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568 X. D. Niu et al. / Adv. Appl. Math. Mech., 5 (2010), pp. 564-572 Figure 2: Schematic diagram of forced convection problem of supercritical CO2 flow in a horizontal channel. Figure 3: Structured non-uniform grid of 61 × 1201. resolutions, ranging from 31 × 601 to 121 × 2401. In the numerical study, a typical mesh of 61 × 1201 is used. Initially, the flow field is set stationary with constant inlet temperature. The boundary conditions for macroscopic quantities used in the simula- tions are depicted in Fig. 2. In the LBM implementation, non-equilibrium bounce back conditions of the distribution functions are applied on all the boundaries to mimic the non-slip and constant heat flux condition on the channel walls and constant and zero diffusion fluxes of physical quantities in the channel inlet and outlet, respectively. The thermophysical properties of supercritical CO2 are the function of temperature and pressure and calculated by a Program Package for Thermo-physical Properties of Flu- ids database version 12.1 (PROPATH 12.1) [9]. The evaluations of the local heat transfer characteristics are based on the following local heat transfer coefficient h and Nusselt number Nu, respectively, as Nu = hd, (3.1a) λb h= λw ∂T, (3.1b) Tw − Tb ∂y w where Tb and λb are the bulk temperature and thermal conductivity and they are given by 4 Results and discussions d ρuTdy d ρuλdy T=0 , λ=0 . (3.2) b d ρudy b d ρudy 00 Fig. 4 shows the typical velocity field of supercritical CO2 flow in the channel at Rein=210 and q=400. As shown in Fig. 4, it is seen that the flow quickly becomes fully developed flow after a very short entrance. One can also observe the velocityPDF Image | Study of Forced Convection Heat Transfer of Supercritical CO2 in a Horizontal Channel by Lattice Boltzmann Method
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