Development of immersed boundary phase field lattice boltzmann method for solid multiphase flow interactions
Development of immersed boundary phase field lattice boltzmann method for solid multiphase flow interactions
... Remarks 142 vi Chapter Application of Immersed Boundary- Phase Field- Lattice Boltzmann Method for Solid- Multiphase Flow Interactions 161 6.1 Solid- Multiphase Flow Interactions 162 6.2 Simulation ... layer formed on solid surface Chapter presents application of immersed boundary phase- field lattice Boltzmann method to study solid- multiphase...
Ngày tải lên: 10/09/2015, 09:06
Development of immersed boundary methods for isothermal and thermal flows 1
... “so-called immersed boundary methods are not real immersed boundary methods and therefore fall out of the scope of the present 13 Chapter Introduction thesis 1. 3 Brief review of Immersed boundary ... function-vorticity formulation-based immersed boundary method; The reported immersed boundary methods for thermal flows are not capable of exactl...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 2
... Δs1 ⎟⎜ 21 Dh N ⎟ ⎜ Dh Δs1 ⎟⎜ ⎟⎜ MN ⎟ ⎜ Dh ⎠ ⎝ DhN 1Δs1 12 Dh 22 Dh DhM 12 Dh Δs2 22 Dh Δs2 DhN Δs2 DhM ΔsM ⎞ ⎟ Dh M ΔsM ⎟ ⎟ ⎟ NM Dh ΔsM ⎟ ⎠ (2. 25) ⎛ U n +1 B ,1 ⎜ n +1 U [B F ] = ⎜ B ,2 ⎜ ⎜ n ... (2. 28) ρU ∞ D 43 Chapter Governing Equations and Boundary Condition-Enforced IBM CL = FL (2. 29) ρU ∞ D where FD and FL are the drag and lift forces on the cylinder surface For...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 3
... ∂x (3. 3) and the stream function is related to the velocity by u= ∂ϕ ∂y v=− (3. 4) ∂ϕ ∂x (3. 5) Note that ω + Θ in Eq (3. 3) is the physical vorticity Eqs (3. 1) to (3. 5) together with Eqs (2 .3) and ... (3. 8) and (3. 9) and obtain predicted vorticity ω * and stream function ϕ * ; 2) Substitute ϕ * to Eqs (3. 4) and (3. 5) to calculate the predicted velocity * field u ; 3) Com...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 4
... = TB (X(s, t ), t ) (4. 4) Here Eqs (4. 1a), (4. 2), (4. 3) describe forced convection problems while Eqs (4. 1b), (4. 2), (4. 3) describe natural convection problems In Eq (4. 1b), the Boussinesq approximation ... ∫ − T Γ total Γ Lref (4. 22) where Ltotal is the total length of the immersed boundary Ltotal = ∫ Γ (4. 23) ds As shown in Eqs (4. 21) and (4. 22), the evaluation of loca...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 5
... releases constant and uniform heat flux is simulated for several low and moderate Reynolds numbers of 1 35 Chapter An Efficient IBM for Thermal Flow Problems with Heat Flux Boundary Condition ... investigations are carried out for three Rayleigh numbers of Ra = 1000, 57 00 and 5 10 while Prandtl number is kept at Pr = 0.7 The initial conditions are set as zero for...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 6
... in Fig 6. 10 To get a clear view of the ground effect on the aerodynamic forces, C H 161 Chapter Applications of Developed IBM Solvers to Simulate 2D Fluid and Thermal Flows and CV for the ... (see Fig 6. 25(a) and Fig .6. 25(c) for comparison), but higher vibration frequencies play a role of progressively reducing the longitudinal vortex spacing (see Fig 6. 26( b...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 7
... (20 07) reported the variation of the drag and lift forces for Reynolds number of 50, 100 and 200 Yoon & Yang (20 07) , by performing a parametric study, estimated flow-induced forces on two 2 27 ... terms of temperature contours (isotherms) in Figs 7. 3 and 7. 4, for isothermal condition and isoflux condition, respectively As expected, the isotherms are symmetric about...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 8
... overall width of the wake is larger The time-dependent hydrodynamic forces experienced by the fish for Re = 300 and 4000 are plotted in Figs 8. 18( a) and 8. 18( b), respectively, in forms of force coefficient ... cases of St = 0 .8 and 1.0 in Figs 8. 10(b) and 8. 10(c), a diamond-shaped region of high velocity exists immediately behind the flapping foil and there is...
Ngày tải lên: 09/09/2015, 11:17
Development of immersed boundary methods for isothermal and thermal flows 9
... ( 199 7) 2807-28 19 Liu H., Wassersug R.J., Kawachi K., A computational fluid dynamics study of tadpole swimming, J Exp Biol., 199 ( 199 6) 1245-1260 Ljachowski D.N., J techn Phys., Leningrad, 99 9 ... Stability of flows past a pair of circular cylinders in a side-by-side arrangement, J Fluid Mech., 595 (2008) 491 -507 Mohd-Yusof J., Combined immersed boundaries/B-Splines methods...
Ngày tải lên: 09/09/2015, 11:22
Development of immersed boundary methods for isothermal and thermal flows preface
... Pressure-velocity formulation-based 14 immersed boundary method 1.3.2 Stream 14 function-vorticity formulation-based immersed boundary method 18 1.3.3 Applications of immersed boundary method 20 ... Table 7.5 Comparison of the mean drag coefficients and Nusselt numbers for tandem-sphere system at Re = 40 251 Table 7.6 Comparison of the mean drag and lift coefficients...
Ngày tải lên: 09/09/2015, 11:22
Development of lattice boltzmann method for compressible flows
... 1.2 Lattice Boltzmann method 1.2.1 Basis of lattice Boltzmann method 1.2.2 Lattice Boltzmann models LB models for compressible ... kinetic method, direct simulation Monte Carlo, the lattice Boltzmann method, dissipative particle dynamics method, the molecular dynamics method, and so on 1.2 1.2.1 Lattice Boltzmann method Basis of ... because of the sim...
Ngày tải lên: 14/09/2015, 14:01
Development of organic inorganic composites by sol gel method for tooling materials
... reinforcement phase, or both in the composites Sol gel composites comprise inorganic- inorganic composites and organic- inorganic composites By doping ceramic reinforcement phase in inorganic sol gel ... DEVELOPMENT OF ORGANIC/ INORGANIC COMPOSITES BY SOL GEL METHOD FOR TOOLING MATERIALS LIU FENGMIN (B Eng., Beijing University of Aeronautics &...
Ngày tải lên: 04/10/2015, 15:57
Development of a flexible forcing immersed boundary lattice boltzmann method and its applications in thermal and particulate flows
... boundary – lattice Boltzmann method 15 1.6 Applications in thermal and moving boundary problems using immersed boundary – lattice Boltzmann method 17 1.6.1 Natural convection in a complex ... Immersed boundary – thermal lattice Boltzmann method IFEM Immersed finite element method IIM Immersed interface method ISLBM Interpolation-supplemented...
Ngày tải lên: 09/09/2015, 11:16
Development of a novel immersed boundary lattice boltzmann method and its applications
... Organization of The Thesis 23 Chapter Development of Efficient Lattice Boltzmann Method on Non-Uniform 25 Cartesian Mesh 2.1 Standard LBM 26 2.2 Taylor Series Expansion and Least Squares-base Lattice ... Non -Boundary Conforming Method 1.2.1 Sharp interface approach 1.2.2 Diffuse interface approach 1.2.2.1 Immersed boundary method 1.2.2.2 Force calculation in IBM 1.2....
Ngày tải lên: 11/09/2015, 09:59