Heat transfer study of double diffusive natural convection in a two-dimensional enclosure at different aspect ratios and thermal Grashof number during the physical vapor transport of mercurous bromide (Hg2Br2): Part I. Heat transfer
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A computational study of combined thermal and solutal convection (double diffusive convection) in a sealed crystal growth reactor is presented, based on a two-dimensional numerical analysis of the nonlinear and strongly coupled partial differential equations and their associated boundary conditions. The average usselt numbers for the source regions are greater than those at the crystal regions for 9.73×103≤Grt≤6.22×105. The average Nusselt numbers for the source regions varies linearly and increases directly with the thermal Grashof number form 9.73×103≤Grt≤6.22×105 for aspect ratio, Ar (transport length-to-width) = 1 and 2. Additionally, the average Nusselt numbers for the crystal regions at Ar = 1 are much greater than those at Ar = 2. Also, the occurrence of one unicellular flow structure is caused by both the thermal and solutal convection, which is inherent during the physical vapor transport of Hg2Br2. When the aspect ratio of the enclosure increases, the fluid movement is hindered and results in the decrease of thermal buoyancy force.
Abstract
A computational study of combined thermal and solutal convection (double diffusive convection) in a sealed crystal growth reactor is presented, based on a two-dimensional numerical analysis of the nonlinear and strongly coupled partial differential equations and their associated boundary conditions. The average usselt numbers for the source regions are greater than those at the crystal regions for 9.73×103≤Grt≤6.22×105. The average Nusselt numbers for the source regions varies linearly and increases directly with the thermal Grashof number form 9.73×103≤Grt≤6.22×105 for aspect ratio, Ar (transport length-to-width) = 1 and 2. Additionally, the average Nusselt numbers for the crystal regions at Ar = 1 are much greater than those at Ar = 2. Also, the occurrence of one unicellular flow structure is caused by both the thermal and solutal convection, which is inherent during the physical vapor transport of Hg2Br2. When the aspect ratio of the enclosure increases, the fluid movement is hindered and results in the decrease of thermal buoyancy force.
참고문헌 (23)
- A.A. Kaplyanskii, "The soft mode properties in Raman spectra of improper ferroelastics Hg2Cl2 and Hg2Br2", Solid State Commun, 21, pp.1023~ (1977)
- M. Dalmon, "Softening of acoustic and optical modes in ferroelstic phase in Hg2Br2", Solid State Commun, 28, pp.815~ (1978)
- N.B. Singh, "Mercurous Bromide acoustooptic devices", J. Cryst. Growth, 89, pp.527~ (1988)
- N.B. Singh, "Growth and characterization of mercurous halide crystals: mercurous bromide system", J. Cryst. Growth, 137, pp.155~ (1994)
- J.S. Kim, "Growth of Hg2Cl2 and Hg2Br2 single crystals by physical vapor transport", J. Cryst. Growth, 310, pp.2457~ (2008)
- P.M. Amarasinghe, "Growth of high quality mercurous halide sing crystals by physical vapor transport method for AOM and radiation detection applications", J. Cryst. Growth, 450, pp.96~ (2016)
- T.H. Kim, "In-depth investigation of Hg2Br2 crystal growth and evolution", Materials, 12, pp.4224~ (2019)
- O. Kwon, "Comparative analysis of Hg2Br2 and Hg2BrxCl2x crystals grown via PVT", Crystals, 10, pp.1096~ (2020)
- L. Liu, "Long wavelength infrared acousto-optic crystal Hg2Br2: Growth optimization and photosensitivity investigation", J. Alloys Compd, 874, pp.159943~ (2021)
- P.M. Amarasinghe, "Mercurous Bromide (Hg2Br2) Acousto-Optic Tunable Filters (AOTFs) for the Long Wavelength Infrared (LWIR) Region", J. Electron. Mater, 50, pp.5774~ (2021)
- J.-Q. Yang, "Numerical investigation of double-diffusive convection in rectangular cavities with different aspect ratio I: High-accuracy numerical method", Comput. Math. Appl, 94, pp.155~ (2021)
- Q. Liu, "Multiplerelaxation-time lattice Boltzmann model for double-diffusive convection with Dufour and Soret effects", Int. J. Heat Mass Transf, 139, pp.713~ (2019)
- M. Chakkingal, "Effect of double-diffusive convection with cross gradients on heat and mass transfer in a cubical enclosure with adiabatic cylindrical obstacles”", Int. J. Heat Fluid Flow, 83, pp.108574~ (2020)
- G.A. Meften, "Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum", Appl. Math. Comput, 392, pp.125694~ (2021)
- S. Hamimid, "Limit the buoyancy ratio in Boussinesq approximation for doublediffusive convection in binary mixture", Phys. Fluids, 33, pp.036101~ (2021)
- A. Chauhan, "Effect of polymer additives and viscous dissipation on natural convection in a square cavity with differentially heated side walls", Int. J. Heat and Mass Transf, 175, pp.121342~ (2021)
- 김극태, "Effects of Solutally Dominant Convection on Physical Vapor Transport for a Mixture of Hg2Br2 and Br2 under Microgravity Environments", Korean Chemical Engineering Research(HWAHAK KONGHAK), 52(1), pp.75~80 (2014), 한국화학공학회[DOI]
- 김극태, "Numerical Analysis for Impurity Effects on Diffusive-convection Flow Fields by Physical Vapor Transport under Terrestrial and Microgravity Conditions: Applications to Mercurous Chloride", 공업화학, 27(3), pp.335~341 (2016), 한국공업화학회
- 하성호, "Preliminary Studies on Double-Diffusive Natural Convection During Physical Vapor Transport Crystal Growth of Hg2Br2 for the Spaceflight Experiments", Korean Chemical Engineering Research(HWAHAK KONGHAK), 57(2), pp.289~300 (2019), 한국화학공학회[DOI]
- 김극태, "Double-diffusive convection affected by conductive and insulating side walls during physical vapor transport of Hg₂Br₂", 한국결정성장학회지, 30(3), pp.117~122 (2020), 한국결정성장학회[DOI]
- J.A. Weaver, "Natural convection due to horizontal temperature and concentration gradients -1. Variable thermophysical property effects", Int. J. Heat and Mass Transf, 34, pp.3107~ (1991)
- 김극태, "Studies on Nusselt and Sherwood number for diffusion-advective convection during physical vapor transport of Hg2Br2", 한국결정성장학회지, 31(3), pp.127~136 (2021), 한국결정성장학회[DOI]
- S.V. Patankar, "Numerical Heat Transfer and Fluid Flow", pp.131~ (1980), Hemisphere Publishing Corp