By Nikolay I. Kolev
ISBN-10: 3540221077
ISBN-13: 9783540221074
Multi-phase flows are a part of our normal surroundings, together with tornadoes, typhoons, air and water toxins and volcanic task in addition to of business expertise comparable to strength crops, combustion engines, propulsion structures, or chemical and organic undefined. the economic use of multi-phase structures calls for analytical and numerical thoughts for predicting their habit. This booklet includes concept, tools and sensible event for describing advanced temporary multi-phase methods in arbitrary geometrical configurations. This ebook offers a scientific presentation of the idea and perform of numerical multi-phase fluid dynamics. within the current moment quantity the mechanical and thermal interactions in multiphase dynamics are supplied.
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Extra resources for Multiphase Flow Dynamics 2: Thermal and Mechanical Interactions (v. 2)
Sample text
To determine the relative significance of λ droplet ξ Vapor flow O Solid surface FIG. 9. Coordinates for the vapor-layer model. 32 YANG GE AND LIANG-SHIH FAN each term in these motion equations, an order of magnitude analysis is made by considering the following dimensionless groups: x x¯ ¼ ; R l Z¼ ; d u¯ x ¼ ux ; Ux u¯ l ¼ ul ; Ul p¯ ¼ p ; rU 2x ¯t ¼ tU x ; R Red ¼ dðxÞuld n (46) where R is the droplet radius; d the vapor-layer thickness; Red the local evaporation Reynolds number; uld(x) the local vapor velocity; and Ux, Ul the velocity scalars in x, l directions, respectively.
16 is conducted under perfectly symmetrical conditions, which is not easy to achieve in the experiments. 48 YANG GE AND LIANG-SHIH FAN FIG. 17. Droplet impacts on the flat surface with a small tangential velocity. Other conditions are the same as those in Fig. 16. As the droplet is released from the nozzle and moves toward the superheated surface, some uncontrollable factors such as the angle of dropping, obliquity of the surface, and perturbation in the ambient conditions render it difficult to maintain a perfectly normal collision between the droplet and solid surface.
50) can be obtained in power series form. Under the condition that Red Oð1Þ, F(Z) can be approximated by only including the first three terms in the power series with good accuracy: FðZÞ ¼ Fd Z À jðxÞZ 1 Red À 2 24 2 Z Red 4 À Z þ jðxÞ 2 24 (52) The averaged vapor-flow velocity is given by Z 1 u¯ x ðxÞ ¼ O 0 1 d2 3 @ p 1 À Red Fd dZ ¼ uld ðxÞ À 2 20 @x r 12g (53) The vapor-continuity equation can be expressed by u¯ x ðxÞ ¼ 1 xdðxÞ Z x x0 uld ðx0 Þdx0 (54) 0 The pressure distribution in the vapor layer can be obtained by solving Eqs.
Multiphase Flow Dynamics 2: Thermal and Mechanical Interactions (v. 2) by Nikolay I. Kolev
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