1. bookVolume 13 (2011): Issue 4 (January 2011)
Journal Details
License
Format
Journal
First Published
03 Jul 2007
Publication timeframe
4 times per year
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English
access type Open Access

Mathematical modeling of air duct heater using the finite difference method

Journal Details
License
Format
Journal
First Published
03 Jul 2007
Publication timeframe
4 times per year
Languages
English

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.

Keywords

Stein, R.P. (1966). Liquid metal heat transfer, Adv. Heat Tran., 3. 101-174. DOI: 10.1016/S0065-2717(08)70051-0.Search in Google Scholar

Stein, R.P. (1966). Computational procedures for recent analysis of counter flow heat exchangers, AICHE J. 12, 1216-1219. DOI: 10.1002/aic.690140331.Search in Google Scholar

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.Search in Google Scholar

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.Search in Google Scholar

Bentwich, M. (1973). Multi stream counters current heat exchangers, ASME J. Heat Tran. 95, 458-463. DOI:10.1115/1.3450089.Search in Google Scholar

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.Search in Google Scholar

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.Search in Google Scholar

Jung, D. & Assanis, D.N. (2006). Numerical modeling of cross flow compact heat exchanger with louvered fins using thermal resistance concept, SAE International.Search in Google Scholar

Holman, J.P. (2002). Heat Transfer, Ninth edition, McGraw-Hill.Search in Google Scholar

Kern, D.K. (1965). Process Heat Transfer, McGraw - Hill.Search in Google Scholar

Incorpera, F.P., Dewitt, D.P., Bergman, T.L. & Lavine, A.S. (2007). Introduction to Heat Transfer, Fifth edition, John Wiley & Sons.Search in Google Scholar

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.Search in Google Scholar

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