Heat transfer and friction for laminar flow of gas in a circular tube at high heating rate

Worsoe-Schmidt, P.; Leppert, G.

doi:10.1016/0017-9310(65)90056-6

Cited by 68 publications

(14 citation statements)

References 8 publications

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“…According to the a postenon' analysis performed by Wors4e-Schmidt and Leppert (19651, for such Peclet numbers the boundary layer approximation is correct after a heated length of 0.5 diameters. Buoyancy forces have been neglected in the momentum balance, being Gr/Re < 3 (Wors4e-Schmidt and Leppert, 1965). The equations of state of ideal gases have been used and the temperature dependence of the gas properties has been approximated with power laws (the T-dependence of heat capacity has been neglected):…”

Section: Model Development Assumptionsmentioning

confidence: 99%

Analysis of multidimensional models of monolith catalysts for hybrid combustors

et al. 1995

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Section: Model Development Assumptionsmentioning

confidence: 99%

Analysis of multidimensional models of monolith catalysts for hybrid combustors

et al. 1995

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“…The value of the pressure drop is calculated at each step in such a manner that the velocity field satisfies the integrated continuity equation. This procedure is similar to that used for non-radiating laminar fluid flow in Refs [30,31] . The convection part of this parabolic procedure was validated by comparison with the results of [30,31] for laminar forced convection in circular duct.…”

Section: Numerical Procedurementioning

confidence: 99%

“…This procedure is similar to that used for non-radiating laminar fluid flow in Refs [30,31] . The convection part of this parabolic procedure was validated by comparison with the results of [30,31] for laminar forced convection in circular duct. The relative difference, in terms of Nusselt numbers, between our results and the previous investigations do not exceed 3%.…”

Section: Numerical Procedurementioning

confidence: 99%

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Combined Thermal Radiation and Mixed Convection in an Inclined Circular Duct

Lakhal¹,

Trabelsi²,

Sediki³

et al. 2009

American J. of Engineering and Applied Sciences

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Problem statement: Modeling thermal radiation with simultaneous buoyancy and forced convection for real gases flowing inside system with complex geometry is a difficult task encountered in engineering applications. Purpose of this study was to research numerically the interaction of mixed convection and thermal radiation in laminar air flow inside an inclined cylindrical duct with Uniform Wall Heat Flux (UWHF). This study highlighted the radiative double effects of water vapor in air flow on thermal and on dynamic fields. Approach: Flow equations and energy balance equation were solved simultaneously with temperature dependant thermophysical properties. An implicit finite difference technique was used to solve mass, momentum and energy equations. In order to take into account the non-gray radiative behavior of water vapor (H 2 O), a global absorption distribution function model was used to represent the infrared radiative properties. Results: Results were presented in term of temperature, velocity and radiative power fields and of evolution of bulk temperature and Nusselt numbers. Effects of thermal radiation on temperature and on velocity distributions were also examined. Conclusion/Recommendations: It was shown that inclination angle of duct had a significant effect on thermal and dynamic fields especially for thick medium. Radiation strongly affected the velocity profiles. Numerical results were discussed referring to available experimental data in order to improve estimations of engineering parameters.

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“…This approach makes the numerical scheme for variabledensity flows more conservative so that it proved to be much better in terms of efficiency and accuracy. Further details of this numerical method can be found in the Topical Report of Bae et al [2005, accepted for The code has been successfully validated for various types of flows and heat transfer problems which include (i) laminar flows of gas in a circular tube at high heating rates [Worsoe-Schmidt and Leppert, 1965]; (ii) laminar forced and mixed convection to water near critical region [Lee and Howell, 1996a, b]; (iii) constant-property fullydeveloped turbulent pipe flows [Eggels et al, 1994] and (iv) strongly-heated turbulent internal gas flows [Shehata and McEligot, 1998]. Although the results from these validation studies were already presented in the first and second annular reports of this project in 2002 and 2003, some additional remarks are warranted as follows: First, the predictive capability of the present DNS for variable-property turbulent flows has been well demonstrated by successfully simulating the experiment of Shehata and McEligot [1998] where significant gas property variation occurred due to strong heating rate.…”

Section: Scientific Needs Includementioning

confidence: 99%