 48, 625.Google Scholar
Hollasch, K. 1970 A survey of the literature, design, and experimental verification of a measurement scheme for external turbulent natural convection flow. M.S. thesis, Cornell University.
Hollasch, K. & Gebhart, B. 1972 Calibration of constant temperature hot wire anemometers at low velocities in water with variable fluid temperature. J. Heat Transfer, 94, 17.Google Scholar
Jaluria, Y. 1972 The growth and propagation of three-dimensional disturbances in laminar natural convection flow adjacent to a flat vertical surface. M.S. thesis Cornell University.
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1961 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 1.Google Scholar
Knowles, C. P. 1967 A theoretical and experimental study of the stability of the laminar natural convection boundary layer over a vertical uniform flux plate. Ph.D. thesis, Cornell University.
Knowles, C. P. & Gebhart, B. 1968 The stability of the laminar natural convection boundary layer. J. Fluid Mech. 34, 657.Google Scholar
Knowles, C. P. & Gebhart, B. 1969 An experimental investigation of the stability of laminar natural convection boundary layers. Prog. Heat & Mass Transfer, 2, 99.Google Scholar
Lock, G. S. H. & Trotter, F. J. de B. 1968 Observations on the structure of a turbulent free convection boundary layer. Int. J. Heat Mass Transfer, 11, 1225.Google Scholar
Mollendorf, J. C. & Gebhart, B. 1973 An experimental and numerical study of the viscous stability of a round laminar vertical jet with and without thermal buoyancy for symmetric and asymmetric disturbances. J. Fluid Mech. 61, 367.Google Scholar
Nachtsheim, P. E. 1963 Stability of free convection boundary layer flows. N.A.S.A. Tech. Note, no. D-2089.Google Scholar
Pera, L. & Gebhart, B. 1973 On the stability of natural convection boundary layer flow over horizontal and slightly inclined surfaces. Int. J. Heat Mass Transfer, 16, 1147.Google Scholar
Plapp, J. E. 1957 The analytic study of laminar boundary layer stability in free convection. J. Aero. Sci. 24, 318.Google Scholar
Polymeropoulos, C. E. & Gebhart, B. 1967 Incipient instability in free convection laminar boundary layers. J. Fluid Mech. 30, 225.Google Scholar
Szewczyk, A. A. 1962 Stability and transition of the free convection boundary layer along a flat plate. Int. J. Heat Mass Transfer, 5, 903.Google Scholar