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An exact solution for flow in a porous pipe. (English) Zbl 0507.76096

MSC:
76S05Flows in porous media; filtration; seepage
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References:
[1] F. W. White Jr.,Laminar flow in a uniformly porous tube. J. Appl. Mech.29, 203 (1962). · Zbl 0106.18403
[2] R. M. Terrill and P. W. Thomas,On laminar flow through a uniformly porous pipe. Appl. Sci. Res.21, 31 (1969). · Zbl 0179.56904 · doi:10.1007/BF00411596
[3] Raithby, G.,Laminar heat transfer in the thermal entrance region of circular tubes and two-dimensional rectangular ducts with wall suction and injection. Int. J. Heat and Mass Transfer14, 223 (1971). · doi:10.1016/0017-9310(71)90091-3
[4] V. I. Zinchenko and O. P. Fedorova,Analysis of flow in an annular duct with large injection at the walls. Izv. Aka. Nauk SSSR, Mekhaniki Zhidkosti3, 135 (1976). · Zbl 0377.76081
[5] J. Morel, Z. Lavan, and B. Bernstein,Flow through rotating porous annuli. Phys. Fluids20, 726 (1977). · Zbl 0358.76030 · doi:10.1063/1.861943
[6] R. M. Terrill and P. W. Thomas,Spiral flow in a porous pipe. Phys. Fluids16, 356 (1973). · Zbl 0253.76024 · doi:10.1063/1.1694349
[7] J. Morel, B. Bernstein and Z. Lavan,A method of parameter differentiation applied to flow in porous annuli. Z. Angew. Math. Phys.27, 289 (1976). · Zbl 0359.34017 · doi:10.1007/BF01590503
[8] H. Weissberg,Laminar flow in the entrance region of a porous pipe. Phys. Fluids5, 510 (1959). · Zbl 0091.18601 · doi:10.1063/1.1705941
[9] R. Hornbeck,Laminar entry problem in porous tubes. Phys. Fluids6, 1649 (1963). · Zbl 0116.42405 · doi:10.1063/1.1710999
[10] J. P. Quaile and E. K. Levy,Laminar flow in a porous tube with suction. J. Heat Transfer, ASME66 (1975).
[11] R. M. Terrill,Flow through a porous annulus. Appl. Sci. Res.17, 204 (1966). · Zbl 0148.21805 · doi:10.1007/BF00386091