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A note on laminar flow in a porous tube
 IMA Journal of Applied mathematics
, 1984
"... It is shown that an axisymmetric solution of the NavierStokes equations can be obtained for potential flow superimposed on Poiseuille flow. The result is used here to obtain a fully developed solution for flow in a porous pipe with variable suction or injection and to show how to obtain the suctio ..."
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It is shown that an axisymmetric solution of the NavierStokes equations can be obtained for potential flow superimposed on Poiseuille flow. The result is used here to obtain a fully developed solution for flow in a porous pipe with variable suction or injection and to show how to obtain the suction distribution needed to change a specified axial velocity distribution at one crosssection to a specified axial velocity distribution at another crosssection.
I THIS DISSERTATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED HEAT AND MOMENTUM TRANSFER BETWEEN PARALLEL POROUS PLATES
"... Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the aut ..."
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Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Vapor Flow in Cylindrical Heat Pipes 1
"... Solutions of the complete axisymmetric Navier ..."
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DOI: 10.5897/IJPS11.1753
, 2012
"... Reliable treatments of differential transform method for twodimensional incompressible viscous flow through slowly expanding or contracting porous walls with smalltomoderate permeability ..."
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Reliable treatments of differential transform method for twodimensional incompressible viscous flow through slowly expanding or contracting porous walls with smalltomoderate permeability
Maximum Entropy Boundaries in Lattice Boltzmann Method
"... Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend on dimensionality, LBM scheme, boundary geometry; which is numerically stable, accurat ..."
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Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend on dimensionality, LBM scheme, boundary geometry; which is numerically stable, accurate and local and has a good physical background. This technique, called a maximum entropy method, utilizes the idea of recovering unknown populations on boundary nodes through minimizing node state deviation from equilibrium while assuring velocity or temperature restrictions. Also, theoretical justifications of a popular ZouHe boundaries technique and isothermal boundaries algorithm are provided on the basis of the method derived. Finally, while conducting numerical benchmarks, typical straight boundaries algorithm (ZouHe) was
DEVELOPMENT OF A PREDICTIVE MODEL FOR BULK FLOW THROUGH A POROUS POLYMER MEMBRANE TUBE By
, 2012
"... This Master's Thesis is brought to you for free and open access by the ..."
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This Master's Thesis is brought to you for free and open access by the
unknown title
, 1998
"... work of Terrill (1967) for Couette{ Poiseuille flow in the annulus between concentric cylinders of innite extent is given. Boundary conditions compatible with the formulation allow a study of the eects of inner and outer cylinder transpiration, rotation, translation, stretching and twisting, in addi ..."
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work of Terrill (1967) for Couette{ Poiseuille flow in the annulus between concentric cylinders of innite extent is given. Boundary conditions compatible with the formulation allow a study of the eects of inner and outer cylinder transpiration, rotation, translation, stretching and twisting, in addition to that of an externally imposed constant axial pressure gradient. The problem is governed by , the ratio of inner to outer radii, a Poiseuille number, and nine Reynolds numbers. Singlecylinder and planar problems can be recovered in the limits ! 0 and ! 1, respectively. Two coupled primary nonlinear equations govern the meridional motion generated by uniform mass flux through the porous walls and the azimuthal motion generated by torsional movement of the cylinders; subsidiary equations linearly slaved to the primary flow govern the eects of cylinder translation, cylinder rotation, and an external pressure gradient. Steady solutions of the primary equations for uniform source/sink flow of strength F through the inner cylinder are reported for 0 6 6 1. Asymptotic results corroborating the numerical solutions are found in dierent limiting cases. For F < 0 fluid emitted through the