Summary
An exact solution of the Navier-Stokes equations for flow in a porous pipe is presented. This solution allows the suction or injection at the wall to vary with axial distance and will provide new insight into flows through porous pipes.
Resumé
Une solution exacte d'équation de Navier-Stokes est présentée pour l'écoulement d'un liquide visqueux dans un tube perméable. Ce liquide est aspiré ou injecté avec une vélocité variable et la solution donne une nouvelle optique quant aux tubes poreuses.
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References
F. W. White Jr.,Laminar flow in a uniformly porous tube. J. Appl. Mech.29, 203 (1962).
R. M. Terrill and P. W. Thomas,On laminar flow through a uniformly porous pipe. Appl. Sci. Res.21, 31 (1969).
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).
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).
J. Morel, Z. Lavan, and B. Bernstein,Flow through rotating porous annuli. Phys. Fluids20, 726 (1977).
R. M. Terrill and P. W. Thomas,Spiral flow in a porous pipe. Phys. Fluids16, 356 (1973).
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).
H. Weissberg,Laminar flow in the entrance region of a porous pipe. Phys. Fluids5, 510 (1959).
R. Hornbeck,Laminar entry problem in porous tubes. Phys. Fluids6, 1649 (1963).
J. P. Quaile and E. K. Levy,Laminar flow in a porous tube with suction. J. Heat Transfer, ASME66 (1975).
R. M. Terrill,Flow through a porous annulus. Appl. Sci. Res.17, 204 (1966).
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Terrill, R.M. An exact solution for flow in a porous pipe. Z. angew. Math. Phys. 33, 547–552 (1982). https://doi.org/10.1007/BF00955703
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DOI: https://doi.org/10.1007/BF00955703