Scaling Analysis of the Unsteady Natural Convection Boundary Layer Adjacent to an Inclined Plate for Pr > 1 Following Instantaneous Heating | Zendy

Suvash C. Saha | Zendy; Feng Xu | Zendy; Md. Mamun Molla | Zendy

Open Access

Scaling Analysis of the Unsteady Natural Convection Boundary Layer Adjacent to an Inclined Plate for Pr > 1 Following Instantaneous Heating

Author(s) -

Suvash C. Saha,

Feng Xu,

Md. Mamun Molla

Publication year - 2011

Publication title -

journal of heat transfer

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.722

H-Index - 126

eISSN - 1528-8943

pISSN - 0022-1481

DOI - 10.1115/1.4004336

Subject(s) - boundary layer , natural convection , mechanics , scaling , convection , flow (mathematics) , stage (stratigraphy) , boundary layer thickness , materials science , physics , geology , geometry , mathematics , paleontology

The unsteady natural convection boundary layer adjacent to an instantaneously heated inclined plate is investigated using an improved scaling analysis and direct numerical simulations. The development of the unsteady natural convection boundary layer following instantaneous heating may be classified into three distinct stages including a start-up stage, a transitional stage and a steady state stage, which can be clearly identified in the analytical and numerical results. Major scaling relations of the velocity and thicknesses and the flow development time of the natural convection boundary layer are obtained using triple-layer integral solutions and verified by direct numerical simulations over a wide range of flow parameters

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