two phase flow source term jacobians for surface tension

... best performanced cross-section of microchannels for two phase flow is the important task to determine the optimal design of two phase flow microchannel heat exchangers In this study, for the ... heat flux for all of cases 635 Kỷ yếu hội nghị khoa học công nghệ toàn quốc khí - Lần thứ IV In addition, to determine the best performanced cross-section of microchannels for two phase flow, the ... understand the effects of microchannel geometry on heat transfer behaviors for two phase flow in order to get an optimal design For the present study, four heat exchangers with differences of cross...

Ngày tải lên: 16/01/2016, 13:29

... Dispersed Flow 80 3.4.7 Models for Stratified Flow (Horizontal Pipes) 82 3.4.8 Models for Transient Two- Phase Flow 83 3.4.8.1 85 3.4.8.2 Transient Slug Flow 86 3.4.8.3 3.5 Transient Two- Phase Flow ... 3.5.5 Steady Two- Phase Flow Pressure Drop in Transient Flow 209 Pressure Drop in Flow Restriction 21 3.5.5.1 21 3.5.5.2 3.6 Steady-State, Two- Phase- Flow Pressure Drop Transient Two- Phase- Flow Pressure ... Transient Two- Phase Flow in Rod Bundles 86 Pressure Drop in Two- Phase Flow 87 3.5.1 Local Pressure Drop 87 3.5.2 Analytical Models for Pressure Drop Prediction 88 3.5.2.1 Bubbly Flow 88 3.5.2.2 Slug Flow...

Ngày tải lên: 02/04/2014, 15:22

... electromagnetic radiation and convection The Two Phase Flow, Phase Change and Numerical Modeling proposed method solves simultaneously the heat equation for the three phases (solid, liquid and vapor), computing ... suffers while irradiate by the power laser beam are the following: phase 1, for ≤ t < t top ; - phase 2, for t top ≤ t < t vap ; phase 3, for t ≥ t vap , where t top and t vap are the starting time ... between the boundaries C l (t) and C v (t) The power flow on the processed surface corresponding to the liquid state is given by: Two Phase Flow, Phase Change and Numerical Modeling r A ⋅ P −...

Ngày tải lên: 19/06/2014, 12:20

... transfer of phase changing refrigerant is high and varies 28 Two Phase Flow, Phase Change and Numerical Modeling with flow regimes occurring along the tube passes Flow on the secondary surfaces ... as follows: For tubes: (P ) r For return bends: ou = ( Pr )in − ( ΔPr ) l (2a) 34 Two Phase Flow, Phase Change and Numerical Modeling (P ) r ou = ( Pr )in − ( ΔPr )b (2b) For single phase, subcooled ... coefficient for CO2 For single phase, the heat transfer coefficient hr is calculated using the correlation proposed by Petukhov and Kirillov reported by (Kakaç et al., 1998) For two phase flow, the...

Ngày tải lên: 19/06/2014, 12:20

... 50 Two Phase Flow, Phase Change and Numerical Modeling Fig 16 Case of application for circuiting In the event of frost formation it is expected to be more uniform and to occur ... an 52 Two Phase Flow, Phase Change and Numerical Modeling increasingly cold air flowing across the coil In (Fig.19) and considering a representative circuit, the temperature distribution for CO2 ... departure from true countercurrent flow to determine the true temperature difference The correction factor F for a multi-pass and crossflow heat exchanger and given for a two- pass shell-and-tube heat...

Ngày tải lên: 19/06/2014, 12:20

... The results showed different type of flow patterns, as Couette-Taylor flow or single and double vortex flow, can be created in a wide 92 Two Phase Flow, Phase Change and Numerical Modeling range ... the flow and the heat transfer 98 Two Phase Flow, Phase Change and Numerical Modeling in isolated microchannels The effect of the main parameters, of which depends the FMHP operation, can be determined ... temperature profile obtained for a) Tsf = 10 °C, b) Tsf =20 °C, and c) Tsf = 40 °C, and copper plate axial temperature profile for Tsf = 40 °C (d) 104 Two Phase Flow, Phase Change and Numerical...

Ngày tải lên: 19/06/2014, 12:20

... caster For the Sovel slab caster that normally casts slab sizes of 130x390 and 130x360 (mm x mm) two chemical analyses for steel were examined depending on the selected carbon 136 Two Phase Flow, Phase ... The need for data with respect to the 122 Two Phase Flow, Phase Change and Numerical Modeling mechanical properties of steels and specifically creep at high temperatures as a means for controlling ... The methodology applied for tackling the continuous casting problem for different carbon steel grades from the metallurgical point of view is maybe 124 Two Phase Flow, Phase Change and Numerical...

Ngày tải lên: 19/06/2014, 12:20

... 146 Two Phase Flow, Phase Change and Numerical Modeling some ideas for applying static soft reduction in practice at the Stomana caster have been proposed; in this case, more stringent demands for ... problem arises because of two last two terms in J which not become smaller with increasing τ as this is the case for the integral contribution For large time steps these terms are dubious Improper ... not presented at different casting speeds For productivity reasons, the maximum attainable casting speeds are selected in normal 144 Two Phase Flow, Phase Change and Numerical Modeling practice,...

Ngày tải lên: 19/06/2014, 12:20

... 170 Two Phase Flow, Phase Change and Numerical Modeling Diamond, P.H et al (1994) Self-regulating shear flow turbulence: a paradigm for the L to H transition, Physical ... highest levels of turbulence around the axis, while for high Re, the turbulence is more uniform The profiles shown in Fig 180 Two Phase Flow, Phase Change and Numerical Modeling Will-be-set-by-IN-TECH ... radial I profile for any value of Re Fig shows the profile of I for two values of the Reynolds number For low Re and almost all radial positions, the swirling jet is more turbulent than for high Re,...

Ngày tải lên: 19/06/2014, 12:20

... Axisymmetric Swirl and Applications for Enhanced Heat Transfer and Flow Mixing Fig 12 Impact of Re and θ on Azimuthal Velocity Field 203 204 Two Phase Flow, Phase Change and Numerical Modeling ... L/D=12 Fig 14 Temperature Bin Count for All Elements with L/D = 12 Mesh Fig 15 Temperature Bin Count for All Elements with L/D = Mesh 206 Two Phase Flow, Phase Change and Numerical Modeling As ... confirmed that for S ≤ 0.058, the flow field closely approximates the flow field for an impinging jet, S = 0, with insignificant enhancement to the heat transfer Fig 16 Velocity Flow Field for the Mesh...

Ngày tải lên: 19/06/2014, 12:20

... Growth 204, 4: 512 240 Two Phase Flow, Phase Change and Numerical Modeling For pulsed laser ablation of metals, the ultrafast heating mechanisms perform great disparity for femtosecond and nanosecond ... before laser pulse irradiation Thus, the initial conditions for the multi-layer metal film assembly are: Te(1) ( t = ) = Te( ) (t = 0) = ⋅⋅⋅ = Te( i ) (t = 0) = 300K (9) 242 Two Phase Flow, Phase ... 250 Two Phase Flow, Phase Change and Numerical Modeling at depths of 150 nm and 200 nm for the substrate layer It indicates the phonon subsystem is heated in priority from substrate to the surface...

Ngày tải lên: 19/06/2014, 12:20

... labs) 272 Two Phase Flow, Phase Change and Numerical Modeling All these delayed effects combine in single -phase pressure drop term and two- phase pressure drop term acquiring 180° out-of -phase fluctuations ... two- fluid model for flow of twophase steam-water mixture Simplification of assuming the same interfacial pressure for the two phases, with equal phasic pressures as well, is considered 264 Two ... of mass and energy for a single -phase fluid and a two- phase fluid, respectively Single -phase flow equations read: ∂ρ ∂G + =0 ∂t ∂z ∂ ( ρh) ∂t + ∂ ( Gh ) ∂z (6) = Q ''' (7) Two- phase mixture is...

Ngày tải lên: 19/06/2014, 12:20

... will be covered by the slip flow phenomenon and the convective heat transfer related to the slip flow on the hydrophobic surface In the two- phase flow, various two- phase heat transfers including ... ,SL ) n=1 (6) 316 Two Phase Flow, Phase Change and Numerical Modeling here, γ is the Cassie-Baxter surface tension between liquid and gas, the γi,SG is the solid gas surface tension of every component ... 10838–10843 (2004) 308 Two Phase Flow, Phase Change and Numerical Modeling Lin, L., Ponnappan, R., Two- phase high capacity spray cooling loop - Nozzle orientation effects and performance results Collection...

Ngày tải lên: 19/06/2014, 12:20

... 320 Two Phase Flow, Phase Change and Numerical Modeling 3.2 Two- phase heat transfer 3.2.1 Evaporation Evaporation is one of major two- phase heat transfer mechanisms ... parameters such as viscosity, surface tension and inertial forces, cross sectional shapes on the formation of liquid film in micro-scale two phase flow In addition, under flow boiling conditions, ... effects on a flow boiling are less, because an external flow is dominant comparing with surface force However, in micro scale, the surface force is predominant because of a higher surface to volume...

Ngày tải lên: 19/06/2014, 12:20

... Two Phase Flow, Phase Change and Numerical Modeling for the ethanol case At large capillary numbers, all data are larger than the Taylor’s law Inertial force is often neglected in micro two phase ... analyzed in terms of single- and two- phase flow in the thermosyphon loop with conventional tubes and minichannels In order to analyse the numerical results of simulation for the two- phase flow and ... Fig Mass flow rate for laminar flow at the steady state versus modified Rayleigh number at different G/H ratios (HHVCHV) 372 Two Phase Flow, Phase Change and Numerical Modeling MASS FLOW RATE...

Ngày tải lên: 19/06/2014, 12:20

... adiabatic region (Zhang & Webb, 2001), the Tran correlation (Eq 23) for the friction pressure drop of two- phase flow in 384 Two Phase Flow, Phase Change and Numerical Modeling diabatic region (Tran et ... single- and two phase flows The obtained results show that the one-dimensional two- phase separate flow model can be used to describe heat transfer and fluid flow in the thermosyphon loop for minichannels ... 2000) for the friction pressure drop of two- phase flow in diabatic region and the Mikielewicz correlation (Mikielewicz et al., 2007) for the heat transfer coefficient in evaporator and condenser Two...

Ngày tải lên: 19/06/2014, 12:20

... flowing through a cylindrical minichannel Effects of Reynolds number and concentration of nanoparticles on the heat transfer performance are also reported and discussed 422 Two Phase Flow, Phase ... disadvantage with regard to the friction forces that dissipate more energy within the liquid thereby increasing its temperature 414 26 Two Phase Flow, Phase Change and Numerical Modeling Will-be-set-by-IN-TECH ... 1/3 D   for  Re Pr i  ≥ 33.3 x   (9) This correlation is popular and commonly used for thermal entrance region For steady and incompressible flow of nanofluids in a tube of uniform cross-sectional...

Ngày tải lên: 19/06/2014, 12:20

... conductivity (35) 460 Two Phase Flow, Phase Change and Numerical Modeling Let us apply the previous formalism for the heat transfer in nanofluids, assuming the following: (i) there are two different ...   m0 ΩD  (79) 468 Two Phase Flow, Phase Change and Numerical Modeling occurring for the phase Θ = π Figure shows these spikes at intervals proportional to the thermal source “frequency” and ... design of new nanofluids, it also can be used as guidance for improving the performance of existing nanoparticle 446 Two Phase Flow, Phase Change and Numerical Modeling suspensions While the...

Ngày tải lên: 19/06/2014, 12:20

... Heat exchangers, blower, the radiators and their efficiency, • Two- phase and multiphase flows • Free surface flows with complex surface shapes 489 Heat Transfer in Micro Direct Methanol Fuel ... bubbles, so our actual flow will be two- phase According to the process for production parts the surface quality of spark is not perfectly polished level The pump flow is completely uniform because not ... Micro Direct Methanol Fuel Cell Fig Flow contour in cross strip Fig Flow of parallel in inlet 491 492 Two Phase Flow, Phase Change and Numerical Modeling Fig Flow of cross strip in outlet 7.3 Assumptions...

Ngày tải lên: 19/06/2014, 12:20

... and the solid phases, but the key to understanding the free surface motion and the deformation of the melting surface is the surface tension force as well as the tracking free surface In such ... 1992), it is represented as a continuum surface force (CSF), and is specified as a volumetric source term in the momentum equation as 528 Two Phase Flow, Phase Change and Numerical Modeling FST ... p is pressure, g is  gravity, FST is surface tension force, S is the momentum source term, T is temperature, k is conductivity and h is enthalpy Surface tension is modeled as a smooth variation...

Ngày tải lên: 19/06/2014, 12:20