Tutorial Modeling of monolith reactors

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1D SCM mass balances The solid phase mass balance is: 4 D 2 2 ( D − D ) WC ( ) A, − A, = η( − A ) k ρ w w R m f f S S Washcoat diffusion is included via the effectiveness factor. The rate here is evaluated at the surface temperature and concentration. The rate is expressed in terms <strong>of</strong> washcoat volume. 40
1D SCM energy balances The fluid phase energy balance is: d ⎛ dTf dTf 4 ⎜k ⎞ I ⎟ − vm ( ρ Cp ) + h f ( TS − Tf ) = dz⎝ dz ⎠ d z D 0 The fluid thermal conductivity is an effective value that accounts for laminar flow. The solid phase energy balance is: ∂ ⎛ ⎛ ⎞ ⎜k ⎟ h T T H R C ∂z⎝ ∂z ⎠ ⎜ ⎟ ⎝ ⎠ ∂t 2 2 ∂TS ⎞ 4 D DWC − D ∂TS S − ( ) ( ) ( A ) ( ) 2 2 S − f − η Δ R ⎜ 2 2 ⎟ − = ρ S P S ( DS − D ) DS − D The solid thermal conductivity is an average value for washcoat and substrate. 41
Page 1 and 2: Introduction to Monolith Reactor Mo
Page 3 and 4: Why use computer modelling? • Exp
Page 5 and 6: Observations • The problem involv
Page 7 and 8: Model Scales Micro scale: At the at
Page 9 and 10: Mathematical formulation • The fu
Page 11 and 12: Basic models in common use • Sing
Page 13 and 14: The 3D SCM • The real monolith do
Page 15 and 16: The 2D approximate SCM • The 2D m
Page 17 and 18: The 2D SCM • All of the physical/
Page 19 and 20: Modelling the fluid domain Velocity
Page 21 and 22: Modelling the washcoat domain • T
Page 23 and 24: Diffusion in the washcoat • Diffu
Page 25 and 26: Modelling the substrate domain The
Page 27 and 28: Comparing 2D and 3D models • The
Page 29 and 30: Comparing 2D and 3D models • The
Page 31 and 32: Comparing 2D and 3D models Percenta
Page 33 and 34: Review of boundary layer flow Flow
Page 35 and 36: Boundary layers in a tube • At th
Page 37 and 38: Heat and mass transfer • Heat and
Page 39: 1D SCM mass balances The fluid phas
Page 43 and 44: Nusselt and Sherwood numbers • Fo
Page 45 and 46: Nusselt and Sherwood numbers • Ho
Page 47 and 48: Nusselt and Sherwood numbers • Ho
Page 49 and 50: Simplified 1D models • Dispersion
Page 51 and 52: Models for the converter • In rea
Page 53 and 54: Discrete converter models • A pas
Page 55 and 56: Momentum balance equation Velocity
Page 57 and 58: Energy balances The fluid phase ene
Page 59 and 60: Continuum model • In effect, the
Page 61 and 62: Model validation • All models mus
Page 63 and 64: Model validation - Example Heating
Page 65: Advertising supplement R.E. Hayes a

Tutorial Modeling of monolith reactors

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