Fully developed laminar buoyant flow in vertical cavities and ducts of bounded section
The fully developed flow in a vertical cavity or duct subject to horizontal heating is considered. Solutions of the Boussinesq equations are obtained for rectangular and elliptic sections, in terms of Fourier series and polynomials, respectively. Both generalize the familiar odd-symmetric cubic prof...
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| Published in | Journal of fluid mechanics Vol. 401; pp. 365 - 377 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge
Cambridge University Press
25.12.1999
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0022-1120 1469-7645 |
| DOI | 10.1017/S0022112099006783 |
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| Abstract | The fully developed flow in a vertical cavity or duct subject to horizontal heating
is considered. Solutions of the Boussinesq equations are obtained for rectangular
and elliptic sections, in terms of Fourier series and polynomials, respectively. Both
generalize the familiar odd-symmetric cubic profile of the plane cavity. Uniqueness is
demonstrated under the restriction that the flow is independent of height. For cavities
with rectangular sections, it is predicted and verified that the flow in the plane of
spanwise symmetry is practically independent of the span if this exceeds 1.7 times the
breadth. |
|---|---|
| AbstractList | The fully developed flow in a vertical cavity or duct subject to horizontal heating is considered. Solutions of the Boussinesq equations are obtained for rectangular and elliptic sections, in terms of Fourier series and polynomials, respectively. Both generalize the familiar odd-symmetric cubic profile of the plane cavity. Uniqueness is demonstrated under the restriction that the flow is independent of height. For cavities with rectangular sections, it is predicted and verified that the flow in the plane of spanwise symmetry is practically independent of the span if this exceeds 1.7 times the breadth. (Author) The fully developed flow in a vertical cavity or duct subject to horizontal heating is considered. Solutions of the Boussinesq equations are obtained for rectangular and elliptic sections, in terms of Fourier series and polynomials, respectively. Both generalize the familiar odd-symmetric cubic profile of the plane cavity. Uniqueness is demonstrated under the restriction that the flow is independent of height. For cavities with rectangular sections, it is predicted and verified that the flow in the plane of spanwise symmetry is practically independent of the span if this exceeds 1.7 times the breadth. |
| Author | McBAIN, G. D. |
| Author_xml | – sequence: 1 givenname: G. D. surname: McBAIN fullname: McBAIN, G. D. organization: School of Engineering, James Cook University, Townsville, Queensland 4811 Australia |
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| Copyright | 1999 Cambridge University Press 2000 INIST-CNRS |
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| Keywords | Elliptical section Boussinesq equations Laminar flow Rectangular cross section Natural convection Modelling Velocity distribution Cavity flow Heat transfer |
| Language | English |
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| Snippet | The fully developed flow in a vertical cavity or duct subject to horizontal heating
is considered. Solutions of the Boussinesq equations are obtained for... The fully developed flow in a vertical cavity or duct subject to horizontal heating is considered. Solutions of the Boussinesq equations are obtained for... |
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| StartPage | 365 |
| SubjectTerms | Convection and heat transfer Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Laminar flows Laminar flows in cavities Physics Turbulent flows, convection, and heat transfer |
| Title | Fully developed laminar buoyant flow in vertical cavities and ducts of bounded section |
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