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Number of results
2011 | 13 | 4 | 47-52

Article title

Mathematical modeling of air duct heater using the finite difference method

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this research, mathematical modeling of a duct heater has been performed using energy conservation law, Stefan-Boltzman law in thermal radiation, Fourier's law in conduction heat transfer, and Newton's law of cooling in convection heat transfer. The duct was divided to some elements with equal length. Each element has been studied separately and air physical properties in each element have been used based on its temperature. The derived equations have been solved using the finite difference method and consequently air temperature, internal and external temperatures of the wall, internal and external convection heat transfer coefficients, and the quantity of heat transferred have been calculated in each element and effects of the variation of heat transfer parameters have been surveyed. The results of modelling presented in this paper can be used for the design and optimization of heat exchangers.

Publisher

Year

Volume

13

Issue

4

Pages

47-52

Physical description

Dates

published
1 - 1 - 2011
online
2 - 1 - 2012

Contributors

author
  • Department of Chemical Engineering, Islamic Azad University, Mahshahr branch, Mahshahr, Iran
  • Department of Chemical Engineering, Islamic Azad University, Mahshahr branch, Mahshahr, Iran
author
  • Chemical Engineering College, Kurdistan University, Iran

References

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  • Stein, R.P. (1966). Computational procedures for recent analysis of counter flow heat exchangers, AICHE J. 12, 1216-1219. DOI: 10.1002/aic.690140331.[Crossref]
  • Nuge, R.J. & Gill. (1965). Analysis of heat and mass transfer in some counter current flows, Int. J. Heat Mass Tran. 8, 873-886. DOI:10.1016/0017-9310(65)90072-4.[Crossref]
  • Nuge, R.J. & Gill. (1966). An analytical study of laminar counter flow double pipe heat exchanger, AICHE J. 12, 279-286. DOI: 10.1002/aic.690120214.[Crossref]
  • Bentwich, M. (1973). Multi stream counters current heat exchangers, ASME J. Heat Tran. 95, 458-463. DOI:10.1115/1.3450089.[Crossref]
  • Seban, R.A. (1972). Laminar counter flow exchangers: an approximate account of wall resistance and variable heat transfer coefficient, ASME J. Heat Tran. 94, 391-396. DOI:10.1115/1.3449957.[Crossref]
  • Bejan, A. (1977). The concept of irreversibility in heat exchanger design: counter flow heat exchangers for gas to gas applications, ASME J. Heat Tran. 99, 374-380. DOI: 10.1115/1.3450705.[Crossref]
  • Jung, D. & Assanis, D.N. (2006). Numerical modeling of cross flow compact heat exchanger with louvered fins using thermal resistance concept, SAE International.
  • Holman, J.P. (2002). Heat Transfer, Ninth edition, McGraw-Hill.
  • Kern, D.K. (1965). Process Heat Transfer, McGraw - Hill.
  • Incorpera, F.P., Dewitt, D.P., Bergman, T.L. & Lavine, A.S. (2007). Introduction to Heat Transfer, Fifth edition, John Wiley & Sons.
  • Van der Kraan, M., Peeters, M.M.W., Fernandez Cid, M.V., Woerlee, G.F., Veugelers, W.J.T. & Witkamp, G.J. (2005). The influence of variable physical properties and buoyancy on heat exchanger design for near- and supercritical conditions, J. Supercritical Fluids. 34, 99-105. DOI:10.1016/j.supflu.2004.10.007.[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_v10026-011-0048-z
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