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Wang et al. 5 where htot is the total enthalpy, related to the static enthalpy h by htot 1⁄4 hstat þ 12 U~2 ð6Þ The term r ðU~ Þ represents the work due to vis- cous stresses and is called the viscous work term. This model includes the internal heating by viscosity in the fluid, and is negligible in most flows. The equation of k–! shear stress transport turbu- lence (SST) model is defined as follows26 The coefficients of the new model are a linear combination of the corresponding coefficients of the underlying models. They can be defined as follows 1⁄4F11 þð1F1Þ2 ð9Þ All coefficients are given as follows @ ðkÞ @t ~ t þrðUkÞ 1⁄4 r þ þPk 0k! rk 1 1⁄4r þ r! þð1F1Þ2 !rkr! F1 in equation (9) is defined as F1 1⁄4 tanhðarg41Þ ð11Þ With " pffiffiffi ! # k 500v 4!2k arg11⁄4minmax0:09!y;y2!;CDy2 ð12Þ k! Figure 5. Computational mesh for the radial turbines: (a) mesh for the nozzle; (b) mesh for the shrouded rotor; (c) mesh for the unshrouded rotor. @ ð ! Þ þ r ð U~ ! Þ @t t !3 !2 þ!P!2 ð8Þ k3 ð7Þ 0 1⁄4 0:09 11⁄4 5=9 11⁄40:075 1⁄42 1⁄42, 1⁄40:44, ð10Þ k1 !1 2 2 1⁄4 0:0828, k2 1⁄4 1, !2 1⁄4 1=0:856 3kk3PDF Image | radial turbine supercritical compressed air energy storage
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