Scaling Analysis of the Unsteady Natural Convection Boundary Layer Adjacent to an Inclined Plate for Pr > 1 Following Instantaneous Heating-Reference-Cited by-同舟云学术

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

Published:2011-08-31 Issue:11 Volume:133 Page:
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Saha Suvash C.¹,Xu Feng²,Mamun Molla Md³

Affiliation:

1. School of Engineering Systems, Queensland University of Technology, Brisbane QLD 4001, Australia

2. Department of Mechanics, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

3. Department of Mechanical Engineering and Manufacturing Engineering, University of Manitoba, Winnipeg, R3T 5V6, Canada

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/doi/10.1115/1.4004336/5584486/112501_1.pdf

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