By Dimitri Gidaspow
Important as a reference for engineers in and as a complicated point textual content for graduate engineering scholars, Multiphase movement and Fluidization takes the reader past the theoretical to illustrate how multiphase stream equations can be utilized to supply utilized, useful, predictive options to business fluidization difficulties. Written to aid develop development within the rising technology of multiphase move, this book starts off with the improvement of the conservation legislation and strikes on via kinetic conception, clarifying many actual strategies (such as particulate viscosity and solids strain) and introducing the recent based variable--the quantity fraction of the dispersed section. routines on the finish of every chapterare supplied for extra learn and lead into purposes no longer lined within the textual content itself. Key positive factors * Treats fluidization as a department of delivery phenomena * Demonstrates how you can do temporary, multidimensional simulation of multiphase procedures * the 1st e-book to use kinetic idea to stream of particulates * Is the one ebook to debate numerical balance of multiphase equations and even if such equations are well-posed * Explains the starting place of bubbles and the concept that of severe granular circulation * provides sincerely written routines on the finish of every bankruptcy to facilitate figuring out and extra study. Read more...
summary: important as a reference for engineers in and as a complicated point textual content for graduate engineering scholars, Multiphase move and Fluidization takes the reader past the theoretical to illustrate how multiphase stream equations can be utilized to supply utilized, functional, predictive suggestions to commercial fluidization difficulties. Written to aid improve growth within the rising technology of multiphase stream, this booklet starts with the advance of the conservation legislation and strikes on via kinetic concept, clarifying many actual ideas (such as particulate viscosity and solids strain) and introducing the recent based variable--the quantity fraction of the dispersed section. workouts on the finish of every chapterare supplied for additional research and lead into purposes no longer lined within the textual content itself. Key positive aspects * Treats fluidization as a department of delivery phenomena * Demonstrates tips on how to do brief, multidimensional simulation of multiphase procedures * the 1st ebook to use kinetic conception to move of particulates * Is the single booklet to debate numerical balance of multiphase equations and even if such equations are well-posed * Explains the beginning of bubbles and the idea that of serious granular movement * provides essentially written routines on the finish of every bankruptcy to facilitate figuring out and additional research
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Additional info for Multiphase Flow and Fluidization
I / dt i ) (Continuity Equation). Find the equation for as, I di' , (c) For inviscid fluids, T; =-1t;I. Find dSi / dt' . (d) Let T j = -1t j l - 'tj and find the entropy production (Woods, 1985). 4. Population Balance for a Fluidized Bea Consider a well-mixed fluidized bed reactor, such as shown in Fig. 3 from Levenspiel et al. (1969). In this figure, Fi are the mass flow rates (kg/s) and Pi are the size distributions (ern -1 ) of the streams. A population balance for the size distribution P can be written as d rR(t) .
77) gives the expression for the rate of change of entropy: as. -I dp. -'-. -' -P·"\l·E·Y·. 81 ) where all the terms on the right-hand side cancel. Thus, in the absence of heat transfer and energy dissipation, the entropy of the ith phase stays a constant along its own stream line. Now, suppose the work term p; raEi fat) was not present in the energy balance. Then the entropy balance for phase i, as seen from Eq. (1 ~81), would read as follows: as. -' , I , dt' ' (wrong form). 82) Then the entropy production a for two fluids for which E; + Ej = 1 is the sum of Eq.
66). It can also be expressed in terms of enthalpy and entropy. Since these operations are straightforward, only the restriction provided by the entropy inequality will be dealt with. 6) is first rewritten in a convenient form. Differentiation of the product in Eq. 6) and use of the definition of the motion along phase i, represented by d/dt', shows that aEj apj t7 ' + E·v. vp, = m. E·v. 75) can be written as aEj ' -1, Ei dpj mj _ do, mi -+v·EjVi=---i+--EiPi-,-· +-, at Pj dt Pi dt Pj t7 (l. 76) where the left-hand side of Eq.