1. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Physical model with coordinate system and boundary conditions

2. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Radial and axial velocity profiles at the centerlines calculated with four grids at Ha=100, τL=1, ω=0.5, and εW=1

3. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Comparisons of streamlines ((a) and (b)), +Δψ=6.8,−Δψ=0.11 and isotherms ((c) and (d)), ΔT=0.1 for Ri=1: (a) and (c) result of Ref. [34] and (b) and (d) this study

4. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Comparisons of streamlines ((a) and (b)), +Δψ=1.3,−Δψ=0.89 and isotherms ((c) and (d)), ΔT=0.1 for Ri=0.05: (a) and (c) result of Ref. [34] and (b) and (d) this study

5. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Comparison of mean equivalent conductivity variation with Richardson number for Re=100

6. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Comparisons of nondimensional radial heat flux distribution at the outer wall of a finite concentric cylindrical enclosure

7. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Streamlines with τL=0.1, ω=0.5, and εW=1: (a) Ha=0, (b) Ha=10, (c) Ha=50, and (d) Ha=100

8. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Isotherms with τL=0.1, ω=0.5, and εW=1: (a) Ha=0, (b) Ha=10, (c) Ha=50, and (d) Ha=100

9. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Streamlines (top row) and isotherms (bottom row) with Ha=100, ω=0.5, and εW=1: (i) τL=0.1, (ii) τL=1.0, and (iii) τL=10

10. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Streamlines (top row) and isotherms (bottom row) with Ha=100, τL=1.0, and εW=1: (i) ω=0, (ii) ω=0.5, and (iii) ω=1.0

11. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Streamlines (top row) and isotherms (bottom row) with Ha=100, τL=1.0, and ω=0.5: (i) εW=0.2, (ii) εW=0.6, and (iii) εW=1.0

12. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Effects of Hartmann number on Nusselt number for τL=0.1, ω=0.5, and εW=1

13. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Effects of optical thickness on Nusselt number for Ha=100, ω=0.5, and εW=1

14. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Effects of scattering albedo on Nusselt number for Ha=100, τL=1.0, and εW=1

15. Date of download: 10/31/2017
Copyright © ASME. All rights reserved.
From: Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
J. Heat Transfer. 2016;138(6): doi: /
Figure Legend:
Effects of emissivity of walls on Nusselt number for Ha=100, τL=1.0, and ω=0.5