Solving moving boundary problems with an adaptive moving grid method: Rotary heat exchangers with condensation and evaporation

Chemical Engineering Science

Volumn 53, Issue 19, 1998, Pages 3393-3411

  Frauhammer, Jörg ^a   Klein, Harald ^b   Eigenberger, Gerhart ^a   Nowak, Ulrich ^c  

^a UNIVERSITY OF STUTTGART   (Germany)

^b LINDE AG   (Germany)

^c ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; CONDENSATION; CONVERGENCE OF NUMERICAL METHODS; EVAPORATION; HEAT EXCHANGERS; HEAT TRANSFER; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

MOVING BOUNDARY PROBLEMS; MOVING GRID METHOD; PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS; REGENERATIVE HEAT EXCHANGE;

COMPUTATIONAL FLUID DYNAMICS;

BOUNDARY CONDITIONS; CONDENSATION; EVAPORATION; HEAT EXCHANGER;

EID: 0032476192     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(98)00135-3     Document Type: Article

References (44)

1. Ahn, T., Pinczewski, W. V. and Trimm, D. L. (1986) Transient performance of catalytic combustors for gas turbine applications. Chem. Engng Sci. 41(1), 55-64.
2. ASHREA (1984) Handbook of Fundamentals. American Society of Heating, Refrigeration and Air Conditioning Engineers, ASHREA Inc, New York.
3. Bird, R. B., Stewart, W. E. and Lightfoot, E. N. (1960). Transport Phenomena. Wiley, New York.
4. Bischoff, K. B. (1963). Accuracy of the pseudo steady state approximation for moving boundary diffusion problems. Chem. Engng Sci. 18, 711-713.
5. Blum, J. G., Sanz-Serna, J. M. and Verwer, J. G. (1988). On simple moving grid methods for one-dimensional evolutionary partial differential equations. J. Comput. Phys. 74, 191-213.
6. Brouwers, H. J. H. (1991). An improved tangency condition for fog formation in cooler-condensers. Int. J. Heat Mass Transfer 34(9), 2387-2394.
7. Brouwers, H. J. H. (1992a). A film model for heat and mass transfer with fog formation. Chem. Engng Sci. 47(12), 3023-3036.
8. Brouwers, H. J. H. (1992b). Film models for transport phenomena with fog formation: the fog film model. Int. J. Heat and Mass Transfer 35(11), 13-28.
9. Brouwers, H. J. H. and Chesters, A. K. (1992). Film models for transport phenomena with fog formation: the classical film model. Int. J. Heat Mass Transfer 35(11), 1-11.
10. Brouwers, H. J. H. and van der Geld, C. W. M. (1996). Heat transfer, condensation and fog formation in crossflow plastic heat exchangers. Int. J. Heat Mass Transfer 39(2), 391-405.
11. Danckwerts, P. V. (1953). Continuous flow systems. Chem. Engng Sci. 2(1), 1-13.
12. Deuflhard, P. (1983). Order and stepsize control in extrapolation methods. Numer. Math. 41, 399-422.
13. Deuflhard, P, Hairer, E. and Zugk, J. (1987). One-step and extrapolation methods for differential algebraic systems. Numer. Math. 51, 501-515.
14. Deuflhard, P, Nowak, U. and Wulkow, M. (1990). Recent developments in chemical computing. Comput. Chem. Engng 14(11), 1249-1258.
15. Epstein, M. and Rosner, D. E. (1970). Enhancement of diffusion-limited vaporization rates by condensation within the thermal boundary layer - 2. Comparison of homogeneous nucleation theory with the critical supersaturation model. Int. J. Heat Mass Transfer 13, 1393-1414.
16. Frauhammer, J. (1992) Numerische Lösung von eindimensionalen parabolischen Systemen mit adaptiven Gittern. Diplomarbeit, Institut für Chemische Verfahrenstechnik, Universität Stuttgart.
17. Fromment, G. F. and Bischoff, K. B. (1979). Chemical Reactor Analysis and Design. Wiley, New York.
18. Furzeland, R. M., Verwer, P. A. and Zegeling, A. (1990) A numerical study of three moving grid methods for one-dimensional partial differential equations which are based on the method of lines. J. Comput. Phys. 89, 349-388.
19. Hairer, E. and Ostermann, A. (1990) Dense output for extrapolation methods. Numer. Math. 58, 419-439.
20. Hasan, M., Mujudmar, A. S. and Weber, M. E. (1991) Cyclic melting and freezing. Chem. Engng Sci. 46(7), 1573-1587.
21. Hausen, H. (1970). Wärmeübertragung im Gegenstrom, Gleichstrom und Kreuzstrom. 1st Edn. Springer, Berlin.
22. Hayashi, Y., Takimoto, A. and Kanbe, M. (1976) Transport-reaction mechanism of mist formation based on the critical supersaturation model. Trans. ASME: J. Heat Transfer, Feb., 114-119.
23. Holmberg, R. B. (1977). Heat and mass transfer in regenerators with nonhygroskopic rotor materials. Trans. ASME: J. Heat Transfer 99(5), 196-202.
24. Kays, W. M. and London, A. L. (1984). Compact Heat Exchangers. 3rd Edn. McGraw-Hill, New York.
25. Legay-Desequelles, F. and Prunet-Foch, B. (1985) Dynamic behaviour of a boundary layer with condensation along a flat plate: comparison with suction. Int. J. Heat Mass Transfer 28(12), 2363-2370.
26. Legay-Desequelles, F. and Prunet-Foch, B. (1986) Heat and mass transfer with condensation in laminar and turbulent boundary layers along a flat plate. Int. J. Heat Mass Transfer 29(1), 95-105.
27. Martin, H. (1988). Wärmeübertrager, 1st Edn. Georg Thieme, Stuttgart.
28. Nowak, U. (1993). Adaptive Linienmethoden für parabolische Systeme in einer Raumdimension, TR 93-14. Tech. Report. Konrad-Zuse-Zentrum für Informationstechnik, Berlin.
29. Nowak, U. (1996) A fully adaptive MOL-treatment of parabolic 1-D problems with extrapolation techniques. Appl. Numer. Math. 20, 129-145.
30. Nowak, U. and Weimann, L. (1991) A Family of Newton Codes for Systems of Highly Nonlinear Equations, TR 91-10. Tech. Report. Konrad Zuse Zentrum für Informationstechnik.
31. Nowak, U., Frauhammer, J. and Nieken, U. (1996) A fully adaptive algorithm for parabolic differential equations in one space dimension. Comput. Chem. Engng 20(5), 547-561.
32. Petzold, L. (1987) Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. App. Numer. Math. 3, 347-360.
33. Petzold, L. R. (1983) A Description of DASSL: A Differential/Algebraic System Solver. Vol. 3. Scientific Computing, ed. R.S. Stepleman et al. Elsevier, Amsterdam.
34. Ramos, J. I. (1993) Adaptive methods of lines for one-dimensional reaction-diffusion equations. Int. J. Numer. Meth. Fluids 16, 697-723.
35. Rosner, D. E. (1967) Enhancement of diffusion-limited vaporization rates by condensation within the thermal boundary layer: 1. The critical supersaturation approximation. Int. J. Heat Mass Transfer 10, 1267-1279.
36. Schiesser, W. E. (1991) The Numerical Method of Lines. Academic Press, San Diego.
37. Sincovec, R. F. and Madsen, N K. (1975) Software for nonlinear partial differential equations. ACM Trans. Math. Software 1(3), 232-263.
38. Stephan, K. and Mayinger, F. (1991). Technische Thermodynamik - Mehrstoffsysteme und chemische Reaktionen, Vol. 2 Springer, Berlin.
39. van Leersum, J. G. (1975). Heat and mass transfer in regenerators. Ph.D. thesis. Department of Mechanical Engineering, Monash University, Australia.
40. van Leersum, J. G and Ambrose, C. W. (1981). Comparison between experiments and a theoretical model of heat and mass transfer in rotary regenerators with nonsorbing matrices. J. Heat Transfer 103(May), 189-195.
41. van Leersum, J. G. and Banks, P. J. (1977) Equilibrium heat and mass transfer in regenerators in which condensation occurs. Int. J. Heat Mass Transfer 20.
42. Vauth, R. (1979) Wärme- und Stoffaustausch in Regenerativ-Wärmetauschern mit rotierenden nicht-adsorbierenden Speichermassen. Forschungsberichte des Deutschen Kälte- und Klimatechnischen Vereins.
43. VDI-Verlag (1991) VDI-Wärmeatlas - Berechnungsblätter für den Wärmeübergang, 6th Edn.
44. Zegeling, P. A., Verwer, J. G. and van Eijkeren, J. C. H. (1991). Application of a Moving-Grid Method to a Class of 1D Brine Transport Problems in Porous Media, NM-R9112. Tech. Report. Centrum for Wiskunde en Informatica, CWI, Amsterdam.