Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Scheme of parallel DNS for a numerical experiment of perturbed turbulent flow

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: U (filled symbols) and Θ (open symbols) for (a) channel and (b) Couette flow, perturbed with blowing ((a)–(a) and (b)–(a)) and an APGS ((a)–(b) and (b)–(b)), at two different locations: (squares) on the slot; (stars) at W+ downstream from the slot. Open and filled circles U and Θ for nonperturbed flow, respectively. Solid line, law of the wall, (1/041)ln(y+) + 50. Note the shift for APGS.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Φ balance for perturbed channel flow for y+≃38, cases (a) CHB6220; (b) CHS6220; (c) CHABR220; and (d) CHFBR220. Solid line, DΦ/Dt; – – –, diffusion; filled stars, turbulent fluxes; □·□·□, (Sm-Se) as in Eq. (4); °·°·°, balance. Note the different scales. Solid vertical lines denote the slot location, vertical dotted lines denote sections W+ and 5W+ from the slot.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Idem to Figs. 3(a)–3(d) for perturbed Couette flow, cases (a) CFB6590; (b) CFS590; (c) CFABR590; and (d) CFFBR590. Note the different scales.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Contribution of (a) ∂(〈uu〉-〈θu〉)/∂x and (b) ∂(〈uv〉-〈θv〉)/∂y to DΦ/Dt for four positions from the wall for channel flow perturbed with blowing. Solid line, y+≃5; –. –. –, y+≃18; □·□·□, y+≃38; °·°·°, y+≃137. Note the different scales.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Budget of (a)–(c)〈φu〉 and (b)–(d)〈φv〉 balances at y+ = 38 for (a)–(b) channel flow perturbed with blowing and (c)–(d) Couette flow perturbed with an APGS. °·°·°, balance; solid line, D(φu)/Dt and D(φv)/Dt; – – –, diffusion; ⋆·⋆·⋆, production; •·•·•, turbulent transport; –. –. –, dissipation; □·□·□, velocity-pressure interaction. Note the different scales.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Contribution to differences 〈φu〉 and 〈φv〉 by turbulence production for channel flow perturbed with an APGS at y+=38. ⋆·⋆·⋆, total; solid line, function of mean-field dissimilarity; – – –, function of turbulence dissimilarity.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: (a)–(a)〈u∂p/∂x〉; (a)-(b)〈θ∂p/∂x〉; (b)-(a)〈v∂p/∂x〉; and (b)–(b)〈v∂p/∂y〉 for channel flow perturbed with blowing. Solid line, on the slot; –. –. –, W+ and,., 5W+ downstream from the slot; °·°·°, nonperturbed flow (note the shift in the abscissa for plots (a)–(b) and (b)–(a)).

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Total (open symbol) and in (Q2 + Q4) (filled symbol) of (a)〈v∂p/∂x〉 and (b)〈v∂p/∂y〉 for channel flow perturbed with blowing, at y+ equal to 5, 16, 38, and 137 from the wall. Squares, on the slot; diamonds, W+; stars, 5W+ downstream from the slot; circles, nonperturbed flow.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: (a) Instantaneous pressure field; (b) two-point correlation for 〈v∂p/∂x〉; and (c) 〈v∂p/∂y〉, for channel flow perturbed with blowing, for quadrant Q4 at (rx+,y+) plane (rz+=0). Contour levels are for: (a) range (–0.50; 0.14), increments 0.1; (b)–(c) (–0.10; 0.05), 0.01. Solid line, positive and dotted line, negative. Dots denote detection point at W+ from slot and at y+=38 from the wall.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: (a)〈uθ〉oct/〈uθ〉 and (b)〈vθ〉oct/〈vθ〉 for channel flow perturbed with blowing, on the slot ((a)–(a); (b)–(a)), at W+ downstream ((a)–(b); (b)–(b)), and at 5W+ downstream ((a)–(c); (b)–(c)). Open diamonds Q11;u>0,v>0,θ>0; filled diamonds Q12;u>0,v>0,θ<0; open squares Q22;u<0,v>0,θ<0; filled squares Q21;u<0,v>0,θ>0; open stars Q32;u<0,v<0,θ<0; filled stars Q31;u<0,v<0,θ>0; open circles Q41;u>0,v<0,θ>0; filled circles Q42;u>0,v<0,θ<0.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: (a) θrms/urms and (b) (∂Θ/∂y)/(∂U/∂y) for channel flow perturbed with blowing. Filled circles developed values; °·°·°, on the slot; □·□·□, W+; ⋆·⋆·⋆, 5W+ downstream.

Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Dissimilarity of Turbulent Fluxes of Momentum and Heat in Perturbed Turbulent Flows J. Heat Transfer. 2013;135(5):051701-051701-12. doi:10.1115/1.4023358 Figure Legend: Reynolds stress 〈uu〉 and 〈uv〉; solid line, on the slot; – – –, W+; –. –. –, 5W+, and a prior comparison of RANS model with DNS data for turbulent heat fluxes 〈uθ〉 and 〈vθ〉, for channel flow perturbed with (a) blowing and (b) an APGS. Open symbols, DNS data; filled symbols, a priori RANS prediction. Squares, on the slot; diamonds, W+; stars, 5W+ downstream; °·°·°, nonperturbed values of turbulent heat fluxes.