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Heat Transfer Research
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ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018025783
pages 565-580

STUDY OF LAMINAR NATURAL CONVECTION OF AN ISOTHERMAL VERTICAL PLATE USING SCHLIEREN PHOTOGRAPHY AND NUMERICAL METHODS

Christopher Hampel
University of Portland, Portland, OR, USA
Hollis Crowder
University of Portland, Portland, OR, USA
Heather Dillon
University of Portland

ABSTRACT

The objective of this research has been to build the foundation for developing more advanced mathematical models for heat transfer research by understanding, with various techniques, the commonly accepted solution of laminar flow due to natural convection on an isothermal vertical plate. To form this foundation, a numerical solution to the Navier-Stokes equations was solved using traditional numerical methods, and schlieren photography was applied to a physical experiment of the plate to allow flow visualization. Schlieren images illustrated laminar boundary layer formation that was expected due to the temperature difference applied. Boundary layer thickness measurements taken from schlieren images were compared well with a theoretical correlation. In addition, the Boussinesq approximation for density was graphed for comparison to linearly interpolated density values associated with schlieren image color scale to approximate density values. Results showed that the image interpolation technique was in good agreement with the Boussinesq approximation. Furthermore, theoretical velocity and temperature profiles were solved with the similarity solution of the governing Navier-Stokes equations.


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