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Anderson, Orson L.

Calculation of internal viscous flows in axisymmetric ducts at moderate to high Reynolds numbers. (English) Zbl 0438.76028

Comput. Fluids 8, 391-411 (1980).
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Cited in 6 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
65Z05 Applications to the sciences

Keywords:

internal flows; axisymmetric ducts; high Reynolds numbers; parabolizing; two dimensional; streamline curvature; streamline divergence; thin channel; conformal mapping; Schwartz-Christoffel transformation
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References:

[1] Schlicting, H., Boundary Layer Theory (1968), McGraw-Hill: McGraw-Hill New York
[2] Goldstein, S., Modern Developments in Fluid Mechanics (1965), Dover Press: Dover Press New York
[3] Wang, Y. L.; Longwell, P. A., Laminar flow in the inlet section of parallel plates, A.I.Ch.E.J., 10, 3, 323-329 (1964)
[4] Brandt, A.; Gillis, J., Magnetohydrodynamic flow in the inlet region of a straight channel, Phys. Fluids, 9, 690-699 (1966) · Zbl 0139.22601
[5] Gosman, A. D.; Pun, W. M.; Runchal, A. K.; Spalding, D. B.; Wolfstein, M., Heat and Mass Transfer in Recirculating Flows (1969), Academic Press: Academic Press London · Zbl 0239.76001
[6] Morihara, H.; Cheng, R. T., Numerical solutions of the viscous flow in the entrance region of parallel plates, J. Comp. Phys., 11, 550-572 (1973) · Zbl 0254.76026
[7] Williams, J. C., Viscous compressible and incompressible flow in slender channels, AIAA J., 1, 186-195 (1963) · Zbl 0115.20901
[8] Bodoia, J. R.; Osterle, J. F., Finite difference analysis of plane Poiseuelle and Couette flow development, Appl. Sci. Res., A10, 265-276 (1976) · Zbl 0100.22701
[9] Rae, W. J., Some numerical results on viscous low density nozzle flows in the slender-channel approximation, AIAA J., 9, 811-820 (1971)
[10] Blottner, F. G., Numerical solution of slender channel laminar flows, Comput. Meth. Appl. Mech. Engng, 11, 319-339 (1977) · Zbl 0365.76042
[11] Rubin, S. G.; Kholsa, P. K.; Saari, S., Laminars flows in rectangular channels, Computers and Fluids, 5, 3 (1977)
[12] Garvine, R. W., Upstream influence in viscous interaction problems, Physics Fluids, 11, 7, 1413-1423 (1968) · Zbl 0187.50802
[13] Smith, F. T., Upstream interaction in channel flows, J. Fluid Mech., 79, 631-655 (1977) · Zbl 0351.76032
[14] Kober, H., Dictionary of Conformal Representation (1957), Dover: Dover New York · Zbl 0049.33508
[15] Hinze, J. O., Turbulence (1959), McGraw-Hill: McGraw-Hill New York · Zbl 0117.42904
[16] van Driest, E. R., On turbulent flow near a wall, J. Aero. Sci., 28, 11 (1956) · Zbl 0073.20802
[17] Clauser, E., The turbulent boundary layer, Advanced Appl. Math., 4, 1-51 (1956)
[18] Coles, D. E., The law of the wake in the turbulent boundary layer, J. Fluid Mech., 1, 161-260 (1956)
[19] Keller, H. B., A new difference scheme for parabolic problems, (Numerical Solution of Partial Differential Equations—II. Numerical Solution of Partial Differential Equations—II, SYNSPADE (1970)) · Zbl 0311.65050
[20] Keller, H. B., Accurate difference methods for linear ordinary differential systems subject to linear constraints, SIAM J. Numer. Anal., 6, 1 (1969) · Zbl 0176.14801
[21] Varah, J. M., On the solution of block-tridiagonal systems arising from certain finite difference equations, Math. Comput., 26, 120 (1972) · Zbl 0266.65029
[22] Courant, R.; Hilbert, D., Methods of mathematical physics, (Partial Differential Equations, Vol. 2 (1962), Interscience Publishers: Interscience Publishers New York) · Zbl 0729.00007
[23] Novak, R. A., Streamline curvature computing procedures for fluid mechanics, J. Engng Power, Trans. ASME (1967)
[24] Hay, G. E., Vector and Tensor Analysis (1953), Dover: Dover New York · Zbl 0052.38201
[25] Wang, K. C., On the determination of zones of influence and zones of dependence for three dimensional boundary layer equations, J. Fluid Mech., 48, 397-404 (1971) · Zbl 0228.76052
[26] Pai, S. I., Viscous’ Flow Theory—II, ((1957), Van Nostrand: Van Nostrand Amsterdam), 10
[27] Laufer, J., Some recent measurements in a two dimensional turbulent channel, J. Aeronaut. Sci., 17, 277 (1950)
[28] Coles, D. E.; Hirst, E. A., (Proc. Comput. Turbulent Boundary Layers. Proc. Comput. Turbulent Boundary Layers, AFOSR-IFP Standard Conference (1968))
[29] Smith, F. T., On entry-flow effects in bifurcating, blocked or constricted tubes, J. Fluid Mech., 78 (1976) · Zbl 0343.76009
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