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- Politecnico di Milano
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- Energy Engineering
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- Heat and Mass Transfer Scambio Termico e di Massa
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CORRELATIONS f p0.790 lnpReq 1.64q2 f 64{Re N u 2 p0.44Re0.5 0.066Re0.667 qP r0.4 N u p0.0376Re0.8 871qP r1{3 1{3 1{3 N ux 0.332Re0.5 x Pr N ux 0.0296Re0.8 x Pr { 4{9 9 16 Nu 2 N u 3.66 0.25 0.469 0.0668GzL 0.589Ra 1 { # #1 Pr 2 3 0.04GzL cooling : Tw Tb ñ n 0.3 Ra 109 C 0.59 n 1{4 N u 0.023Re0.8 P rn N u CRan heating : Tw ¡ Tb ñ n 0.4 Ra ¥ 109 C 0.10 n 1{3 # # { fluid above the surface Ts ¡ Tf { N uL N uL 1 3 1 4 fluid above the surface Ts Tf fluid below the surface Ts ¡ Tf 0.15RaL 0.27RaL fluid below the surface Ts Tf N u CRem P r1{3 C m N u CRam C m Re P r4 101 ; 4 103 q 0.683 0.466 Ra P r102 ; 104 q 0.850 0.188 Re P r4 103 ; 4 104 q 0.193 0.618 Ra P r104 ; 107 q 0.480 0.250 Re P r4 104 ; 4 105 q 0.027 0.805 Ra P r107 ; 1012 q 0.125 0.333 One-term approximation T pz, tq T8 Tm ptq T8 θ θm Ti T8 Ti T8 R Fo y sinpλq thickness F o 2 y θ C exppλ2 F oq cospλy q θ C exppλ2 F oq αt z Plane 2J1 pλq R R λ Fo 2 y θ C exppλ F oqJ0 pλy q θ C exppλ F oq αt z 2 2 Cylinder radius Sphere radius R Fo 2 y αt R z θ C exppλ2 F oq sinpλy q λ θm 3 exppλ2 F oqrsinpλq λ cospλqs 3C R R λy λ Coefficients used in the one-term approximation Bi 0.2 0.4 0.6 0.8 1 2 4 6 8 10 50 8 Plane λ 0.433 0.593 0.705 0.791 0.860 1.078 1.265 1.349 1.398 1.429 1.539 1.571 wall C 1.031 1.058 1.081 1.102 1.119 1.179 1.229 1.248 1.257 1.262 1.273 1.273 Cylinder λ 0.617 0.851 1.019 1.149 1.256 1.600 1.908 2.050 2.128 2.179 2.355 2.4048 C 1.048 1.093 1.135 1.173 1.207 1.339 1.470 1.526 1.552 1.568 1.600 1.602 Sphere λ 0.759 1.053 1.265 1.432 1.572 2.030 2.456 2.652 2.766 2.836 3.076 3.142 C 1.059 1.116 1.171 1.224 1.274 1.480 1.720 1.833 1.892 1.925 1.996 2.000 Blackbody radiation function λT rµm K s 2000…
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