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

... 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

... ∂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

... = 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

... 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

... 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

... (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

... 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

... ( 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

... 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

... 1.3 Characterization of interfacial toughness in thin film systems 10 1.3.1 Characterization of interfacial toughness base on normal indentation 11 1.3.2 Characterization of interfacial toughness ... methods for fracture analyses in thin film systems Chapter presents a brief introduction of strain smoothing technique and G space including th...

Ngày tải lên: 10/09/2015, 08:26

... 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

... GAGATGGATAAAGTTTTAAACAGAG-3¢ and LTA1R, 5¢-TGAAGGCAAATCTCTGGAC-3¢ for the former, and LTA–M2F, 5¢-CAGCTGTTTTGCTTGAATTATG-3¢ and LTA–2R, 5¢-GAATTCATTATGTTTCAGGTTCA GGGG-3¢ for the latter The PCR products ... functions and intracellular signaling Thus, our system provides an accessible method to examine the endothelial cell biology of the mouse, and will accelerat...

Ngày tải lên: 18/02/2014, 17:20

... Pfaffian formulas to give explicit formulas for reconstruction on standard graphs For minors of standard graphs, the conductances can be computed by taking limits of the formulas for standard graphs ... Zv = Zπv and Zf = Zπf Each conductance ae can be written in terms of the Zv and Zf : Lemma 7.1 For an edge e of the standard graph Σn , let v1 and v2 be the endpoints of...

Ngày tải lên: 08/08/2014, 01:20

... = 100 μm intranasal drug delivery helps in improving the efficacy of drug by assisting in its lung delivery and biodistribution The PLGA- PEGPS341 provides controlled and targeted drug delivery ... drug- delivery therapeutics for CF and other airway diseases like COPD and asthma The nanodrug delivery system here provides controlled and sustained PS-34...

Ngày tải lên: 11/08/2014, 00:22