A Study on the Importance of Natural Convection During Solidification in Rectangular Geometry

2011 ◽  
Vol 133 (10) ◽  
Author(s):  
Mehmet Akif Ezan ◽  
Aytunc Erek ◽  
Ibrahim Dincer
Keyword(s):  
Natural Convection ◽  
Solidification Process ◽  
Rectangular Cavity ◽  
Change Processes ◽  
Test Cases ◽  
One Dimensional ◽  
Critical Effect ◽  
Numerical Predictions ◽  
The Mathematical Model ◽  
Convection Dominated

In this study, solidification process inside a water filled rectangular cavity is numerically investigated. The mathematical model is validated by comparing the current numerical predictions with the available analytical, numerical, and experimental results for three different test cases: one-dimensional conduction dominated solidification, natural convection in rectangular cavity, and natural convection dominated solidification in rectangular cavity. For all three cases, some good agreements are achieved in terms of isotherms, interface positions, and streamlines. After validation, time-wise ice formations are represented, and comparisons are made between bare and finned wall cases. In addition to these, further analyses are carried out by neglecting the buoyancy forces to introduce the differences between natural convection dominated and conduction dominated models. The results emphasize that natural convection has a critical effect in actual phase change processes.

Natural convection in a rectangular cavity with piece-wise heated vertical walls: multiple states, stability and bifurcations

2002 ◽  
Author(s):  
Vladimir Erenburg ◽  
Alexander Gelfgat ◽  
Eliezer Kit ◽  
Pinhas Z. Bar-Yoseph ◽  
Alexander Solan
Keyword(s):  
Natural Convection ◽  
Rectangular Cavity ◽  
Vertical Walls ◽  
Stability And Bifurcations

Stability of one-dimensional natural convection flows: A numerical method

1975 ◽  
Vol 2 (3) ◽  
pp. 267-277
Author(s):  
C.N. Achara ◽  
T.E. Unny ◽  
S. Satcunanathan ◽  
D.F. Parker
Keyword(s):  
Natural Convection ◽  
Numerical Method ◽  
One Dimensional

Line-by-Line Random-Number Database for Monte Carlo Simulations of Radiation in Combustion System

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Tao Ren ◽  
Michael F. Modest
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Radiative Heat ◽  
Random Number ◽  
Test Cases ◽  
Combustion System ◽  
Absorption Coefficients ◽  
One Dimensional ◽  
The Monte Carlo Method

With today's computational capabilities, it has become possible to conduct line-by-line (LBL) accurate radiative heat transfer calculations in spectrally highly nongray combustion systems using the Monte Carlo method. In these calculations, wavenumbers carried by photon bundles must be determined in a statistically meaningful way. The wavenumbers for the emitting photons are found from a database, which tabulates wavenumber–random number relations for each species. In order to cover most conditions found in industrial practices, a database tabulating these relations for CO2, H2O, CO, CH4, C2H4, and soot is constructed to determine emission wavenumbers and absorption coefficients for mixtures at temperatures up to 3000 K and total pressures up to 80 bar. The accuracy of the database is tested by reconstructing absorption coefficient spectra from the tabulated database. One-dimensional test cases are used to validate the database against analytical LBL solutions. Sample calculations are also conducted for a luminous flame and a gas turbine combustion burner. The database is available from the author's website upon request.

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