Experimental Study of Fully Developed Laminar Flow in a Porous Pipe with Wall Injection

Bundy, R.D.

doi:10.1063/1.1692835

Cited by 29 publications

(5 citation statements)

References 3 publications

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“…Pressure drop of laminar flow in a circular tube in the presence of suction and injection.of laminar flow through porous circular tubes for large and small /&I have been derived by Yuan and Finkelstein[21] and Terrill and Thomas[22]. Some of these theoretical predictions have been confirmed experimentally by Bundy and Weissberg[23]. For 14.1 < l/4 as first-order approximation for the pressure drop (46) and (42), with as momentum flux coefficients 1 and 4/3 substituted, are drawn.…”

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confidence: 87%

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Film models for transport phenomena with fog formation: the classical film model

Brouwers

Chesters

1992

International Journal of Heat and Mass Transfer

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In the present analysis the classical film model (or film theory) is reviewed and extended. First, on the basis of a thorough analysis, the governing equations of diffusion, energy and momentum of a stagnant film are derived and solved. Subsequently, the well-known correction factors for the effect of suction/injection on mass, heat and momentum transfer are derived. Next, employing global balances of mass, energy and momentum, the film model is applied to channel flow. This application yields a new expression for the pressure drop and hence it is compared extensively with experimental and theoretical results of previous investigators, yielding good agreement. The onset of fog formation in a binary mixture, both in the transferring film and/or in the bulk, is explained graphically with the help of the relation between temperature and vapour mass fraction and the saturation line of the vapour.

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confidence: 87%

“…(18),(23) (25) (26), (34) and (40) assuming uniform interface conditions, separating the variables I and E, and integrating yields :…”

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confidence: 99%

Film models for transport phenomena with fog formation: the classical film model

Brouwers

Chesters

1992

International Journal of Heat and Mass Transfer

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“…The equations depend upon a single non-dimensional number, the transverse Reynolds number defined for this case in terms of the channel width and suction velocity. Similarity solutions were tested in early experiments where evidence of good agreement between measurements and theoretical predictions are reported (Bundy and Weissberg, 1970). Many authors have extended Bermans' symmetric series solution and a very rich structure of solutions, including backflow and multiple steady states, are evident (Skalak and Wang, 1978).…”

Section: Introductionmentioning

confidence: 97%

Viscous flow of a Newtonian fluid in a curved channel with flexible moving porous walls

Martinez¹,

Seo²,

Jong³

2008

Chemical Engineering Science

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“…Similarity solutions were tested in early experiments on laminar flows in ducts with wall injection, where evidence of good agreement between measurements and theoretical predictions was reported. 2 Many authors have studied Berman's equation ͑see, for example, Refs. 3-12͒ and found a very rich structure of solutions.…”

Section: Introductionmentioning

confidence: 99%

Spatial stability of similarity solutions for viscous flows in channels with porous walls

Ferro

Gnavi

2000

Physics of Fluids

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The spatial stability of similarity solutions for an incompressible fluid flowing along a channel with porous walls and driven by constant uniform suction along the walls is analyzed. This work extends the results of Durlofsky and Brady [Phys. Fluids 27, 1068 (1984)] to a wider class of similarity solutions, and examines the spatial stability of small amplitude perturbations of arbitrary shape, generated at the entrance of the channel. It is found that antisymmetric perturbations are the best candidates to destabilize the solutions. Temporally stable asymmetric solutions with flow reversal presented by Zaturska, Drazin, and Banks [Fluid Dyn. Res. 4, 151 (1988)] are found to be spatially unstable. The perturbed similarity solutions are also compared with fully bidimensional ones obtained with a finite difference code. The results confirm the importance of similarity solutions and the validity of the stability analysis in a region whose distance to the center of the channel is more than three times the channel half-width.

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Experimental Study of Fully Developed Laminar Flow in a Porous Pipe with Wall Injection

Abstract: Pressure drops and exit centerline velocities were determined for nonswirling laminar flow in a porous pipe with wall injection. The measurements confirm earlier theoretical results except for the recent additional solutions obtained by Terrill and Thomas.

Cited by 29 publications

References 3 publications

Film models for transport phenomena with fog formation: the classical film model

Film models for transport phenomena with fog formation: the classical film model

Viscous flow of a Newtonian fluid in a curved channel with flexible moving porous walls

Spatial stability of similarity solutions for viscous flows in channels with porous walls

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