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An improved boundary layer scaling with ramp heating on a sloping plate

journal contribution
posted on 06.12.2017, 00:00 authored by S Saha, Mohammad KhanMohammad Khan
A scaling analysis for the natural convection boundary layer adjacent to an inclined semi-infinite plate subject to a non-instantaneous heating in the form of an imposed wall temperature which increases linearly up to a prescribed steady value over a prescribed time is reported. The development of the boundary layer flow from start-up to a steady-state has been described based on scaling analyses and verified by numerical simulations. The analysis reveals that, if the period of temperature growth on the wall is sufficiently long, the boundary layer reaches a quasi-steady mode before the growth of the temperature is completed. In this mode the thermal boundary layer at first grows in thickness and then contracts with increasing time. However, if the imposed wall temperature growth period is sufficiently short, the boundary layer develops differently, but after the wall temperature growth is completed, the boundary layer develops as though the startup had been instantaneous. The steady state values of the boundary layer for both cases are ultimately the same.

History

Volume

55

Issue

9-10

Start Page

2268

End Page

2284

Number of Pages

17

ISSN

0017-9310

Location

United Kingdom

Publisher

Elsevier

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Queensland University of Technology; School of Engineering and Technology (2013- ); TBA Research Institute;

Era Eligible

Yes

Journal

International journal of heat and mass transfer.