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Research Papers

Fluid–Structure Interaction in the Flexible Porous Stratification Manifold

[+] Author and Article Information
Shuping Wang

Department of Mechanical Engineering,
University of Minnesota,
111 Church Street S.E.,
Minneapolis, MN 55455
e-mail: wang2807@umn.edu

Jane H. Davidson

Fellow ASME
Department of Mechanical Engineering,
University of Minnesota,
111 Church Street S.E.,
Minneapolis, MN 55455
e-mail: jhd@umn.edu

Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING: INCLUDING WIND ENERGY AND BUILDING ENERGY CONSERVATION. Manuscript received May 27, 2015; final manuscript received October 8, 2015; published online November 25, 2015. Assoc. Editor: Jorge E. Gonzalez.

J. Sol. Energy Eng 138(1), 011005 (Nov 25, 2015) (8 pages) Paper No: SOL-15-1160; doi: 10.1115/1.4031947 History: Received May 27, 2015; Revised October 08, 2015

A model of the flexible porous manifold that captures the interaction between the flow field and the deformation of the manifold is developed and applied to understand how the fabric manifold works for conditions expected in solar water heaters. Contrary to the widely held hypothesis that the change of cross-sectional area induced by the fluid–structure interaction is beneficial, the numerical results demonstrate the change of cross-sectional area has no significant impact on the effectiveness of the manifold. In comparison to a rigid porous manifold, the performance of the flexible manifold is slightly worse because the collapse of the manifold encourages entrainment. The dimensionless permeability plays a crucial role in determining the performance and can be selected to limit entrainment and release fluid near the vertical level of neutral buoyancy.

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Figures

Grahic Jump Location
Fig. 1

One-dimensional flexible manifold model domain. The dashed line represents the fabric porous wall. The solid line represents the attached inlet pipe and solid bottom of the manifold. The arrows illustrate the direction of the flow.

Grahic Jump Location
Fig. 2

Illustration of local tube law [17]. Subplots on the right are the corresponding tube shapes.

Grahic Jump Location
Fig. 3

Dimensionless cross-sectional area A* change versus dimensionless axial position z*: (a) effect of dimensionless stiffness S̃, (b) effect of dimensionless axial prestress F̃, (c) effect of dimensionless permeability K̃, and (d) effect of Richardson number RiL

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Fig. 4

Predicted manifold performance for the baseline case. The dimensionless stiffness S̃  = 20, the dimensionless axial prestress F̃  = 0.05, the dimensionless permeability K̃  = 0.1, and the Richardson number RiL = 400.

Grahic Jump Location
Fig. 5

Comparison of the dimensionless differential pressure P* and the dimensionless radial flow distribution dm˙∗/dz∗ between the flexible manifold and the rigid manifold

Grahic Jump Location
Fig. 6

The effect of dimensionless permeability K̃ on the dimensionless radial flow distribution dm˙∗/dz∗

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