1. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profile, Reθ = 1928

2. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Scaled viscous stress and scaled Reynolds shear stress versus y+, Reθ = 1928

3. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profile, Reθ≃2900

4. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Scaled viscous stress and scaled Reynolds shear stress versus y+, Reθ≃2900

5. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profile, Reθ = 5024

6. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Scaled viscous stress and scaled Reynolds shear stress versus y+, Reθ = 5024

7. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profile, Reθ = 6662

8. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Scaled viscous stress and scaled Reynolds shear stress versus y+, Reθ = 6662

9. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profile, Reθ = 23,119

10. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Scaled viscous stress and scaled Reynolds shear stress versus y+, Reθ = 23,119

11. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profile, Reθ = 31,000

12. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Scaled viscous stress and scaled Reynolds shear stress versus y+, Reθ = 31,000

13. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Reθ versus Rex

14. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Local skin friction coefficient: computation (solid line), Eq. (44) from George [38] (dashed line), experimental measurements of Österlund [7] (diamonds), De Graaff and Eaton [25] (circles), and Blasius analytical laminar boundary layer line (dashed-dotted line)

15. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Accumulated skin friction coefficient: computation (solid line), empirical line according to the formula in Eq. (3) (dashed line), and Blasius analytical laminar boundary layer line (dashed-dotted line)

16. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Reynolds number based on boundary layer thickness, present computation (solid line), Prandtl's empirical relationship in Eq. (46) (dashed-dotted line), Blasius laminar flow solution in Eq. (45) (dashed line)

17. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
The computed value of von Kármán constant as a function of Reθ

18. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Ratio of the viscous stress gradient and the Reynolds stress gradient with various Reynolds numbers

19. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Mean velocity profiles in wall coordinates for Reθ = 53  to 5.79 ×105, and universal profile according to solution of Eq. (51)

20. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Reynolds shear stress profiles in wall coordinates, Reθ = 2,391 - 5.79 × 105, and universal profile according to the formula in Eq. (52)

21. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Four-layer-region of a flat plate boundary layer at Reθ = 7.13 × 104

22. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
von Kármán scaling law, computed (solid line), Österlund's experiment at Reθ = 2532 (plus), Österlund's experiment at Reθ = 5156 (circle), Österlund's experiment at Reθ = 10,161 (triangle), Österlund's experiment at Reθ = 25,779 (diamond)

23. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
Zagarola and Smits scaling law, computed (solid line), Österlund's experiment at Reθ = 2532 (plus), Österlund's experiment at Reθ = 5156 (circle), Österlund's experiment at Reθ = 10,161 (triangle), Österlund's experiment at Reθ = 25,779 (diamond)

24. Date of download: 10/26/2017
Copyright © ASME. All rights reserved.
From: A Reduced-Order Model of the Mean Properties of a Turbulent Wall Boundary Layer at a Zero Pressure Gradient
J. Fluids Eng. 2014;136(3): doi: /
Figure Legend:
George and Castillo scaling law, computed (solid line), Österlund's experiment at Reθ = 2532 (plus), Österlund's experiment at Reθ = 5156 (circle), Österlund's experiment at Reθ = 10,161 (triangle), Österlund's experiment at Reθ = 25,779 (diamond)