A second-order accurate finite volume method for the computation of electrical conditions inside a wire-plate electrostatic precipitator on unstructured meshes

Journal of Electrostatics

Volumn 67, Issue 4, 2009, Pages 597-604

  Long, Zhengwei ^a   Yao, Qiang ^a   Song, Qiang ^a   Li, Shuiqing ^a  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Corona discharge; Electrostatic precipitator; Finite volume method; Least squares reconstruction; Unstructured mesh

Indexed keywords

COMPLEX GEOMETRIES; CORONA DISCHARGE; DIRECT METHOD; EXPERIMENTAL DATA; LEAST-SQUARES RECONSTRUCTION; LOCAL GRADIENTS; NUMERICAL EXPERIMENTS; POTENTIAL EQUATION; RECONSTRUCTION METHOD; SECOND ORDERS; SPACE CHARGES; UNSTRUCTURED CELL; UNSTRUCTURED MESH; UNSTRUCTURED MESHES; UP-WIND SCHEME; WEIGHTED LEAST SQUARES; WIRE-PLATE ELECTROSTATIC PRECIPITATORS;

COMPUTATIONAL FLUID DYNAMICS; ELECTRIC CORONA; ELECTROSTATIC SEPARATORS; ELECTROSTATICS; FINITE VOLUME METHOD; GAS DISCHARGE TUBES; PARTICLES (PARTICULATE MATTER); PLATES (STRUCTURAL COMPONENTS); RESTORATION; WIRE;

ELECTROSTATIC PRECIPITATORS;

EID: 67349126503     PISSN: 03043886     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.elstat.2008.12.006     Document Type: Article

References (43)

1. Cooperman P. A theory for space charge limited currents with application to electrical precipitation. Trans. Am. Inst. Electr. Eng. 79 47 (1979) 1960
2. Böhm J. Electrostatic Precipitators (1982), Elsevier Science, Amsterdam
3. Leutert G., and Bohlen B. The spatial trend of electric field strength and space charge density in plate-type electrostatic precipitators. Staub-Reinhalt. Luft 32 7 (1972) 27
4. McDonald J.R., Smith W.B., Spencer III H.W., and Sparks L.E. A mathematical model for calculating electrical conditions in wire duct electrostatic precipitation devices. J. Appl. Phys. 48 (1977) 2231-2243
5. Lawless P.A., and Sparks L.E. A mathematical model for calculating effects of back corona in wire-duct electrostatic precipitators. J. Electrostat. 51 1 (1980) 242-256
6. Davis J.L., and Hoburg J.F. Wire-duct precipitator field and charge computation using finite element and characteristics methods. J. Electrostat. 14 (1983) 187-1993
7. Butler A.J., Cendes Z.J., and Linnebur P. Interfacing the finite-element method with the method of characteristics in self-consistent electrostatic field methods. IEEE Trans. Ind. Appl. 25 (1989) 533-538
8. Horenstein M.N. Computation of corona space charge, electric field, and V-I characteristic using equipotential charge shell. IEEE Trans. Ind. Appl. 20 (1984) 1607-1612
9. Elmoursi A.A., and Castle G.S.P. Modelling of corona characteristics in a wire-duct precipitator using the charge simulation technique. IEEE Trans. Ind. Appl. 23 (1985) 95-102
10. Kallio G.A., and Stock D.E. Computation of electrical conditions inside wire-duct precipitators using a combined finite-element, finite difference technique. J. Appl. Phys. 59 (1985) 999-1005
11. Levin P.L., and Hoburg J.F. Donor cell-finite element descriptions of wire-duct precipitator fields, charges, and efficiencies. Conf. Proc. IEEE Ind. Appl. Soc. Meeting (1988) 1684-1691
12. Levin P.L. Comparison of the donor cell method to other computational techniques for the duct electrostatic precipitator. J. Electrostat. 25 (1990) 201-220
13. Cristina S., Dinelli G., and Feliziani M. Numerical computation of corona space charge and V-I characteristic in DC electrostatic precipitators. IEEE Trans. Ind. Appl. 27 1 (1991) 147-153
14. Igarashi H., Sakai S., Nakamura T., Morinaga T., and Honma T. A boundary element analysis of space charge fields in a corona device. IEEE Trans. Magn. 29 (1993) 1508-1511
15. Adamiak K. Simulation of corona in wire-duct electrostatic precipitator by means of the boundary element method. IEEE Trans. Ind. Appl. 30 2 (1994) 381-386
16. Barbarics T., Igarashi H., Ivanyi A., and Honma T. Electrostatic field calculation using R-functions and the method of characteristics in electrostatic precipitator. J. Electrostat. 38 (1996) 269-282
17. Lami E., Mattachini F., Gallimberti I., Turri R., and Tromboni U. A numerical procedure for computing the voltage-current characteristics in electrostatic precipitator configurations. J. Electrostat. 34 (1995) 385-399
18. Lami E., Mattachini F., Sala R., and Vigl H. A mathematical model of electrostatic field in wires-plate electrostatic precipitators. J. Electrostat. 39 (1997) 1-21
19. Anagnostopoulos J., and Bergeles G. Corona discharge simulation in wire-duct electrostatic precipitator. J. Electrostat. 54 (2002) 129-147
20. Hong L., Wang L., and Wu Z. Applications of upwind and downwind schemes for calculating electrical conditions in a wire-plate electrostatic precipitator. J. Electrostat. 193 (2004) 697-707
21. Lei H. Charge-Current-Conservation Model for calculating electrical conditions in a wire-plate electrostatic. IEEE. Trans. Diele. Elec. Insul. 4 13 (2006) 795-801
22. Zhuang Y., and Miller S.J. Advance Hybrid Particulate Collector. Final Topic Report for Phase III (2001)
23. H.V. Krigmont, Multi Stage Collector, US Patent No. 6,524,369.
24. Mavriplis D.J. Unstructured mesh discretizations and solvers for computational aerodynamics. AIAA Paper 2007-3955 (June 2007)
25. Chow P., Cross M., and Pericleous K. A natural extension of the conventional finite volume method into polygonal unstructured meshes for CFD application. Appl. Math. Model 20 (1996) 170-183
26. Kaptzov N.A. ElektricheskiyeYavleniya v Gazakh i Vacuume (1947), OGIZ, Moscow
27. Peek Jr. F.W. Dielectric Phenomena in High Voltage Engineering (1929), McGraw-Hill, New York
28. Jayantha P.A., and Turner I.W. A comparison of gradient approximations for use in finite-volume computational models for two-dimensional diffusion equations. Num. Heat Trans. Part B: Fundam. 40 (2001) 367-390
29. Spalding D.B. A novel finite difference formulation for differential equations involving both first and second derivatives. Int. J. Num. Methods Fluids 4 (1972) 551-559
30. Leonard B.P. A stable and accurate convection modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19 (1979) 59-98
31. J.T. Batina, D.J. Jespersen, The Design and Application of Upwind Schemes on. Unstructured Meshes, AIAA Paper 89-0366, January 1986.
32. Demirdzic I., and Peric M. Finite volume method for prediction of fluid flow in arbitrarily shaped domains with moving boundary. Int. J. Num. Methods 10 (1990) 771-790
33. Frink N.T. Upwind scheme for solving the Euler equations on unstructured tetrahedral meshes. AIAA J 30 (1992) 70-77
34. Tamamidis P. A new upwind scheme on triangular meshes using the finite volume method. Comput. Methods Appl. Mech. Eng. 124 (1995) 15-31
35. Lin C.-H., and Lin C.A. Simple high-order bounded convection scheme to model discontinuities. AIAA J 35 (1997) 563-565
36. Date A.W. Solution of transport equations on unstructured meshes with cell-centered colocated variables. Part I: Discretization. Int. J Heat Mass Transfer 48 (2005) 1117-1127
37. Jayantha P.A., and Turner I.W. A second order finite volume technique for simulating transport in anisotropic media. Int. J. Num. Methods Heat Fluid Flow 13 (2003) 31-56
38. Mavriplis D.J. Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes. AIAA Paper 2003-3986 (June, 2003)
39. Bertolazzi E., and Manzini G. A unified treatment of boundary conditions in least square-based finite volume methods. Comput. Math. Appl. 49 (2005) 1755-1765
40. Patankar S.V. Numerical Heat Transfer and Fluid Flow (1980), McGraw-Hill, New York
41. Penney G.W., and Matick R.E. Potentials in D-C corona fields. Trans. AIEE 79 (1960) 91-99
42. Gambit User Manual, ver. 2.3, Fluent Inc., Lebanon, NH, 2002.
43. Felici N.J. Recent advances in the analysis of D.C. ionized electric fields - Part II. Dir. Curr 8 10 (1963) 278-287