Tham khảo tài liệu 'the mems handbook introduction & fundamentals (2nd ed) - m. gad el hak part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Burnett Simulations of Flows in Microdevices 8-11 The superscript B denotes third-order stress and heat-flux terms in the BGK-Burnett equations. The 0i are given as follows for Y 01 02 03 04 05 06 07 08 09 010 011 012 013 014 015 016 017 018 019 020 021 022 023 and 024 . Finally governing Equation is nondimensionalized by a reference length and freestream variables and is written in a curvilinear coordinate system ệ n by employing a coordinate transformation T t ệ ệ x y n n x y Wall-Boundary Conditions The no-slip- no-temperature-jump boundary conditions are employed at the wall when solving the continuum Navier-Stokes equations for Kn . In the continuum-transition regimes the non-slipboundary conditions are no longer correct. First-order slip temperature-jump boundary conditions should be applied to both the Navier-Stokes equations and Burnett equations in the range Kn . The transition regime spans the range Kn 10 the second-order slip temperature-jump conditions should be used in this regime with the Navier-Stokes as well as the Burnett equations. The Navier-Stokes equations are first-order accurate in Kn while the Burnett equations are second-order accurate in Kn. Both first- and second-order Maxwell-Smoluchowski slip temperature-jump boundary conditions are generally employed on the body surface when solving the Burnett equations. The first-order Maxwell-Smoluchowski slip-boundary conditions in Cartesian coordinates are Smoluchowski 1898 and 2 -ỡ 2P Us - ẽ f ni 3U p y 8RT ã7 s - dT 4 pT dx Is Ts - Tw 2 -a 2y a Y 1 2 I p -Ị- 8RT Pr -i ị. The subscript s denotes the flow variables on the solid surface of the body. First-order Maxwell-Smoluchowski slip-boundary conditions can be derived by considering the momentum and energy-flux balance on the wall surface. The reflection coefficient ỡand the .
