Anomalous heat transfer enhancement in separated flow over a zigzag-shaped dense package of inclined grooves in a channel wall at different temperature boundary conditions

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Resumo

Rapid development of the anomalous enhancement of separated turbulent Re = 6000 air flow and heat transfer in an in-line single-row package of 31 inclined grooves, 0.2 in dimensionless depth, in a singled-out longitudinal region of the wall of a narrow channel is studied. It is due to the interference of vortex wakes behind the grooves and the acceleration in the channel flow core with the formation of a zone of ultrahigh longitudinal velocity. The wave-shaped parameter characteristics are stabilized in the region of approximately 15th groove, whereupon the oscillation amplitudes are moderately reduced. The return flows in the grooves are enhanced with distance from the entry section, the minimum negative friction diminishing from −2 to −4. The total relative heat removal from the structured region increases at q = const by a factor of approximately 2.75 and by the factor of two at T = const with increase in the relative hydraulic losses by the factor of 1.7, as compared with the case of a plane–parallel channel. The relative heat removal from the surface bounded by the contour of the 20th inclined groove amounts to 3.7 (q = const) with increase in the hydraulic losses by the factor of 2.2. An increase in the local maximum of the longitudinal velocity up to a factor of 1.5, as compared with the mean-mass velocity, can be observable.

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Sobre autores

S. Isaev

St. Petersburg State Marine Technical University; St. Petersburg State University of Civil Aviation

Autor responsável pela correspondência
Email: isaev3612@yandex.ru
Rússia, St. Petersburg, 190121; St. Petersburg, 196210

O. Mil’man

Scientific and Production Implementation Company "Turbokon"

Email: isaev3612@yandex.ru
Rússia, Kaluga, 248010

A. Klyus

St. Petersburg State University of Civil Aviation

Email: isaev3612@yandex.ru
Rússia, St. Petersburg, 196210

D. Nikushchenko

a St. Petersburg State Marine Technical University

Email: isaev3612@yandex.ru
Rússia, St. Petersburg, 190121

D. Khmara

St. Petersburg State Marine Technical University

Email: isaev3612@yandex.ru
Rússia, St. Petersburg, 190121

L. Yunakov

Baltic State Technical University VOENMEKH

Email: isaev3612@yandex.ru
Rússia, St. Petersburg, 190005

Bibliografia

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2. Fig. 1. A narrow channel with 31 inclined grooves with a system of Cartesian coordinates x, y, z (a) and zigzag corridor packages of grooves on the channel wall (b). Longitudinal section of grooves in the channel in the middle of transitions from spherical segments to trenches (c). Multiblock computational grids on a structured section of the wall (d). 1 is a detailed Cartesian grid covering the grooves; 2 is an O–type curved grid in the vicinity of each groove; 3 is an oblique “patch” grid superimposed on the central zone of the groove. The upper wall of the channel is not shown.

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3. Fig. 2. Comparison of the relative friction distributions f/fp(x) in three longitudinal sections of the channel (a) with 31 grooves and in enlarged fragments in the inlet (b), middle (c) and outlet (d) sections. Curves: 1 – z = 1.245, 2 – (-1.245), 3 – 0.

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4. Fig. 3. Comparison of the distributions of the static pressure drop P–Ppl(x) in three longitudinal sections of the channel (a) with 31 grooves and in enlarged fragments in the inlet (b), middle (c) and outlet (d) sections: z on curves 1-3 is the same as in Fig. 2.

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5. Fig. 4. Comparison of the Num/Numpl distributions integrated along the transverse (a, c, e) and longitudinal (b) bands on the heated channel wall under boundary conditions q = const (1) and T = const (2). The enlarged fragments of Num/Numpl(x) correspond to the input (c), the middle (d) and exit (e) sections of the channel.

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6. Fig. 5. Comparison of local Nu/Nupl distributions along the longitudinal section at z = 1.245(a) for boundary conditions q = const(1) and T = const(2). The enlarged fragments of Num/Numpl(x) correspond to the same channel sections as in Fig. 4.

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7. Fig. 6. Comparison of local Nu/Nupl distributions along the longitudinal section at z = 0(a) for boundary conditions q = const(1) and T = const(2). The enlarged fragments of Num/Numpl(x) correspond to the same channel sections as in Fig. 4.

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8. Fig. 7. Comparison of local Nu/Nupl distributions along the longitudinal section at z = -1.245(a) for boundary conditions q = const(1) and T = const(2). The enlarged fragments of Num/Numpl(x) correspond to the same channel sections as in Fig. 4.

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9. Fig. 8. Comparison of the surface distributions of relative friction f/fpl (a–c) and relative static pressure drops P–Ppl (d–e) for the first (a, d), 20th (b, e) and 30th (c, e) grooves.

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10. Fig. 9. The ratio of the surface distributions of relative friction F/FPL (a), pressure drop P–ppl (B) and relative temperature TW/twpl (c) at Q = const in the middle section of the selected groove: 1 – 1st; 2 – 5th; 3 – 10th; 4 – 15th; 5 – 20th; 6 – 25th-p. 7 – 30.

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11. Fig. 10. Comparison of the surface distributions of the relative Nusselt number Nu/Nupl under boundary conditions q = const (a–b) and T = const (d–e) for the same grooves as in Fig. 8.

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12. Fig. 11. Comparison of the distribution of local relative Nusselt numbers nu/nupl(s) in the middle sections of the grooves (A, B) and integrated along the transverse and longitudinal bands num/numpl along the longitudinal S (V, g) and transverse T(D, E) coordinates of the selected grooves under boundary conditions Q = const (a, c, e) and T = const (B, D, E): 1 – 1st; 2 – 5th; 3 – 10th; 4 – 15th; 5 – 20th; 6 – 25th; 7– 30th.

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13. Fig. 12. Dependences on the longitudinal coordinates of the centers 1-, 5-, 10-, 15-, 20-, 25-, 30- relative total heat transfer grooves Numm/Nummpl (marked with round dots) for surfaces bounded by contours of selected grooves (curves 1, 2), local hydraulic losses of sections with selected grooves (curve 3, marked with square dots) and the thermal and hydraulic efficiency of the TGE of selected local surface areas (curves 4, 5, marked with rhombic dots) at q = const (1 – red dots) and T = const (2 – green dots). It also shows the dependence of the increasing static pressure drops ∆P (curve 6 with round dots), presented in Table 2.

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14. Fig. 13. Transformation of the profiles of the longitudinal component of the velocity U(Z) in the longitudinal sections of the channel corresponding to the centers of the selected grooves, at U = 0.5: 1 – 1st; 2 – 5th; 3 – 10th; 4 – 15th; 5 – 20th; 6 – 25th; 7th – 30th.

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15. Fig. 14. Evolution of the profiles of the longitudinal velocity component U(z, y) in the longitudinal sections of the channel corresponding to the centers of the selected grooves 1 (a), 5 (b), 10 (c), 15 (d), 20 (e) and 30- th (e).

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16. Fig. 15. Comparison of the dependencies on the vertical coordinate of the Cartesian velocity components U (a, b), V(c), W(d), k(e), and Rmt(e) in the centers of the transition sections from the entrance spherical segments to the trench inserts of the selected grooves: 1 – 1st; 2 – 5th; 3rd – 10th; 4th – 15th; 5th - 20th; 6th - 25th; 7th - 30th. The graphs in Fig. 12b are plotted on a large scale.

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17. Fig. 16. comparison of dependences on the vertical coordinate of Cartesian speed components U (A), V (B), W (C), k (D), Reµt (E) in the Centers of trench inserts of selected grooves: 1 – 1st; 2-5th; 3 – 10th; 4-15th; 5 – 20th; 6-25th; 7 – 30th.

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