By Mamrou Ishii
ISBN-10: 3540332839
ISBN-13: 9783540332831
Thermo-fluid dynamics of two-phase move is a crucial topic for varied clinical and engineering fields. It performs a very major function in thermal-hydraulic research of nuclear reactor transients and injuries. the themes of multiphase circulation also are crucial for varied engineering platforms concerning power, chemical engineering strategies and warmth transfer.
Thermo-fluid Dynamics of Two-phase circulate is written for graduate scholars, scientists and engineers who want intensive theoretical foundations to resolve two-phase difficulties in quite a few technological systems.
Based at the vast examine reports eager about the elemental physics of two-phase circulate, the authors current the certain theoretical origin of multi-phase stream thermo-fluid dynamics as they practice to: Nuclear reactor brief and twist of fate research; strength structures; energy new release structures; Chemical reactors and procedure structures; area propulsion; shipping processes.
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Extra info for Thermo-fluid Dynamics of Two-Phase Flow
Sample text
46 Chapter 2 EXTERNAL BOUNDARY CONDITIONS Position of the Wall Constraints 7 PHASE 1 Field Equations Continuity Eq. Momentum Eq. Energy Eq. Constitutive Equations Equation of State Mechanical C. E. Energetic C. E. Jump Conditions Interfacial B. C. Contact Angle 1 INTERFACE Jump Conditions Mass J. C. Momentum J. C. Energy! C. Interfacial B. C. Thermal B. C. (No-slip B. ) (Chemical B. E. E. E. Constitutive Equations E. S. M. C. E. E. C. E. 1 Drag force acting on a spherical particle in a very slow stream As an example of applying local instant formulation to two-phase flow problems, let us study the drag constitutive equation of a solid sphere of radius r^ in a very slow stream of speed U^ (creeping flow) (Stokes, 1851; Schlichting, 1979).
Furthermore, the heat flows only in the direction of higher to lower temperatures. 1 Interfacial balance (Jump condition) The standard differential balance equations derived in the previous sections can be applied to each phase up to an interface, but not across it. A particular form of the balance equation should be used at an interface in order to take into account the singular characteristics, namely, the sharp changes (or discontinuities) in various variables. By considering the interface as a singular surface across which the fluid density, energy and velocity suffer jump discontinuities, the so-called jump conditions have been developed.
0^ = -v,x + 77o [v, - C) > A , , . o K - ^ ) ^ ^ ^ ^ i ^ ^ (2-136) - ^*)} (2-137) 50 Chapter 2 where } \ and /^j are the average thickness of the upper and lower fluid layers, respectively. (2-134) and assuming v^^ « v ^ yield the pressure of each phase at the interface as (2-138) Pi2 — Pi 1(^2 ~ ^ ) feoth[kh^) - g\ 77oSin\k{x - Ct)\ (2-139) +Pi where p^ is the pressure at a smooth interface. (^k\) . 25, pi can be approximated to be p^.
Thermo-fluid Dynamics of Two-Phase Flow by Mamrou Ishii
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