Transient Boundary Layers Between Porous Plates

1976 ◽  
Vol 43 (4) ◽  
pp. 555-558 ◽  
Author(s):  
W. A. Fiveland ◽  
P.-C. Lu
Keyword(s):  
Laminar Flow ◽  
Pressure Gradient ◽  
Incompressible Fluid ◽  
Boundary Layers ◽  
Parallel Plate ◽  
Flow Patterns ◽  
Numerical Results ◽  
Sine Transform ◽  
Fourier Sine Transform ◽  
Plate Channel

Analysis is made of a transient, fully developed, laminar flow of an incompressible fluid in a porous, parallel-plate channel. The crossflow through the plates is uniform, but is allowed to vary with time. In addition to a pressure gradient due to pumping, the flow is also under the inducement of the motion of one of the plates. Numerical results are obtained through the (final or nonfinal) use of the finite Fourier sine transform. Asymptotic flow patterns showing transient boundary layers are investigated. Finally, the formation of the flow from the start is described in physical terms.

Laminar flow of a heat-generating fluid in a parallel-plate channel

AIChE Journal ◽  
1963 ◽  
Vol 9 (6) ◽  
pp. 797-804 ◽  
Author(s):  
E. M. Sparrow ◽  
J. L. Novotny ◽  
S. H. Lin
Keyword(s):  
Laminar Flow ◽  
Parallel Plate ◽  
Plate Channel

Flow Development in a Parallel Plate Channel

1976 ◽  
Vol 98 (1) ◽  
pp. 145-154 ◽  
Author(s):  
A. Z. Szeri ◽  
C. C. Yates ◽  
S. M. Hai
Keyword(s):  
Laminar Flow ◽  
Velocity Profile ◽  
Turbulent Flow ◽  
Parallel Plate ◽  
Reynolds Numbers ◽  
Momentum Equation ◽  
Essential Difference ◽  
Eddy Viscosity Model ◽  
Asymptotic Profile ◽  
Plate Channel

The paper presents a study of the flow that occurs in a finite, parallel plate channel. The experimental work consists of velocity profile measurements upstream of and inside the channel of a belt-type apparatus. Theoretical prediction of velocity profile development is made via numerical methods in both laminar and turbulent situations. In the laminar flow case analytical solution of a linearized form of the momentum equation was also possible. Good agreement is shown between prediction and experimental results for all Reynolds numbers tested; in turbulent flow this occurs particularly when employing Reichardt’s eddy viscosity model. For laminar flow the entrance length is estimated to be 0.008–0.01 times the Reynolds number, while in turbulent flow no essential difference was found between an entrance and the corresponding asymptotic profile. Upstream from the entrance the similar laminar profiles of Sakiadis were observed experimentally.

Laminar Heat Transfer in a Parallel Plate Channel With Solid and Porous Baffles

2004 ◽  
Author(s):  
Marcelo J. S. de Lemos ◽  
Nicolau B. Santos
Keyword(s):  
Laminar Flow ◽  
Parallel Plate ◽  
Control Volume ◽  
Computational Domain ◽  
Control Volume Method ◽  
Algebraic Equations ◽  
Simple Method ◽  
Volume Method ◽  
Plate Channel ◽  
Elementary Representative Volume

Simulations are presented for laminar flow in a channel containing fins made with solid (impermeable) and porous materials. The equations of mass continuity, momentum and energy are written for an elementary representative volume yielding a set of equations valid for the entire computational domain. These equations are discretized using the control volume method and the resulting system of algebraic equations is relaxed with the SIMPLE method. The presented numerical results for the friction factor f and the Nusselt number Nu were compared with available data indicating that results herein differ by less than 5% in relation to published results. Further simulations comparing the effectiveness of the porous material used showed that no advantages are obtained for using low porosity baffles in the laminar flow regime.

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