Research is presented in this paper where the integral technique is utilized to find a primary dimensionless group for natural convection heat transfer from an isothermal vertical flat plate. The discovery of this group from fundamental principles demonstrates the value of the chronologically mature integral technique even in this advanced era where numerical techniques are much more prevalent. The integral solution in the current research compares very favorably with experimental data for a wide range of Prandtl numbers, and also with several numerical models in the archival literature as well as empirical correlations. The good agreement, coupled with the closed-form nature of the solutions, should once again affirm the usefulness of the integral technique as a research as well as an educational tool. The result of the research in this paper is the discovery of a fundamental parameter for Prandtl number dependence in the case of natural convection from an isothermal flat plate. With this fundamental parameter, the Prandtl number dependence is effectively linearized over the entire range of data available, and a simple empirical correlation derived, whose general form may be used for other geometries.
Skip Nav Destination
ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
July 11–15, 2004
Charlotte, North Carolina, USA
Conference Sponsors:
- Heat Transfer Division and Fluids Engineering Division
ISBN:
0-7918-4690-3
PROCEEDINGS PAPER
Utilizing the Integral Technique for Obtaining a New Dimensionless Group for Prandtl Number Dependence for Natural Convection Heat Transfer From an Isothermal Vertical Flat Plate
Chris J. Kobus,
Chris J. Kobus
Oakland University, Rochester, MI
Search for other works by this author on:
Vinay Raikar,
Vinay Raikar
Oakland University, Rochester, MI
Search for other works by this author on:
Laila Guessous
Laila Guessous
Oakland University, Rochester, MI
Search for other works by this author on:
Chris J. Kobus
Oakland University, Rochester, MI
Vinay Raikar
Oakland University, Rochester, MI
Laila Guessous
Oakland University, Rochester, MI
Paper No:
HT-FED2004-56292, pp. 297-301; 5 pages
Published Online:
February 24, 2009
Citation
Kobus, CJ, Raikar, V, & Guessous, L. "Utilizing the Integral Technique for Obtaining a New Dimensionless Group for Prandtl Number Dependence for Natural Convection Heat Transfer From an Isothermal Vertical Flat Plate." Proceedings of the ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. Volume 1. Charlotte, North Carolina, USA. July 11–15, 2004. pp. 297-301. ASME. https://doi.org/10.1115/HT-FED2004-56292
Download citation file:
6
Views
Related Proceedings Papers
Related Articles
Mechanical Coupling of Convective Rolls in a High Prandtl Number Fluid
J. Heat Transfer (November,1998)
Natural Convection in Low Prandtl Number Fluids With a Vertical Magnetic Field
J. Heat Transfer (August,2000)
Numerical Study of Three-Dimensional Oscillatory Natural Convection at Low Prandtl Number in Rectangular Enclosures
J. Heat Transfer (February,2001)
Related Chapters
Cooling of Steel Spherical Balls by Natural Convection and Radiation Heat Transfer in Unsteady State
Electromagnetic Waves and Heat Transfer: Sensitivites to Governing Variables in Everyday Life
Applications
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Finite Element Solution of Natural Convection Flow of a Nanofluid along a Vertical Flat Plate with Streamwise Sinusoidal Surface Temperature
International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)