9 年第 54 卷第 期 : 779 ~ 785 www.scichina.com csb.scichina.com SCIENCE IN CHINA PRESS,,, 4374;, 84 E-mail: w_liu@hust.edu.cn 8--7, 9--6 (: 7CB693)(: 575),,,,, α, β, γ, φ, θ ψ,,,.,,,.,., [,]. :.,.,,. Guo [3],,,,,,,.,. [4],. [5~] :.,,,,,,,,., ( ),,.,,,.,,.. :,,.., 9, 54: 779~785 Liu W, Liu Z C, Guo Z Y. Physical quantity synergy in laminar flow field of convective heat transfer and analysis of heat transfer enhancement. Chinese Sci Bull, 9, 54, doi:.7/s434-9-3-
9 年 6 月第 54 卷第 期 H, L,,. h=h/, T T T ρcp u + v = k. () x y y y y (): δt δt T T ρc ( ) d = d = p T y k y k. () y y y [3] : y Y =, =, T =, Tw > T, h u m ( Tw Tm)/ h h ; ; u m ; T w ; T m., () [3] : δt / h Nu = RePr ( ) dy, (3) umh ρc, Re = ; p ν Pr =. ν k δ t, : δ t /h=,,., (3). (3) T = cos β. (4) (4)(3), β,, Nu, [3].,.., u u p u ρ u v + = + µ. (5) x y x y y y (5): u u p u ρ u + v dy = dy+ µ dy x y x y y δ δ δ δ p u = dy µ x y w w, (6) x (6): δ δ L ρ( ) dd = dd τ d L p u x y x y L w x, (7) x, τ w, L τ L L w τ w τ w x x x, (8) d = d + d L, τ w τ w, [3].33ρum τ w =, x < L, (9) Re x / h 3ρum τ w =, x L, () Re, L. (9)()(8), (7) L m ( u) δ ρ dd x y L δ p.646ρuml 3 ρum( L L) = dd xy. () x Re L / h Re : x y X =, Y =, = u, u =, L h u m um p L L L Eu = p =, χ =, χ =, ρu L L m i+ j u i+ j p x y u = x y, p =, = u / h ρu h y j, m /, Eu ; p ; χ χ ; i, j x y., () δ / h / h ( u) dxdy δ.646χ 3χ = ( p I ) dxdy Re L / h Re, () δ /h,, δ /h=, ; I ; h=h/ : δ / h ( ) p = p I dxdy. (3) 78
, ()(3) Eu :.646χ 3χ δ / h Eu = + + ( u ) dxdy, (4) Re L / h Re, u = u cosα. (5) (5)(4), u α, u, Eu,. y, L δ L δ ( ) dd ( ) p = ρ v x y µ v dd x y, (6) y ; y p = y L δ p dd x y, (7) y v = v cosψ. (8) (8)(6), ψ, v,, y..3,,. T P,,,.,,,,.,,,. (3)(4), M u α = arccos β = arccos u, (9) u, () M, u u γ = arccos u. () (9)~(),,, u,,, : γ α β ;,, u, : γ α β., p., M p u, : p u φ = arccos p u. (), φ =9, p u, ;,, φ <9, φ,,., M, p arccos θ = p p. (3) (9), ()(3),,, p u,,, : φ α θ ;,, p u, : φ α θ. (3), θ, p,.,, θ, β, p,,., u p,, u.,,, 78
9 年 6 月第 54 卷第 期,, v, u v. u,,. M, M, 5,,,,,,. : (), : β, h ; (), p : θ, p ; (3), u : γ, PEC. PEC, Nu / Nu PEC =, (4) ( / /3 f f ), Nu f. [3], α, γ, φ, θ ψ,.,,,..., ; D = mm, L = 5 mm; d = mm, l = 8 mm, s = 5 mm. ( ρ u Φ ) ( ρ v Φ ) ( ρ w Φ ) + + x y z Φ Φ Φ = Γ + Γ + Γ + S, (5) x x y y z z, ρ ; u, v w x, y z ; Γ, [4]; S, ; Φ : Φ =; Φ = u, v, w; Φ = T.., SIMPLE,. : T w = 35 K; T = 93 K;,., 3~. 3 α Re., u α,, (4),. 4 β Re., β,, (3),. 5 γ Re., u γ,,. 6 78
φ Re., p u φ,, 3 α Re 6 φ Re. 7 θ Re., Re, θ 5, p,,,, p. 4 β Re 5 γ Re 7 θ Re 783
9 年 6 月第 54 卷第 期 8 Nu Re., Nu.8~3, 8 Nu Re p Re,. 9 f Re.,.~.6,. PEC Re 9 f Re f p u m L ρ p = f. (6) H (6), p Re.,, Re,. PEC Re.,, PEC.4~., Re, PEC.,, PEC. :, PEC,. 3 (), α, β, γ, φ, θ ψ,, β, h, ; θ, f, ; γ, PEC,. (), θ, β.,, ; p,, 784
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