Heat transfer coefficients for a hot gas oscillating at high amplitudes in a cylindrical chamber

Horton, M. D.; Eisel, J. L.; Dehority, G. L.

doi:10.1002/aic.690100432

Cited by 4 publications

References 2 publications

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Pulsating flow in a heat exchanger

Hatami

1980

Wärme- und Stoffübertragung

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The problem of heat transfer in industrial processes, heat exchangers, and combustion chambers is formulated for a case where flow inside the chamber consists of a periodic motion imposed on a fully developed turbulent flow. It is shown that the velocity pulsations induce harmonic oscillations in temperature, thus breaking the temperature field into a steady mean part and a harmonic part. The interaction between the velocity and temperature oscillations introduces an extra term into the energy equation which reflects the effect of pulsations in producing higher heat transfer rates.The analysis shows that when the mean temperature is fully developed with constant heat flux at the wall, there is no effect of the velocity pulsations on the total heat transfer rate along the chamber.For the case where the mean temperature profile is not fully developed, analytical solutions are obtained for asymptotic values of the pulsations frequency. The results show the temperature gradient and its dependence on the frequency. These results are used to evaluate the feasibility of pulsating the flow in a heat exchanger for obtaining higher rates of heat transfer.

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Pulsating flow in a heat exchanger

Hatami

1980

Wärme- und Stoffübertragung

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Heat transfer—A review of current literature

Eckert

Irvine

Sparrow

et al. 1965

International Journal of Heat and Mass Transfer

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Measurements of Wall Heat Transfer in the Presence of Large-Amplitude Combustion-Driven Oscillations

Perry

Culick

1974

Combustion Science and Technology

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Two independent methods were used to measure the rate of heat transfer from a hot gas to the walls of a cylindrical combustion chamber in which large-amplitude combustion-driven oscillations accompanied a mean flow. The results obtained from the two methods were in good agreement and indicated a definite increase in the heat transfer in the presence of oscillations. The increase was found to vary approximately as the square root of the oscillation amplitude and as the fourth root of the frequency. A correlation in terms of dimensionless variables was obtained using the thickness of the acoustic boundary layer as the appropriate length scale. NOMENCLATURE a = speed of sound A", = wall area per unit length of tube C = [~'" J 1 / 2 T; TfJJ Cj) = specific heat at constant pressure D = chamber diameter f = frequency h = heat transfer coefficient k = thermal conductivity L = tube length L, = T-burner chamber length lit = mass flow rate Nu = Nusselt number based on <5 p' = oscillatory pressure Q = heat transfer rate per unit length of tube R = gas constant Rea = acoustic Reynolds number based on t5 t = time T = temperature T; = inlet temperature of the gas Tw = wall temperature x = position coordinate along tube y = specific heats ratio lJ == acoustic boundary layer thickness A = rhcj)/TTDh

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Heat transfer coefficients for a hot gas oscillating at high amplitudes in a cylindrical chamber

Abstract: = mean chamber pressure at time zero during one cycle of oscillations inner surface with time = volume of combustion chamber = specific heat ratio for the combustion gas

Cited by 4 publications

References 2 publications

Pulsating flow in a heat exchanger

Pulsating flow in a heat exchanger

Heat transfer—A review of current literature

Measurements of Wall Heat Transfer in the Presence of Large-Amplitude Combustion-Driven Oscillations

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