Effect of sample size on microwave power absorption within dielectric materials: 2D numerical results vs. closed-form expressions

AIChE Journal

Volumn 55, Issue 6, 2009, Pages 1569-1583

  Curet, S ^a   Rouaud, O ^a   Boillereaux, L ^a  

^a Universite de Nantes   (France)

Author keywords

Food; Heat transfer; Mathematical modeling

Indexed keywords

ACCURATE ANALYSIS; ANALYTICAL AND NUMERICAL SOLUTIONS; CLOSED-FORM EXPRESSION; FOOD; HEAT SOURCES; LOW DIELECTRIC MATERIALS; MATHEMATICAL MODELING; MICROWAVE POWER; NUMERICAL PROCEDURES; NUMERICAL RESULTS; NUMERICAL SIMULATION; SAMPLE LENGTH; SAMPLE SIZES;

DIELECTRIC PROPERTIES; HEAT EXCHANGERS; HEATING; MICROWAVE GENERATION; MICROWAVE HEATING; MICROWAVE POWER TRANSMISSION; TWO DIMENSIONAL;

DIELECTRIC MATERIALS;

EID: 67649989435     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11774     Document Type: Article

References (32)

1. Metaxas AC. Foundations of Electroheat: A Unified Approach. Chi-chester, U.K.: Wiley, 1996.
2. Ayappa KG. Microwave heating: an evaluation of power formulations. Chem Eng Sci. 1991;46:1005-1016.
3. Basak T. Role of resonances on microwave heating of oil-water emulsions. AIChE J. 2004;50:2659-2675.
4. Basak T. Analysis of resonances during microwave thawing of slabs. Int J Heat Mass Transfer. 2003;46:4279-4301.
5. Curet S, Rouaud O, Boillereaux L. Microwave tempering and heating in a single-mode cavity: numerical and experimental investigations. Chem Eng Process. 2008;47:1656-1665.
6. Ratanadecho P, Aoki K, Akahori M. A numerical and experimental investigation of the modelling of microwave melting of frozen packed beds using a rectangular wave guide. Int Commun Heat Mass Transfer. 2001;28:751-762.
7. Chamchong M, Datta AK. Thawing of foods in a microwave oven. I. Effect of power levels and power cycling. J Microwave Power Electromagn Energy. 1999;34:22-32.
8. Chatterjee S, Basak T, Das SK. Microwave driven convection in a rotating cylindrical cavity: a numerical study. J Food Eng. 2007;79:1269-1279.
9. Herve AG, Tang J, Luedecke L, Feng H. Dielectric properties of cottage cheese and surface treatment using microwaves. J Food Eng. 1998;37:389-410.
10. Oliveira MEC, Franca AS. Microwave heating of foodstuffs. J Food Eng. 2002;53:347-359.
11. Dincov DD, Parrott KA, Pericleous KA. Heat and mass transfer in two-phase porous materials under intensive microwave heating. J Food Eng. 2004;65:403-412.
12. Geedipalli SSR, Rakesh V, Datta AK. Modeling the heating uniformity contributed by a rotating turntable in microwave ovens. J Food Eng. 2007;82:359-368.
13. Rattanadecho P. The simulation of microwave heating of wood using a rectangular wave guide: influence of frequency and sample size. Chem Eng Sci. 2006;61:4798-4811.
14. Rattanadecho P, Aoki K, Akahori M. A numerical and experimental investigation of the modelling of microwave heating for liquid layers using a rectangular wave guide (effects of natural convection and dielectric properties). Appl Math Modell. 2002;26:449-472.
15. Vegh V, Turner IW, Zhao H. Effective cell-centred time-domain Maxwell's equations numerical solvers. Appl Math Modell. 2005;29: 411-438.
16. Zhao H, Turner IW. The use of a coupled computational model for studying the microwave heating of wood. Appl Math Modell. 2000;24:183-197.
17. Bhattacharya M, Basak T. On the analysis of microwave power and heating characteristics for food processing: asymptotes and resonances. Food Res Int. 2006;39:1046-1057.
18. Bhattacharya M, Basak T. A novel closed-form analysis on asymptotes and resonances of microwave power. Chem Eng Sci. 2006;61:6273-6301.
19. Bhattacharya M, Basak T. New closed form analysis of resonances in microwave power for material processing. AIChE J. 2006;52: 3707-3721.
20. Ayappa KG, Davis HT, Davis EA, Gordon J. 2 Dimensional finite-element analysis of microwave heating. AIChE J. 1992;38:1577-1592.
21. Lanz JE. A Numerical Model of Thermal Effects in a Microwave Irradiated Catalyst Bed. Blacksburg, VA: Virginia Polytechnic Institute and State University, 1998.
22. Zhu J, Kuznetsov AV, Sandeep KP. Mathematical modeling of continuous flow microwave heating of liquids (effects of dielectric properties and design parameters). Int J Therm Sci. 2007;46:328-341.
23. Arunachalam K, Melapudi VR, Udpa L, Udpa SS. Microwave NDT of cement-based materials using far-field reflection coefficients. NDT E Int. 2006;39:585.
24. Jolly P, Turner I. Non-linear field solution of one-dimensional microwave heating. J Microwave Power Electromagn Energy. 1990; 25:3-15.
25. Barringer SA, Davis EA, Gordon J, Ayappa KG, Davis HT. Effect of sample size on the microwave heating rate: oil vs. water. AIChE J. 1994;40:1433-1439.
26. Buffler CR. Microwave Cooking and Processing. New York: Van Nostrand Reinhold, 1993.
27. Taher BJ, Farid MM. Cyclic microwave thawing of frozen meat: experimental and theoretical investigation. Chem Eng Process. 2001; 40:379-389.
28. Akkari E, Chevallier S, Boillereaux L. A 2D non-linear "grey-box" model dedicated to microwave thawing: theoretical and experimental investigation. Comput Chem Eng. 2005;30:321-328.
29. Metaxas AC, Meridith RJ. Industrial Microwave Heating. London: Peter Peregrinus, 1983.
30. Brodie G. Microwave Timber Heating and its Application to Solar Drying. Institute of Land and Food Resources, University of Melbourne; 2005.
31. Saltiel C, Datta AK. Heat and mass transfer in microwave processing. Adv Heat Transfer. 1999;33:1-94.
32. Ayappa KG, SenGupta T. Microwave heating in multiphase systems: evaluation of series solutions. J Eng Math. 2002;44:155-171.