... Steady-State, Two- Phase- Flow Pressure Drop Transient Two- Phase- Flow Pressure Drop 21 Critical Flowand Unsteady Flow 21 3.6.1 Critical Flow in Long Pipes 220 3.6.2 Critical Flow in Short Pipes, Nozzles, and ... TRANSFER AND TWO- PHASEFLOW described in terms of two- phase boundary-layer flow The macroscopic effect of a two- phaseflow on the frictional pressure drop still relies on empirical correlations FLOW ... Simulation, Optimal Design and Control FORTHCOMING TITLES Tong and Tang, Boiling Heat Transfer and Two- Phase Flow, Second Edition BOILING HEAT TRANSFER AND TWO- PHASEFLOW Second Edition L S Tong,...
... heat transfer and analysis on laser beam, evaporator coils, shell -and- tube condenser, twophase flow, nanofluids, and on phase change are significant issues in a design of wide range of industrial ... electromagnetic radiation and convection The TwoPhase Flow, Phase Change and Numerical Modeling proposed method solves simultaneously the heat equation for the three phases (solid, liquid and vapor), computing ... 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: TwoPhase Flow, Phase Change and Numerical Modeling r A ⋅...
... junction between two tubes; the coordinates I and K indicate the direction of flow: incoming and destination, respectively The values of J(I,K) are: 38 TwoPhase Flow, Phase Change and Numerical ... Anlytical and Explicit and Implicit Methods of Solving One- 26 TwoPhase Flow, Phase Change and Numerical Modeling Dimensional Transient Heat Conduction Problems WSEAS Transactions on Heat and Mass ... infiltration of outside air and moisture Fig Flow chart of the computing procedure for FMT 40 TwoPhase Flow, Phase Change and Numerical Modeling Means of adjusting air temperature and humidity conditions...
... water flow rate, while the shell-side heat transfer coefficient is 76 TwoPhase Flow, Phase Change and Numerical Modeling influenced by the flow characteristic of refrigerant and tube arrangement ... conditions on the water 62 TwoPhase Flow, Phase Change and Numerical Modeling and refrigerant sides, in order to effectively shorten or reduce the time and cost in the development and design of this ... [W/m2K], di and are, respectively, the inside and outside diameters of tubes 68 TwoPhase Flow, Phase Change and Numerical Modeling [m], km is the thermal conductivity [W/mK], Rfi and Rfo are...
... of flow patterns, as Couette-Taylor flow or single and double vortex flow, can be created in a wide 92 TwoPhase Flow, Phase Change and Numerical Modeling range of speed of rotation of inner and ... outlet temperature, and (c) heat transfer rate 81 82 TwoPhase Flow, Phase Change and Numerical Modeling References Allen, B., & Gosselin, L (2008) Optimal geometry andflow arrangement for minimizing ... weaker vortex flow Figure 11 shows density when VΘ = 1000 m/s is constant and VΘ is 200, 500 and 1000 m/s According to this figure, if the velocity of 90 TwoPhase Flow, Phase Change and Numerical...
... in order to understand the internal stress distribution in the solidifying steel strand below the mold The need for data with respect to the 122 TwoPhase Flow, Phase Change and Numerical Modeling ... 134 TwoPhase Flow, Phase Change and Numerical Modeling Fig presents the temperature distribution till solidus temperature inside a slab at two different positions in the caster; parts (a) and ... casts slab sizes of 130x390 and 130x360 (mm x mm) two chemical analyses for steel were examined depending on the selected carbon 136 TwoPhase Flow, Phase Change and Numerical Modeling concentrations,...
... 140 TwoPhase Flow, Phase Change and Numerical Modeling Fig 13 presents the temperature distribution till solidus temperature inside a slab at two different positions in the caster; parts (a) and ... Ironmaking and Steelmaking Vol 13, No 3, pp 138-153 148 TwoPhase Flow, Phase Change and Numerical Modeling Won, Y-M, Kim, K-H, Yeo, T-J, & Oh, K (1998) Effect of Cooling Rate on ZST, LIT and ZDT ... rad (26) 162 TwoPhase Flow, Phase Change and Numerical Modeling where the dimensionless co-ordinate ≤ χ ≡ x/xrad ≤ and radiation level γrad ≡ R0xrad /qheat are introduced For δ/xrad and γrad large...
... Nematollahi and Nazifi, 2007; Rodriguez and El-Genk, 2008a, b, c, and d; Rodriguez, Domino, and El-Genk, 2010; Rodriguez and El-Genk, 2010a and b; Rodriguez and El-Genk, 2011) There are many devices and ... azimuthal, (a) and (b), and axial, (c) and (d), velocity profiles for S2 configuration Q ≈ 100 l/h for (a) and (c); and Q ≈ 270 l/h for (b) and (d) The circles indicate mean velocity values and the error ... and Γ ω are the effective diffusivity of k and ω, respectively; Gk and Gω are the generation of k and ω, respectively, due to mean velocity gradients; and Yk and Yω are the dissipation of k and...
... and Applications for Enhanced Heat Transfer andFlow Mixing Fig 12 Impact of Re and θ on Azimuthal Velocity Field 203 204 TwoPhase Flow, Phase Change and Numerical Modeling The single-jet computation ... 9th Ed., C Griffin and Co., London, UK 216 TwoPhase Flow, Phase Change and Numerical Modeling Rivero, A., Ferre, J A., and Giralt, F (2001) Organized Motions in a Jet in Crossflow, J Fluid Mech., ... 214 TwoPhase Flow, Phase Change and Numerical Modeling References Aboelkassem, Y., Vatistas, G H., and Esmail, N (2005) Viscous Dissipation of Rankine Vortex Profile in Zero Meridional Flow, ...
... fluence 232 16 TwoPhase Flow, Phase Change and Numerical Modeling Will-be-set-by-IN-TECH On Fig 5, green and orange dash lines respectively correspond to fluence F1ω = 19 J/cm2 and fluence F1ω ... pattern nearly 236 20 TwoPhase Flow, Phase Change and Numerical Modeling Will-be-set-by-IN-TECH remains unchanged and the slopes s as well Also these observations not dismiss that two populations ... during the picosecond time period 246 TwoPhase Flow, Phase Change and Numerical Modeling Fig The temporal evolution of electron and phonon temperature fields in two layer Au/Ag film assembly (A)...
... labs) 272 TwoPhase 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 ... continuity 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 ... 1200 (Pais et al., 1992) TwoPhase Jet Impingement 28 1820 (Overholt et al., 2005) TwophaseTwoPhaseTwoPhase Table Cooling Techniques and Respective Heat Fluxes and Heat Transfer Coefficients...
... (FC-72, and FC-87) The volumetric flow rate was regulated inside the range of 16.6 – 216 m3.s-1.m-2 The Sauter Mean Diameter of droplets was inside the range of 110 – 195 296 TwoPhase Flow, Phase ... with higher mass flow rate and nozzle inlet pressure; however it is not affected by varying chamber pressure as seen in Figures 14b, 15b and 16b 300 TwoPhase Flow, Phase Change and Numerical Modeling ... AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, pp 10838–10843 (2004) 308 TwoPhase Flow, Phase Change and Numerical Modeling Lin, L., Ponnappan, R., Two- phase high capacity spray cooling...
... 320 TwoPhase 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 ... (4) (5) (6) (7) 346 TwoPhase Flow, Phase Change and Numerical Modeling ′ sin θ w nf = , sin θ f′ nw (8) where θ’w and θ’f are the angles of incidence and refraction, and x0 and y0 are the intersection ... We categorized a single phaseand two- phase heat transfers Moreover, evaporation, condensation, pool boiling, andflow boiling are specifically discussed for the two- phase heat transfer From...
... void fraction and the local two- phase friction coefficient in both two- phase regions: adiabatic and diabatic, and the local heat transfer coefficient in flow boiling and condensation Some other ... Fig Mass flow rate for laminar flow at the steady state versus modified Rayleigh number at different G/H ratios (HHVCHV) 372 TwoPhase Flow, Phase Change and Numerical Modeling MASS FLOW RATE ... restraint, the relation of Dh and δ0_corner is expressed as follows: 356 TwoPhase Flow, Phase Change and Numerical Modeling 2 −1 ≥ Dh δ _ corner (27) From Eqs (23) and (27), the maximum value...
... pressure drop of two- phaseflow in adiabatic region (Zhang & Webb, 2001), the Tran correlation (Eq 23) for the friction pressure drop of two- phaseflow in 384 TwoPhase Flow, Phase Change and Numerical ... condition of single- andtwophase 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 ... friction pressure drop of two- phaseflow in adiabatic region, the Tran correlation (Tran et al., 2000) for the friction pressure drop of two- phaseflow in diabatic region and the Mikielewicz correlation...
... introduced by Maxwell [1] and further developed for non-spherical particle shapes by Hamilton and Crosser [2] predicts that thermal conductivity of two 436 TwoPhase Flow, Phase Change and Numerical Modeling ... these correlations were validated with wide range 424 TwoPhase Flow, Phase Change and Numerical Modeling of experimental data under various conditions and thus are not widely accepted In an attempt ... investigation of turbulent convective heat transfer and pressure loss of alumina/water and zirconia/water 434 TwoPhase Flow, Phase Change and Numerical Modeling nanoparticle colloids (nanofluids)...
... Cheng, L.X., E.P Bandarra, and J.R Thome, Nanofluid Two- PhaseFlowand Thermal Physics: A New Research Frontier of Nanotechnology and Its Challenges Journal of Nanoscience and Nanotechnology, ... Microfluidics and Nanofluidics, 2010 8(2): p 145-170 448 TwoPhase Flow, Phase Change and Numerical Modeling [28] Li, Y.J., et al., A review on development of nanofluid preparation and characterization ... enhancements predicted by the Hamilton-Crosser equation [2, 70] (randomly arranged elongated particles 442 TwoPhase Flow, Phase Change and Numerical Modeling provide higher thermal conductivities...
... turbulence and chemical composition, • Flow in porous media, • Heat exchangers, blower, the radiators and their efficiency, • Two- phaseand multiphase flows • Free surface flows with complex surface shapes ... Heat and Fluid Flow, Vol 16, No 3, pp 275 - 292 Nottale L (1992), Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity, Word Scientific, Singapore 484 TwoPhase Flow, Phase ... 488 TwoPhase Flow, Phase Change and Numerical Modeling • Computational Fluid Dynamics Computational fluid dynamics or CFD analysis of expression systems include fluid flow, heat transfer and...
... is constant, and denotes the trace-norm Clearly K can also depend on the concentration and temperature as well as other constitutive variables 502 TwoPhase Flow, Phase Change and Numerical ... = 30o, m = 0.5, and θ∞ = 0.5 ) 514 TwoPhase Flow, Phase Change and Numerical Modeling The effects of the reaction order m on the distribution of the dimensionless temperature and the heat transfer ... materials: Considering dilatancy, and the Mohr-Coulomb criterion Acta Mech., Vol 152, pp 121-138 518 TwoPhase Flow, Phase Change and Numerical Modeling Massoudi, M & N K Anand (2004) A theoretical study...
... Archimedes number and inlet enthalpy flow rate 550 TwoPhase Flow, Phase Change and Numerical Modeling Fig Melting process for large Archimedes number and moderate inlet enthalpy flow rate Fig 10 ... 3664-3673 540 TwoPhase Flow, Phase Change and Numerical Modeling Lamberg, P.; Lehtiniemi, R & Henell, A (2004) Numerical and Experimental Investigation of Melting and Freezing Processes in Phase Change ... into the tank and collided with a plate at which the sub-cooled state was released 552 TwoPhase Flow, Phase Change and Numerical Modeling The flow rates of the glycol solution and the input...