Chemical Reactor Modeling: Multiphase Reactive Flows by Hugo A. Jakobsen

By Hugo A. Jakobsen

Chemical Reactor Modeling closes the space among Chemical response Engineering and Fluid Mechanics. the second one version comprises volumes:
Volume 1: Fundamentals.
Volume 2: Chemical Engineering Applications
In quantity 1 lots of the basic concept is gifted. a number of numerical version simulation software examples are given to clarify the hyperlink among idea and functions. In quantity 2 the chemical reactor gear to be modeled are defined. numerous engineering types are brought and discussed.

A survey of the often used numerical tools, algorithms and schemes is equipped. a couple of useful engineering purposes of the modeling instruments are offered and mentioned. The operating rules of a number of experimental suggestions hired for you to get info for version validation are outlined.

The monograph is predicated on lectures frequently taught within the fourth and 5th years graduate classes in shipping phenomena and chemical reactor modeling and in a publish graduate direction in sleek reactor modeling on the Norwegian collage of technology and know-how, division of Chemical Engineering, Trondheim, Norway. the target of the publication is to give the basics of the single-fluid and multi-fluid types for the research of unmarried and multiphase reactive flows in chemical reactors with a chemical reactor engineering instead of mathematical bias. equipped into thirteen chapters, it combines theoretical facets and functional purposes and covers the various fresh study in numerous parts of chemical reactor engineering. This e-book features a survey of the trendy literature within the box of chemical reactor modeling.

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The – symbol is used to indicate that the integration of –Q which is not a state function is dependent on the path Time difference between Doppler bursts in PDA (s) Time increment (s) Nomenclature ¢tcoal ¢tcol –v –W ¢z ¢ – – –c –I ðr À r0 Þ –v –ij –T ðTÞ       ¾I ‚;h ð‚; h; /; TÞ ‚ ð‚; TÞ h ðh; /; TÞ g g g gj C C C C ° ° ° liii Coalescence time interval (s) Collision time interval (s) Turbulence velocity scale (m/s) Differential work done on the thermodynamic system (kJ). The – symbol is used to indicate that the integration of –W which is not a state function is dependent on the path The distance separating the upper and lower probes in F-OPT (m) Filter width in LES (m) Boundary layer thickness (m) Redundancy correction prefactor in population balance Concentration boundary layer thickness (m) Dirac delta function which is zero everywhere except when ðr ¼ r0 Þ, infinite on interface, and integral unity Length scale characterizing the inner layer in turbulent boundary layers (m) Kronecker delta Thermal boundary layer thickness (m) Hemispherical, total emissivity of a surface ðÀÞ Amplitude variable in variational analysis Parameter in least squares method minimization statement Ratio of eddy size to the bubble size,  ¼ ‚=di ðÀÞ Represent small threshold value in convergence criterion Surface roughness of pipe (m) The electric permeability given in Farads per metre (F/m) Net surface energy associated with surface tension (J/m2 s) Spectral, directional emissivity of a surface ðÀÞ Hemispherical, spectral emissivity of a surface ðÀÞ Total, directional emissivity of a surface ðÀÞ Kolmogorov micro length scale (m) Parameter called a surface coordinate or curvilinear coordinate of a point on a surface Variable in solution procedure in SQMOM Parameter in Golub–Welsch algorithm Boundary of the calculation domain › Boundary Mean flux of molecules in elementary kinetic theory (number/m2 s) Phase space symbol in classical mechanics Energy dissipation rate term in the granular temperature equation (kg/m s3) Particle volume fraction ðÀÞ The electrical admittivity given in siemens per metre (S/m) liv CðzÞ °b °c °c °e Ci °i °i Ck °k CL Cˆ • • • • • •C ðÞ •d •coll d •kin d K K K K ‚ ‚ ‚ ‚ ‚ ‚ ‚ Nomenclature Gamma function, a special function in advanced mathematics defined by means of an improper integral Volume fraction of solids in bubble zone with respect to the bubble volume ðÀÞ Composition expansion coefficient associated with species c ðÀÞ Volume fraction of solids in cloud zone with respect to the bubble volume ðÀÞ Volume fraction of solids in emulsion zone with respect to the bubble volume ðÀÞ The electrode i surface (m2) Activity coefficient for species i Element values of symmetric tridiagonal matrix J in Golub– Welsch algorithm Average interface mass transfer rate from phase k due to phase change (kg/m3 s) Average occurrence of phase k ðÀÞ Lagrangian integral time scale (s) General diffusion coefficient in FVM discretization Curvature (m-1) Magnitude of fluid shear (1/s) The extinction coefficient in F-OPT ðÀÞ von Kàrmàn constant ðÀÞ Wavenumber associated with Taylor hypothesis (radians/m) Effective coalescence swept volume (m3/s) Total dispersed phase heat conductivity (kW/m K) Collisional granular heat fluid conductivity (kW/m K) Kinetic granular heat fluid conductivity (kW/m K) Quadrature weight matrix Coefficient in the Zehner and Schlünder model for the convective heat transfer ðÀÞ Model parameter ðÀÞ Particle size ratio in bubble breakage kernel closure, K ¼ dc =d ðÀÞ Dimensionless constant in bubble size model ðÀÞ Distance between two points in the flow where the second order velocity structure function is depends on ‚ and " only (m) Eddy size ([m]) Laser light wavelength for LDA (nm) Length of electromagnetic radiation wave in a medium (m) The wavelength (m) Wavelength associated with Taylor hypothesis (m) Nomenclature ‚d ‚f ðtÞ Kg ðtÞ ‚g ðtÞ Ki Ki ‚j h"G iglobal „ „ „ „ „ „ „crit p „fric p „dilute „B „c „j „j „j „j ðr; tÞ „n „s „t „B;d ” ” ”ð.

ICAI h. iXk qk h. iA h. ie h. iM h. iV h. iAI hˆk iXT k hˆk iXVk hˆk iTk hˆk iVk B L j. j rÁ r rI rc ðÞ rr ðÞ f h.

2002) (m2/s) System matrix xliv D J ðˆðcÞÞ P A A B C D Dsr Dsr F F I J ðf ; gÞ L Lj M P R Sð$; zÞ U e J P P$ Pz Yð›Þ N np Nu "s G Nomenclature Diagonal matrix containing interfacial coupling terms Collision term in the Boltzmann equation Polynomial order Chemical reaction formula matrix ðÀÞ Model parameter ðÀÞ Model parameter ðÀÞ Model parameter ðÀÞ Model parameter ðÀÞ Generalized non-symmetric Fickian multicomponent diffusivity for the s and r pair of gases [25]: Chap. 2, Curtiss and Hirschfelder (1949), [56]: Chap.

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