By Efstathios E. Michaelides (auth.), S. Kakaç, M. Ishii (eds.)
Over the prior 20 years, two-phase stream and warmth move difficulties linked to two-phase phenomena were a problem to many investigators. Two-phase stream functions are present in a variety of engineering platforms, similar to nuclear and traditional energy crops, evaporators of refrigeration platforms and a large vari ety of evaporative and condensive warmth exchangers within the chemical undefined. This booklet is predicated at the invited lectures provided on the NATO complex study Workshop at the Advances in Two-Phase circulate and warmth move. The Horkshop used to be attended by way of greater than 50 best scientists and working towards engineers who paintings actively on two-phase circulation and warmth move examine and purposes in dif ferent sectors (academia, govt, undefined) of member international locations of NATO. a few clinical leaders and specialists at the subject material from the non-NATO nations have been additionally invited. They convened to debate the state of the art in two-phase movement and warmth move and formulated thoughts for destiny examine instructions. to accomplish those pursuits, invited key papers and a restricted variety of contributions have been provided and mentioned. the categorical features of the topic have been handled intensive within the panel classes, and the unresolved difficulties pointed out. appropriate as a realistic reference, those volumes include a scientific method of two-phase stream analysis.
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Additional info for Advances in Two-Phase Flow and Heat Transfer: Fundamentals and Applications Volume II
The most common geometry studied is that of the tube of circular cross section. Other geometries include rectangular channels, annulii, and multiple channels such as those formed by the fuel pins in in a nuclear reactor. The most common fluid pair is air and water with steam and water second. -octyl alcohol, silicon oil, and water with various surfactant agents. Nitrogen has been also used as the gas phase. The data collected has included: liquid holdup; pressure drop; average liquid film thickness; liquid surface charcteristics such as disturbance wave and ripple height, velocity, and speed; and the flow rate of both liquid and gas at the flooding point and entrainment.
4) vA2 PA - + - + 2A 2g Y Fig. 4. A plug of length L in the riser. 1) We shall have a difference in velocity at A and B due to the fact that the amount of mass "absorbed" by the plug at B is different from the amount "discharged" at A. This further implies that the length of the plug L is not a constant (Fig. 4). In order to make all mathematical expressions "correct" it is now necessary to operate with separate velocities at A and B, and consequently an axial velocity distribution in the plug must be assumed.
A numerical Runge-Kutta method is introduced. 11) then becomes: which can be written: Finally: d~ ds _ 2~ + 1.. 14) In this form the equation is well suited for a Runge-Kutta procedure. 13) then leaves: F(O,O) ::: 1 + (l-a) ::: (2-a) This indicates that d~/dsl~:::o must be infinite s:::O The solution to the problem for a certain combination of the parameters is exhibited in Fig. 11. It is observed that these curves resemble to some extent both those for the plug of constant length in Fig. 6 and those in Fig.
Advances in Two-Phase Flow and Heat Transfer: Fundamentals and Applications Volume II by Efstathios E. Michaelides (auth.), S. Kakaç, M. Ishii (eds.)