1. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Typical PVT reactor for SiC crystal growth with simplified geometry Figure Legend:

2. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Heat flow in the PVT reactor through three ways of heat transfer Figure Legend:

3. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Validation of the numerical solver for the thermal radiation model. The problem is adopted from Ref. [36], with =0.5 and α=120deg. Figure Legend:

4. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Grid layout (a) for the magnetic vector potential field, 111 × 65, (b) for the temperature field, 83 × 33, and (c) zoom-in view of the growth chamber and the ingot Figure Legend:

5. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Variations of marginal changes Figure Legend:

6. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 The magnetic vector potential field of case 0: (a) the dimensional magnitude Wb/m, (b) the dimensionless imaginary (left side) and real (right side) parts, and (c) the dimensionless eddy power Figure Legend:

7. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 The dimensionless temperature field of case 0 Figure Legend:

8. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Comparison of the temperature fields among four cases (thermal isolation not shown): (a) case 0, (b) case 1, (c) case 2, and (d) case 3 Figure Legend:

9. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 (a)–(d) Temperature field in the ingot from case 0 to case 3, respectively, (e) temperature percentage difference (θ−θ2)/θ2 (%), and (f) normalized net radiative flux, − ∇ qradi″, around the growth chamber Figure Legend:

10. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Variations of (a) radiation ratio, %, (b) (θmax−θ2)/θ2, %, (c) (θ1−θ2)/θ2, %, (d) θ2 (reoriented), and (e) Δθ, %, with respect to log10(Π′cond/Πcond) (x-axis), log10(Π′radi, J/Πradi, J) (y-axis), and d′/d (surfaces). The contour on zero-plane corresponds to d′/d=1. The values of d′/d are marked out besides the three surfaces when their differences are visible. Figure Legend:

11. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Variation of θ2 with respect to Π′cond/Πcond. The square and circle have Π′radi, J/Πradi, J=10Π′cond/Πcond, while the cross and asterisk have Π′radi, J/Πradi, J=0.1Π′cond/Πcond. Figure Legend:

12. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Variations of (a) log10(λ) and (b) abs(Δθ), %, with respect to Π′cond/Πcond and Π′radi, J/Πradi, J. The curves with Δθ=0 and λ=1 are highlighted, and the four cases are located. Figure Legend:

13. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Overestimation ratio between the ideal radiative power and the actually net radiative power, received by the ingot surface Figure Legend:

14. Date of download: 7/6/2016 Copyright © ASME. All rights reserved. From: Heat Transfer Inside the Physical Vapor Transport Reactor J. Heat Transfer. 2016;138(10):102002-102002-13. doi:10.1115/1.4033539 Phase diagrams: (a) log10(Π′cond/Πcond) on x-axis and log10(Π′radi, J/Πradi, J) on y-axis, and (b) T′∞/T∞ on x-axis and Jc′/Jc on y- axis Figure Legend: