Two-dimensional heterogeneous

Dynamic Model A two-dimensional heterogeneous dynamic model was developed, which describes the mass and energy balances in both phases. In dimensionless form, for the nfc component and the temperature in the gas phase,... 

The reformer tube operation was simulated on the basis of a set of continuity-, energy- and momentum equations using one and two dimensional heterogeneous models. Intraparticle gradients in the rings were accounted for by the use of the generalized modulus concept. 

Liu J, Wilson JL (1995) Modeling travel time and source location probabilities in two-dimensional heterogeneous aquifer. Proc 5th WERC Technology Development Conference, Las Cruces, New Mexico, pp 59-76... 

The transport of a sorbing contaminant in two-dimensional, heterogeneous, saturated porous media, resulting from the dissolution of a single component NAPL pool, as illustrated in Fig. 5, is described by the following partial differential equation [44] ... 

A two-dimensional heterogeneous model is developed for the catalyst tubes, without catalyst deactivation, taking into consideration the steam reforming... 

Ri, Rj, R3 are ratesof reaction for reactions(1), (2), (3) respectively. The two-dimensional heterogeneous model equations takes the form,... 

Attempts have been made to develop two-dimensional heterogeneous models (McGreavy and Cresswell, 1968, 1969, Deasch and Froment, 1971). McGreavy and Cresswell proceded by adding to the one-dimensional heterogeneous model the terms accounting for radial heat and mass transfer in the bed. 

De Wasch AP, Froment GF (1971) A two dimensional heterogeneous model for fixed bed catalytic reactors. Chem Eng Sci 26 629-634... 

Adams II, Thomas A. and Barton, Paul I. (2009). A dynamic two-dimensional heterogeneous model for water gas shift reactors. International Journal of Hydrogen Energy 34, 8877-8891. 

Other applications of convective reforming are associated with recovery of the process gas heat in ammonia and methanol plants [395] [479] and lately also in ATR-based syngas units for GTL plants as discussed in Chapter 2. Design and simulation of such a reformer is shown in [519], where the two-dimensional heterogeneous model has been applied using the kinetics in [525]. A homogeneous model has also been used, and almost identical temperature profiles have been foimd. 

Radial conversion (a) and temperature (b) profiles in two-dimensional heterogeneous model with porosity and velocity profiles, (c) Comparison of radially averaged axial temperature profiles for 2D pseudo-homogeneous and heterogeneous models, djdp = 5.8 Rep = 175 [Papageorgiou and Froment, 1995]. 

Fig. 1 Two-dimensional heterogeneous reactor model for a catalytic fixed-bed reactor...

A fundamental dilemma in kinetic data analysis can be demonstrated by the well-known static two-dimensional heterogeneous reactor model for the industrially important catalytic fixed-bed reactor (Fig. I) /2/. 

Chao, H.-C., Rajaram, H. and T.H. Dlangasekare. 2000. Intermediate-scale experiments and numerical simulations of transport under radial flow in a two-dimensional heterogeneous porous medium. Water Resources Research 36(10) 2869-2884. 

Duri A, Autenrieth T, Stadler LM, Leupold O, ChushMn Y, Grubel G, Gutt C (2009) Two-dimensional heterogeneous dynamics at the surface of a coUoidal suspension. Phys Rev Lett 102(14) 145701.doi 10.1103/PhysRevLett.l02.145701... 

---