Browse > Article
http://dx.doi.org/10.6111/JKCGCT.2018.28.1.063

Convective heat and mass transfer affected by aspect ratios for physical vapor transport crystal growth in two dimensional rectangular enclosures  

Kim, Geug Tae (Department of Advanced Materials and Chemical Engineering, Hannam University)
Kwon, Moo Hyun (Department of Energy and Electrical Engineering, Woosuk University)
Abstract
Natural convection of a two dimensional laminar steady-state incompressible fluid flow in a rectangular enclosure has been investigated numerically for low aspect ratios with the physical vapor transport crystal growth. Results show that for aspect ratio (Ar = L/H) range of $0.1{\leq}Ar{\leq}1.5$, with the increase in Grashof number by one order of magnitude, the total mass flux is much augmented, and is exponentially decayed with the aspect ratio. Velocity and temperature profiles are presented at the mid-width of the rectangular enclosure. It is found that the effect of Grashof number on mass transfer is less significant when the enclosure is shallow (Ar = 0.1) and the influence of aspect ratio is stranger when the enclosure is tall and the Grashof number is high. Therefore, the convective phenomena are greatly affected by the variation of aspect ratios.
Keywords
Aspect ratio; Convection;
Citations & Related Records
연도 인용수 순위
  • Reference
1 B. Wang, T.-M. Shih, B. Tian, C.-X. Wu and R.R.-G. Chang, "Mildly zigzag heat transfer affected by aspect ratios for recirculating flows in rectangular enclosures", Int. J. Heat Mass Trans. 107 (2017) 372.   DOI
2 Y.M. Seo, M.Y. Ha and Y.G. Park, "The effect of four elliptical cylinders with different aspect ratios on the natural convection inside a square enclosure", Int. J. Heat Mass Trans. 122 (2018) 491.   DOI
3 S. Yigit, R.J. Poole and N. Chakraborty, "Effects of aspect ratio on laminar Rayleigh-Benard convection of power-law fluids in rectangular enclosures: A numerical investigation", Int. J. Heat Mass Trans. 91 (2015) 1292.   DOI
4 W.M.B. Duval, N.B. Singh and M.E. Glicksman, "Physical vapor transport of mercurous chloride crystals: design of a microgravity experiment", J. Cryst. Growth 174 (1997) 120.   DOI
5 F. Rosenberger and G. Muller, "Interfacial transport in crystal growth, a parameter comparison of convective effects", J. Cryst. Growth 65 (1983) 91.   DOI
6 S.V. Patankar, "Numerical heat transfer and fluid flow" (Hemisphere Publishing Corp., Washington D.C., 1980).
7 B.L. Markham, D.W. Greenwell and F. Rosenberger, "Numerical modeling of diffusive-convective physical vapor transport in cylindrical vertical ampoules", J. Cryst. Growth 51 (1981) 426.   DOI
8 G.T. Kim, "Experimental and numerical studies on thermal convection during physical vapor transport of mercurous chloride", Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, New York (1993).
9 J.L. Lage, S.L.M. Junqueira, F.C. De Lai and A.T. Franco, "Aspect ratio effect on the prediction of boundary layer interference in steady natural convection inside heterogeneous enclosures", Int. J. Heat Mass Trans. 92 (2016) 940.   DOI
10 M.N. Hasan, S. Saha and S.C. Saha, "Effects of corrugation frequency and aspect ratio on natural convection within an enclosure having sinusoidal corrugation over a heated top surface", Int. Commun. Heat Mass 39 (2012) 368.   DOI
11 A.B. Solomona, J. van Rooyena, M. Renckena, M. Sharifpur and J.P. Meyer, "Experimental study on the influence of the aspect ratio of square cavity on natural convection heat transfer with $Al_2O_3$/water nanofluids", Int. Commun. Heat Mass 88 (2017) 254.   DOI
12 W.M.B. Duval, "Convective effects during the physical vapor transport process-- I: thermal convection", J. Mater. Processing Manu. Sci. 1 (1992) 83.
13 W.M.B. Duval, "Convective effects during the physical vapor transport process-- II: thermosolutal convection", J. Mater. Processing Manu. Sci. 1 (1993) 295.
14 W.M.B. Duval, "Transition to chaos in the physical vapor transport process - I, proceeding of the ASMEWAM winter Annual Meeting, Symposium in fluid mechanics phenomena in microgravity, ASME-WAM, New Orleans, Louisiana, Nov. 28-Dec. 3 (1993).
15 K. Kitamura, A. Mitsuishi, T. Suzuki and F. Kimura, "Fluid flow and heat transfer of natural convection adjacent to upward-facing, rectangular plates of arbitrary aspect ratios", Int. J. Heat Mass Trans. 89 (2015) 320.   DOI
16 K.L. Lee, M. Jafarian, F. Ghanadi, M. Arjomandi and G.J. Nathan, "An investigation into the effect of aspect ratio on the heat loss from a solar cavity receiver", Sol. Energy 149 (2017) 20.   DOI
17 R. Choudhary and S. Subudhi, "Aspect ratio dependence of turbulent natural convection in $Al_2O_3$/water nanofluids", Appl. Therm. Eng. 108 (2016) 1095.   DOI
18 H. Karatas and T. Derbentli, "Natural convection and radiation in rectangular cavities with one active vertical wall", Int. J. Therm. Sci. 123 (2018) 129.   DOI
19 H.T. Cheong, Z. Siri and S. Sivasankaran, "Effect of aspect ratio on natural convection in an inclined rectangular enclosure with sinusoidal boundary condition", Int. Commun. Heat Mass 45 (2013) 75.   DOI
20 M. Bouhalleb and H. Abbassi, "Natural convection of nanofluids in enclosures with low aspect ratios", Int. J. Hydrogen Energ. 39 (2014) 15275.   DOI
21 Y.-R. Li, H. Zhang, L. Zhang and C.-M. Wu, "Threedimensional numerical simulation of double-diffusive Rayleigh-Benard convection in a cylindrical enclosure of aspect ratio 2", Int. J. Heat Mass Trans. 98 (2016) 472.   DOI
22 G. Tanda, "Experiments on natural convection in watercooled ribbed channels with different aspect ratios", Int. J. Heat Mass Trans. 110 (2017) 606.   DOI
23 S. Yigit and N. Chakraborty, "Influences of aspect ratio on natural convection of power-law fluids in cylindrical annular space with differentially heated vertical walls", Thermal Science and Engineering Progress 2 (2017) 151.   DOI
24 S. Morslia, A. Sabeura and M.E. Ganaoui, "Influence of aspect ratio on the natural convection and entropy assessing the feasibility of using the heat demand-outdoor", Enrgy. Proced. 139 (2017) 29.   DOI
25 S. Yigit and N. Chakraborty, "Influences of aspect ratio on natural convection of power-law fluids in cylindrical annular space with differentially heated vertical walls", Thermal Science and Engineering Progress 2 (2017) 151.   DOI
26 G. Tanda, "Experiments on natural convection in watercooled ribbed channels with different aspect ratios", Int. J. Heat Mass Trans. 110 (2017) 606.   DOI
27 C.-Y. Wena, R.T. Tsai and K.-P. Leong, "Natural convection of magnetic fluid in a rectangular Hele-Shaw cell of different aspect ratios", Physics. Proc. 9 (2010) 181.   DOI
28 V. Kurian, M.N. Varma and A. Kannan, "Numerical studies on laminar natural convection inside inclined cylinders of unity aspect ratio", Int. J. Heat Mass Trans. 52 (2009) 822.   DOI