partial differential equation in chemical engineering

... ZlokarnikScale-Up in ChemicalEngineeringScale-Up in Chemical Engineering 2 nd Edition M Zlokarnik Copyright
2006 WILEY-VCH Verlag GmbH & Co KGaA, Weinheim Trang 2North American Mixing ForumHandbook of Industrial ... and heat transfer is discussed in association withfilm drying In dealing with chemical process engineering, the conduction of chemical tions in a tubular reactor and in a packed bed reactor (solid-catalyzed ... mainScale-Up in Chemical Engineering 2 nd Edition M Zlokarnik Copyright
2006 WILEY-VCH Verlag GmbH & Co KGaA, Weinheim Trang 19emphasis of this book lies in the integral treatment of chemical

Ngày tải lên: 02/04/2014, 16:26

... the line markers so that they can be easily distinguished using a non-color printer. The appendix contains a list of available markers for plotting. MATLAB Applications in Chemical Engineering ... Square Diamond Downward pointing triangle Upward pointing triangle Right pointing triangle Left pointing triangle Five point star Six point star ... generally ode45 works as an initial try 6 plot (t, ... following code can be entered directly into the command window, or into an m-file: 1 Maple is a registered trademark of Waterloo Maple, Inc. MATLAB Applications in Chemical Engineering James

Ngày tải lên: 24/04/2014, 20:45

... Pressure drop estimation; 5 Internals design This chapter deals with column packing efficiency, considering the main studies including random and structured packing columns In packed columns, mass ... Raschig rings can be as efficient as Pall rings, depending on the upward velocity of the gas inside the column, for example These and other features involving the packing are extensively detailed in ... (1981) Fig 1 Random packing: (a) plastic pall rings (b) metal pall rings (Metal Hypac) (c) Raschig rings (d) Intalox saddles (e) Intalox saddles of plastic (f) Intalox saddles In literature, some

Ngày tải lên: 18/06/2014, 22:20

... be addressed The governing equations satisfying single phase flow will not be sufficient for flows where inter-particle interactions are present These interactions can be in the form of collision ... exist, the computational domain has to be discretized into cells or elements with nodal points marking the boundaries of each cell and combining the physical domain into one computational entity ... convective heat and mass transfer This initial stage of drying is known as the constant or unhindered drying period (CDP) As drying proceeds, internal moisture within the particle diffuses to the surface

Ngày tải lên: 19/06/2014, 08:20

...     Mass Transfer in Chemical Engineering Processes Amines: Monoethanolamine (MEA), Diethanolamine (DEA) and Methildiethanolamine (MDEA) are organic chemical compounds derived ... capsaicin Therefore, the optimum combined condition in methanol is confirmed to be at 57C for 2 56 min The instability of capsanthin at increased temperature is again confirmed by optimum combined ... Transfer in Chemical Engineering Processes Ying-Yue, W.; Chi-Tzong, H.; Wen-Ta, C & Jia-You, F (2001) In vitro and in vivo evaluations of topically applied capsaicin and nonivamide

Ngày tải lên: 19/06/2014, 08:20

... Transfer in Chemical Engineering Processes optimal value of the electric field intensity Eopt ≈ 400 V/cm, that results in maximal material disintegration at the minimal energy input, was ... permeabilization of plant tissue was obtained... in biotechnology and medicine to deliver drugs and genes into living cells 152 Mass Transfer in Chemical Engineering Processes (Neumann et al., ... 2 /kg amine) Ca (%v) DEA MEA Mass Transfer in Chemical Engineering Processes 142 Figure 2 also shows that absorbing efficiencies depend on the degree of saturation of the absorbing substance

Ngày tải lên: 19/06/2014, 08:20

... located in the skin, that are only partially extracted during traditional winemaking process, due to the resistances to mass transfer of cell walls and cytoplasmatic membranes In red wine, the main ... Food Engineering, 80, 639-644 Lebovka, N I., Shynkaryk, N V & Vorobiev, E (2007b) Pulsed electric field enhanced drying of potato tissue Journal of Food Engineering, 78, 606-613 Loginova, ... and increasing more steeply at increasing temperature (Ea ≈ 27 kJ/mol) (Lebovka et al., 2007b) Similarly, the application of PEF increased the effective water diffusivity during the drying of

Ngày tải lên: 19/06/2014, 08:20

... remained in trisodium phosphate and stripping solutions (mg/l) Remained in TSP Remained in stripping solution Fig. 15. Amount of uranium ions remained in trisodium phosphate and stripping ... concentrations of Aliquat 336, stripping solution [HNO 3 ] of 0.5 M, equal Q feed and Q stripping solution of 100 ml/min Mass Transfer in Chemical Engineering Processes 192 To enhance the ... copper ion transport in the hollow fiber is considered as shown in Fig. 18. Fig. 18. Transport of copper ions in the hollow fiber Mass Transfer in Chemical Engineering Processes 196

Ngày tải lên: 19/06/2014, 08:20

... membrane is defined by the both gas components With increasing of the frequency the relative amplitude passes through minimum This minimum on the curve Α ΑΒ (ω)/Α Α via ω is defined by fact that ... channel increases value of separation factor  (steady state value increases from 4 to 6) Transition rate constants have no influence on steady state separation factor value At initial time increasing ... mass transfer of reacting component is described by following differential equation system: s Trang 10where C1 and C2 – component concentration in membrane medium and chemically active centers,

Ngày tải lên: 19/06/2014, 08:20

... with increasing velocity gradient Note here that in obtaining data in Figs 3(a) to 3(c), attention has been paid to controlling the surface temperature not to exceed 20 K from a given value In ... be determined by substituting the values of I, obtained from Eq (75), into Eq (66) It may be informative to note that for some weakly-burning situations, in which O2 concentrations in the reaction ... the partial-burning behaviors is reported (Henriksen, 1989), instead of an abrupt, turning-point behavior, with increasing gas-phase Damköhler number However, this could be a highly-limiting

Ngày tải lên: 19/06/2014, 08:20

... rate first increases, then decreases abruptly, and again increases, with increasing Ts, as explained in the previous Section The ignition surface-temperature observed is about 1800 K, in accordance ... oxidizing species i (=O, P, A) are also defined in the same manner as those in Section 2 in Part 1 Although Y i,s must be determined through numerical calculations when the gas-phase kinetics ... is put on examinations for the promoting and suppressing effects that the temperature and water vapor in the airflow have From the practical point of view, the carbon combustion in airflow at

Ngày tải lên: 19/06/2014, 08:20

... APPLICATIONS IN CHEMICAL ENGINEERING MEKAPATI SRINIVAS NATIONAL UNIVERSITY OF SINGAPORE 2007 Trang 2STOCHASTIC GLOBAL OPTIMIZATION METHODS AND THEIR APPLICATIONS IN CHEMICAL ENGINEERING MEKAPATI SRINIVAS ... design of engineering systems, location and routing problems Interval Methods: Interval methods (Hansen, 1992) mainly deal with interval numbers, interval arithmetic and interval analysis instead ... corresponding to node ‘3’ is the best point obtained in Level 2 The branching is again repeated by selecting a node with the smallest upper bound in the current level (node ‘3’ in Level 2) thus resulting

Ngày tải lên: 13/09/2015, 21:39

... to partial differential equations, In Applied Mathe- matical Sciences, Volume 44, Springer-Verlag, New York, (1983) 24 Y Hino, S Murakami and T Naito, Functional differential equations with infinite ... [1-5] First-order abstract partial differential equations with impulses are treated in [6-9] The literature related to ordinary and partial functional differential equations with delay for which ... t i o n s to p r o b l e m s arising in mechanics, electrical engineering, medicine, biology, ecology, etc Relative to o r d i n a r y impulsive differential equations, *I wish to acknowledge

Ngày tải lên: 29/10/2015, 14:19

... in Mathematical Programming, Wiley, 1993 Williams,H.P., Model Building in Mathematical Programming, Wiley, 1993 Reklaitis,G.V., Ravindrau,A & Ragsdell,K., Engineering Optimization, Wiley, ... of Chemical Processes, Second Edition, McGraw-Hill, 2001 Edgar,T.F & Himmelblau,D.M., Optimization of Chemical Processes, Second Edition, McGraw-Hill, 2001 Williams,H.P., Model Building in ... & Ragsdell,K., Engineering Optimization, Wiley, 1983 Reklaitis,G.V., Ravindrau,A & Ragsdell,K., Engineering Optimization, Wiley, 1983 Trang 5NỘI DUNGChương 1: Giới thiệu Chương 2: Khái

Ngày tải lên: 15/09/2016, 20:21

... Poisson’s Equation on Unit Disk Using the Graphical User Interface Using Command-Line Functions A Scattering Problem Using the Graphical User Interface A Minimal Surface ... The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time The equations ... outward pointing normal on ∂Ω Note that the integrals of this formulation are well-defined even if uh and v are piecewise linear functions Boundary conditions are included in the following way...

Ngày tải lên: 26/01/2014, 02:20

... Stefan approach to mass transfer, Chemical Engineering Science, 52, (1997), 861 – 911 [5] Levenspiel, O., Modeling in chemical engineering, Chemical Engineering Science, 57, (2002), 4691 – 4696 ... transfer, since the amount of dye in the fiber is continuously increasing Following, Equation 8, was developed by Hill for describing the diffusion of dye molecules into an infinitely long cylinder ... Printed in Croatia A free online edition of this book is available at www.intechopen.com Additional hard copies can be obtained from orders@intechweb.org Mass Transfer in Chemical Engineering...

Ngày tải lên: 16/02/2014, 19:20

... Frontiers in Chemical Engineering: Research Needs and Opportunities http://www.nap.edu/catalog/1095.html WHAT IS CHEMICAL ENGINEERING Two What Is Chemical Engineering Chemical engineering has a ... modeling of fundamental biological interactions, investigating surface and interfacial phenomena important to engineering design in living systems, expanding the scope of process engineering into ... significant educational program in biochemical and biomedical engineering The hiring of faculty into chemical engineering departments whose training is initially in the medical and life sciences...

Ngày tải lên: 06/03/2014, 15:20

... 288 References 293 Partial Differential Equations in Semi-infinite Domains……………… 295 4.1 Partial Differential Equations (PDEs) in Semi-infinite Domains .295 4.2 Laplace Transform ... transfer for nonlinear elliptic partial differential equations In chapter seven, you find a discussion of partial differential equations in finite domains Some of the examples include separation ... partial differential equations in semi-infinite domains in semi-infinite domains, Laplace transform, similarity solution techniques for Parabolic and elliptical PDEs as well as nonlinear partial differential...

Ngày tải lên: 01/04/2014, 10:47

... (1971) for details 9 1.2 Chemical- reaction -engineering approach φτ whose inlet concentration is null, and whose chemical source term is Sτ = Owing to turbulent mixing in a chemical reactor, the ... tools routinely to solve day-today engineering problems However, as recently as the 1990s the gap between chemical reaction engineering and fluid mechanics was large, and only through a sustained effort ... the chemical- reaction -engineering (CRE) approach came from the application of chemical kinetics to the study of chemical reactor design In this approach, the details of the fluid flow are of interest...

Ngày tải lên: 01/04/2014, 10:48

... approximation: V dC ≈ Q in, sC in, s + C in, s (Q in – Q in, s) + Q in, s (C in – C in, s) dt – Q in, sC s + C s (Q in – Q in, s) + Q in, s (C – C s) and the steady state equation, without canceling the flow variable, ... C in, s Q' in + Q in, s C' in – C s Q' in + Q in, s C' dt and after moving the C' term to the LHS, - 29 V dC' + Q in, s C' = C in, s – C s Q' in + Q in, s C' in dt The final result can be interpreted ... learned in other engineering classes The so-called model equations are conservation equations in heat, mass, and momentum We need force balance in mechanical devices, and in electrical engineering, ...

Ngày tải lên: 01/04/2014, 10:57