rans equations造句

• The properties of Reynolds operators are useful in the derivation of the RANS equations.
• Some models include the , and SST models, which add a variety of additional equations to bring closure to the RANS equations.
• This nonlinear Reynolds stress term requires additional modeling to close the RANS equation for solving, and has led to the creation of many different turbulence models.
• It is a common misconception that the RANS equations do not apply to flows with a time-varying mean flow because these equations are'time-averaged '.
• So in principle the NS equations provide a complete and very accurate theory of lift, but practical prediction of lift requires that the effects of turbulence be modeled in the RANS equations rather than computed directly.
• To obtain equations containing only the mean velocity and pressure, we need to close the RANS equations by modelling the Reynolds stress term R _ { ij } as a function of the mean flow, removing any reference to the fluctuating part of the velocity.
• However, the nonlinearity of the Navier Stokes equations means that the velocity fluctuations still appear in the RANS equations, in the nonlinear term-\ rho \ overline { \ upsilon _ i ^ \ prime \ upsilon _ j ^ \ prime } from the convective acceleration.
• In computational fluid dynamics, the "'k omega ( " k "  ? ) turbulence model "'is a common two-equation turbulence model, that is used as a closure for the Reynolds-averaged Navier Stokes equations ( RANS equations ).