An Efficient Numerical Procedure for the Solution of Laminar Flow and Heat Transfer in Coiled Tubes

Rabadi, N. J.; Chow, J. C. F.; Simon, H.

doi:10.1080/10407787908913413

Cited by 6 publications

(1 citation statement)

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“…Their analysis is limited to small De and a ; yet their predictions agree well with the experiments of Seban & McLaughlin (1963) and Mori & Nakayama (1965). Numerical studies by Akiyama & Cheng (1971), and Kalb & Seader (1972), among others (Patankar, Pratap & Spalding 1974;Rabadi, Chow & Simon 1979;Simon, Chang & Chow 1977;Yee & Humprey 1979;Zapryanov, Christov & Toshov 1980), provides correlations for the effects of De and Pr on heat-transfer rates for intermediate Dean numbers. A common finding is that the t Dennis (1980) has recently suggested that the discrepancy between Van Dyke's series solution and all previous solutions may be due to 'flow bifurcation '.…”

Section: Introductionmentioning

confidence: 60%

Numerical solution for fully developed flow in heated curved tubes

Prusa

Yao

1982

J. Fluid Mech.

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Fully developed laminar flow for a horizontal heated curved tube is studied numerically. The tube is heated so as to maintain a constant axial temperature gradient. A physical model is introduced that accounts for the combined effects of both buoyancy and centrifugal force. Results, for a Prandtl number of one, are presented for a moderate range of Dean numbers and the product of the Reynolds and Rayleigh numbers. Detailed predictions of the flow resistance, the average heat-transfer rate and the secondary-flow streamlines are given. Also presented are results on the position of the local maxima of shear stress and heat-transfer rate. The numerical results reveal that the mass-flow rate is drastically reduced owing to the secondary flow for a given axial pressure gradient. Consequently, the total heat- transfer rate decreases for a more-curved tube as well as for a larger axial temperature gradient. A flow-regime map is provided to indicate the three basic regimes where (i) centrifugal force dominates, (ii) both buoyancy and centrifugal forces are important, and (iii) buoyancy force dominates.

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