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Appl. Sci. 2020, 10, 4999 Appl. Sci. 2020, 10, x FOR PEER REVIEW 4 of 21 4 of 24 2.2. CFD Analysis Method 2.2. CFD Analysis Method Figure 1. The overall architecture. Figure 1. The overall architecture. The general forms of the three control equations mass conservation equation, momentum The general forms of the three control equations mass conservation equation, momentum conservation equation, and energy conservation equation can be expressed as follows [23,24]: conservation equation, and energy conservation equation can be expressed as follows [23,24]: ∂(ρφ) ∂(ρφ) ∂t∂t +div(ρUφ)=div Γ gradφ +S (1) + div(ρUφ) = div Γ( gradφ +)S (1) ρ Γφ Sφ where ρ is density, t is titme, U is veUlocity, Γ is the generalized diffusion coefficient, S is the generalized w h e r e i s d e n s i t y , i s t i m e , i s v e φl o c i t y , i s t h e g e n e r a l i z e d d i f f u s i o n c o φ e f f i c i e n t , i s t h e source term, and φ is the general variable. generalized source term, and φ is the general variable. In this study, the zonal shear stress transport (SST) k − ω turbulence model was adopted. It was k −ω raisedInbtyhiMssetnutdeyr,[t2h5e]zoonntahleshbeaasrisstorfesstatnradnasrpdorkt−(SωSTtu)rbulencetumrboudlenl.ceTmhiosdteulrwbualseandceopmteodd.eIlt is considered by more and more scholars as the pkre−feωrred choice in the field of fluid machinery. was raised by Menter [25] on the basis of standard turbulence model. This turbulence model Additionally, it has a good agreement with measurement data [26,27]. The transport equation is: is considered by more and more scholars as the preferred choice in the field of fluid machinery. Additionally, it has a good agreement with measurem ent data [26,27]. The transport equation is: ∂(ρk)+∂(ρkui)= ∂ Γ ∂k +G −Y (2) kkk ∂∂(tρk) ∂∂(ρxku)∂x∂∂x∂k φφ φφ +ii=jΓkj +Gk−Yk (2) ∂t ∂x ∂x ∂x ijj ∂(ρω)+∂(ρωuj) = ∂ Γ ∂ω +G −Y +D (3) ωωωω ∂t ∂x ∂x ∂x ∂(ρjωu) j j ∂(ρω)+ j =∂Γ ∂ω+G−Y+D (3) ωωωω where u and u are the avera∂gte turbul∂exnt velo∂cixty, x an∂xd x are the coordinate component, G is ij jjijj k the generation term of turbulent kinetic energy k based on the average velocity gradient, Gω is the uu xx generatioin term ofj dissipation rate ω, Yk is the dissipationiterm of kj , Yω is the dissipation term of ω, where and are the average turbulent velocity, and are the coordinate component, Γ and Γ are the effective diffusion coefficients of k and ω, respectively, D is cross-diffusion term, kkω ω GG ω is the generation term of turbulent kinetic energy k based on the average velocity gradient, which coordinates the interface between the standard k − ε turbulence model and the standard k − ω tiusrtbhuelegnecnermatoidonel.term of dissipation rate ω, Yk is the dissipation term of k , Y is the dissipation The formula of turbulent dynamic viscosity coefficient μ of the modified turbulence model is ΓΓtD kω kωω term of ω , and are the effective diffusion coefficients of and , respectively, is as follows: cross-diffusion term, which coordinates the iρnkterface 1between the standard k −ω μt = ω 1 cF2 turbulence model. max α∗ , α0ω μt turbulence model ω k − ε of the modified turbulence model is and the standard (4) The formula of turbulent dynamic viscosity coefficient as follows:PDF Image | Performance Prediction of a S-CO2 Turbine
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