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Title: Three-dimensional natural convection in an enclosure with a corrugated surface subject to mixed boundary conditions

Abstract

Numerical solutions for three-dimensional natural convection in an enclosure with a corrugated surface have been obtained. The working fluid of air (Prandtl number = 0.71) contained in the enclosure is bounded below by a sinusoidally corrugated surface, heated under uniform heat flux conditions, above by an isothermally-cooled flat surface, and four flat, adiabatic side walls. The effects of parameters such as modified Rayleigh number, corrugation amplitude aspect ratio, enclosure length aspect ratio, inclination angle and number of corrugation cycles are presented. The solutions are obtained in a transformed coordinate system where the boundaries of the enclosure correspond to a rectangular volume. The resulting transformed governing equations and boundary conditions are solved using the SIMPLEST scheme. Results have been obtained for the following range of parameters: modified Rayleigh numbers up to 2 {times} 10{sup 5}, corrugation amplitude aspect ratios ranging from 0 to 0.6, and inclination angles of 0, 30, 45 and 60 degrees. The enclosure length aspect ratio is fixed at 5 and the enclosure width aspect ratio is held at 1, with two cycles of corrugation. Results show a direct relationship between the modified Rayleigh number and average effective heat transfer, i.e. the average Nusselt number increases if themore » modified Rayleigh number is increased. The same relationship holds true for the inclination angle and corrugation amplitude aspect ratio.« less

Authors:
; ;  [1]
  1. Howard Univ., Washington, DC (United States). Dept. of Mechanical Engineering
Publication Date:
OSTI Identifier:
438638
Report Number(s):
CONF-9603117-
ISBN 0-7918-1765-2; TRN: IM9711%%98
Resource Type:
Book
Resource Relation:
Conference: 1996 American Society of Mechanical Engineers international solar energy conference, San Antonio, TX (United States), 31 Mar - 3 Apr 1996; Other Information: PBD: 1996; Related Information: Is Part Of Solar engineering 1996; Davidson, J.H. [ed.] [Univ. of Minnesota, Minneapolis, MN (United States)]; Chavez, J. [ed.] [Sandia National Labs., Albuquerque, NM (United States)]; PB: 544 p.
Country of Publication:
United States
Language:
English
Subject:
14 SOLAR ENERGY; NATURAL CONVECTION; SOLAR COLLECTORS; MATHEMATICAL MODELS; PREDICTION EQUATIONS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FLUID FLOW; HEAT TRANSFER; THREE-DIMENSIONAL CALCULATIONS; VELOCITY; ISOTHERMS; THEORETICAL DATA

Citation Formats

Grimmett, I W, Hall, III, C A, and Glakpe, E K. Three-dimensional natural convection in an enclosure with a corrugated surface subject to mixed boundary conditions. United States: N. p., 1996. Web.
Grimmett, I W, Hall, III, C A, & Glakpe, E K. Three-dimensional natural convection in an enclosure with a corrugated surface subject to mixed boundary conditions. United States.
Grimmett, I W, Hall, III, C A, and Glakpe, E K. 1996. "Three-dimensional natural convection in an enclosure with a corrugated surface subject to mixed boundary conditions". United States.
@article{osti_438638,
title = {Three-dimensional natural convection in an enclosure with a corrugated surface subject to mixed boundary conditions},
author = {Grimmett, I W and Hall, III, C A and Glakpe, E K},
abstractNote = {Numerical solutions for three-dimensional natural convection in an enclosure with a corrugated surface have been obtained. The working fluid of air (Prandtl number = 0.71) contained in the enclosure is bounded below by a sinusoidally corrugated surface, heated under uniform heat flux conditions, above by an isothermally-cooled flat surface, and four flat, adiabatic side walls. The effects of parameters such as modified Rayleigh number, corrugation amplitude aspect ratio, enclosure length aspect ratio, inclination angle and number of corrugation cycles are presented. The solutions are obtained in a transformed coordinate system where the boundaries of the enclosure correspond to a rectangular volume. The resulting transformed governing equations and boundary conditions are solved using the SIMPLEST scheme. Results have been obtained for the following range of parameters: modified Rayleigh numbers up to 2 {times} 10{sup 5}, corrugation amplitude aspect ratios ranging from 0 to 0.6, and inclination angles of 0, 30, 45 and 60 degrees. The enclosure length aspect ratio is fixed at 5 and the enclosure width aspect ratio is held at 1, with two cycles of corrugation. Results show a direct relationship between the modified Rayleigh number and average effective heat transfer, i.e. the average Nusselt number increases if the modified Rayleigh number is increased. The same relationship holds true for the inclination angle and corrugation amplitude aspect ratio.},
doi = {},
url = {https://www.osti.gov/biblio/438638}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 31 00:00:00 EST 1996},
month = {Tue Dec 31 00:00:00 EST 1996}
}

Book:
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