Supercritical Carbon Dioxide Cycle Analysis

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Supercritical Carbon Dioxide Cycle Analysis ( supercritical-carbon-dioxide-cycle-analysis )

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Table 4.4: Correction factors for the cross-flow Nusselt number from the Bell-Delaware Method Correction For Correction Factor J Notes Definitions The cut of the baffles 𝐽 =0.55+0.72𝐹 Eqn.4-15 𝑐𝑐 𝐹 =1βˆ’πœƒπ‘π‘‘π‘™ +π‘ π‘–π‘›πœƒπ‘π‘‘π‘™ Eqn.4-16 𝑐 πœ‹ πœƒπ‘π‘‘π‘™ = 2π‘π‘œπ‘ βˆ’1 𝐷𝑠 βˆ’ 2𝑙𝑐 Eqn. 4-17 𝐷𝑐𝑑𝑙 𝐷𝑠 = shell diameter 𝑙𝑐 = dist. baffle edge to shell 𝐷𝑐𝑑𝑙 = tube array diam. - tube diam. Leakage around the baffles 𝐽 =0.44 1βˆ’π‘Ÿ + 0.44 1βˆ’π‘Ÿ 𝑒π‘₯π‘βˆ’2.2π‘Ÿπ‘™π‘š Eqn.4-18 𝑙𝑠𝑠 π‘Ÿ = π΄π‘œ,𝑠𝑏 Eqn.4-19 Eqn. 4-20 𝑠 π΄π‘œ,𝑠𝑏 + π΄π‘œ,𝑑𝑏 π‘Ÿ = π΄π‘œ,𝑠𝑏 + π΄π‘œ,𝑑𝑏 π‘™π‘š π΄π‘œ ,π‘π‘Ÿ π΄π‘œ,𝑠𝑏 = shell-to-baffle leakage area π΄π‘œ,𝑑𝑏 = tube-to-baffle leakage area π΄π‘œ,π‘π‘Ÿ = cross flow area Bundle bypass flow 1π‘“π‘œπ‘Ÿπ‘+ β‰₯1/2 𝑠𝑠 𝐽𝑏 = + 1/3 Eqn.4-21 𝑒π‘₯π‘βˆ’πΆπ‘Ÿπ‘ 1βˆ’(2𝑁𝑠𝑠) π‘“π‘œπ‘Ÿπ‘+ β‰₯1/2 𝑠𝑠 𝑁+ = 𝑁𝑠𝑠 Eqn.4-22 𝑠𝑠 π‘π‘Ÿ,𝑐𝑐 π‘Ÿ =π΄π‘œ,𝑏𝑝 Eqn.4-23 𝑏 π΄π‘œ ,π‘π‘Ÿ 𝑁𝑠𝑠 = the number of sealing strips or obstructions to bypass flow Temperature Gradient Buildup 1 π‘“π‘œπ‘Ÿ 𝑅𝑒 β‰₯ 100 π½π‘Ÿ = 10 0.18 Eqn.4-24 π‘π‘Ÿ,𝑐𝑐 π‘“π‘œπ‘Ÿ 𝑅𝑒 ≀ 20 𝐢 = 1.35 π‘“π‘œπ‘Ÿ 𝑅𝑒 ≀ 100 1.25 π‘“π‘œπ‘Ÿ 𝑅𝑒 > 100 Eqn. 4-25 π‘π‘Ÿ,𝑐𝑐 = number of tube rows in cross flow zone Baffle Spacing at inlet and outlet + (1βˆ’π‘›) + (1βˆ’π‘›) 𝐽 =𝑁𝑏 βˆ’1+(𝐿𝑖 ) +(πΏπ‘œ) 𝑠++ π‘π‘βˆ’1+𝐿𝑖 +πΏπ‘œ Eqn.4-26 0.6 π‘‘π‘’π‘Ÿπ‘π‘’π‘™π‘’π‘›π‘‘ π‘“π‘™π‘œπ‘€ 𝑛 = 1 Eqn. 4-27 3 π‘™π‘Žπ‘šπ‘–π‘›π‘Žπ‘Ÿ π‘“π‘™π‘œπ‘€ 𝑁𝑏 = number of baffles + 𝐿𝑖 = entrance baffle spacing + πΏπ‘œ = outlet baffle spacing 93

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