Natural convection boundary-layer adjacent to an inclined flat plate subject to sudden and ramp heating

Saha, Suvash C., Patterson, John C., and Lei, Chengwang (2010) Natural convection boundary-layer adjacent to an inclined flat plate subject to sudden and ramp heating. International Journal of Thermal Sciences, 49 (9). pp. 1600-1612.

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Abstract

The natural convection thermal boundary-layer adjacent to an inclined flat plate subject to sudden heating and a temperature boundary condition which follows a ramp function up until a specified time and then remains constant is investigated. The development of the flow from start-up to a steady state has been described based on scaling analyses and verified by numerical simulations. Different flow regimes based on the Rayleigh number are discussed with numerical results for both boundary conditions. For ramp heating, the boundary-layer flow depends on the comparison of the time at which the ramp heating is completed and the time at which the boundary layer completes its growth. If the ramp time is long compared with the steady-state time, the layer reaches a quasi-steady mode in which the growth of the layer is governed solely by the thermal balance between convection and conduction. On the other hand, if the ramp is completed before the layer becomes steady; the subsequent growth is governed by the balance between buoyancy and inertia, as for the case of instantaneous heating.

Item ID: 16921
Item Type: Article (Refereed Research - C1)
Keywords: natural convection; ramp heating; boundary layer; unsteady flow; Prandtl number
ISSN: 1290-0729
Date Deposited: 15 Apr 2011 04:20
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 100%
Citation Count from Web of Science Web of Science 2
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