A method has been developed for coupling conduction in a solid with natural convection in a surrounding fluid. The problem investigated is that of steady, constant-property, two-dimensional, laminar natural convection from a vertical, heat-conducting flat plate of finite thickness with an arbitrary heating distribution in its surface. Using this method it is possible to predict the variation of temperature in the plate and the velocity and temperature profiles in the boundary layer as a function of the heating distribution and the thermal properties of the plate and fluid. The equations for conduction in the plate and convection in the boundary layer are written in finite difference form, coupled through the common heat flux at the plate-fluid interface, and solved numerically by an iterative technique. Experimental corroboration of the numerical results is provided by measuring temperatures, both with thermocouples and a laser holographic interferometer, along ceramic and glass plates heated by thin film resistance heating elements vacuum deposited on their surface. The results indicate that the degree of coupling between conduction in the plate and natural convection in the fluid is greatly influenced by the plate-fluid conductivity ratio.
Skip Nav Destination
Article navigation
Research Papers
The Coupling of Conduction With Laminar Natural Convection From a Vertical Flat Plate With Arbitrary Surface Heating
A. E. Zinnes
A. E. Zinnes
Bell Telephone Laboratories, Allentown, Pa.
Search for other works by this author on:
A. E. Zinnes
Bell Telephone Laboratories, Allentown, Pa.
J. Heat Transfer. Aug 1970, 92(3): 528-535 (8 pages)
Published Online: August 1, 1970
Article history
Received:
March 9, 1970
Online:
August 11, 2010
Citation
Zinnes, A. E. (August 1, 1970). "The Coupling of Conduction With Laminar Natural Convection From a Vertical Flat Plate With Arbitrary Surface Heating." ASME. J. Heat Transfer. August 1970; 92(3): 528–535. https://doi.org/10.1115/1.3449708
Download citation file:
Get Email Alerts
Cited By
Related Articles
Mixed
Convection From a Convectively Heated Vertical Plate to a Fluid With Internal Heat
Generation
J. Heat Transfer (December,2011)
A Fractional-Diffusion Theory for Calculating Thermal Properties of Thin Films From Surface Transient Thermoreflectance Measurements
J. Heat Transfer (December,2001)
An Experimental and Analytical Study of Radiative and Conductive Heat Transfer in Molten Glass
J. Heat Transfer (May,1972)
Steady-Periodic Green’s Functions and Thermal-Measurement Applications in Rectangular Coordinates
J. Heat Transfer (July,2006)
Related Proceedings Papers
Related Chapters
Experimental Investigation of an Improved Thermal Response Test Equipment for Ground Source Heat Pump Systems
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)
Insulating Properties of W-Doped Ga2O3 Films Grown on Si Substrate for Low-K Applications
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow