The longitudinal laminar flow of a liquid in a bundle of rods

Sholokhov, A.A.; Buleev, N. I.; Gribanov, Yu.I.; Minashin, V. E.

doi:10.1007/bf00825717

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Effective Permeability1

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1968

2002

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Cited by 3 publications

(1 citation statement)

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“…can be calculated by (25), where I 1 ; I 2 ; I 3 are given by (26), (27), (29), respectively. In order to apply (29), we have to determine w 2m by solving the functional equation (22).…”

Section: Effective Permeabilitymentioning

confidence: 99%

Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell

Mityushev

Adler²

2002

Zeitschrift für Angewandte Mathematik und Mechanik

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We study the longitudinal permeability of a spatially periodic rectangular array of circular cylinders, when a Newtonian fluid is flowing at low Reynolds number along the cylinders. The longitudinal component of the velocity obeys a Poisson equation which is transformed into a functional equation. This equation can be solved by the method of successive approximations. The major advantage of this technique is that the permeability of the array can be expressed analytically in terms of the radius of the cylinders and of the aspect ratio of the unit cell.

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“…can be calculated by (25), where I 1 ; I 2 ; I 3 are given by (26), (27), (29), respectively. In order to apply (29), we have to determine w 2m by solving the functional equation (22).…”

Section: Effective Permeabilitymentioning

confidence: 99%

Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell

Mityushev

Adler²

2002

Zeitschrift für Angewandte Mathematik und Mechanik

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Heat transfer in longitudinal flow of a liquid through bundles of rods

Sholokhov¹,

Minashin²

1968

At Energy

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References

1978

Laminar Flow Forced Convection in Ducts

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Service). The complete titles are described in the Appendix. 1. L. Graetz, Über die Wärmeleitungsfähigkeit von Flüssigkeiten (On the thermal conduc tivity of liquids). Part 1. Ann. Phys. Chem. 18, 79-94 (1883); Part 2. Ann. Phys. Chem. 25,337-357(1885). 2. W. Nusselt, Die Abhängigkeit der Wärmeübergangszahl von der Rohrlänge (The dependence of the heat-transfer coefficient on the tube length).

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The longitudinal laminar flow of a liquid in a bundle of rods

Cited by 3 publications

References 2 publications

Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell

Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell

Heat transfer in longitudinal flow of a liquid through bundles of rods

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