Numerical simulations of compliant material response to turbulent flow

Buckingham, A. C.; Hall, Mary S.; Chun, R.C.

doi:10.2514/6.1984-537

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…volume-based models are based on the Navier equation and include single and multi-layer coatings (e.g., Fraser and Carpenter, 1985;Buckingham et al, 1985;Duncan et al, 1985;Yeo, 1988) as well as isotropic and anisotropic materials (e.g., Duncan, 1988;Yeo, 1990;. The equations describing the stability of the coupled system form a numerical eigenvalue problem for the complex wavenumber of the disturbance.…”

Section: Linear Stability Theorymentioning

confidence: 99%

Compliant Coatings: A Decade of Progress

Gad‐el‐Hak

1996

Applied Mechanics Reviews

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This brief article reviews the important developments in the field of compliant coatings that took place in the past ten years. During this period progress in theoretical and computational methods somewhat outpaced that in experimental efforts. There is no doubt that compliant coatings can be designed to delay transition and to suppress noise on marine vehicles as well as other practical hydrodynamic devices. Transition Reynolds numbers that exceed by an order of magnitude those on rigid-surface boundary layers can be achieved. There is renewed evidence of favorable interactions of compliant coatings even for air flows and even for turbulent boundary layers, but more research is needed to confirm these latest results.

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Section: Linear Stability Theorymentioning

confidence: 99%

Compliant Coatings: A Decade of Progress

Gad‐el‐Hak

1996

Applied Mechanics Reviews

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“…For the compliant materials used in typical experiments (silicon or natural rubber), the Poisson's coefficient is close to 0.5 (Buckingham, Hall & Chun 1985;Joslin, Morris & Carpenter 1991;Carpenter 1993), and thus we setν = 0.5. Then, the only new parameter compared to the plane-wall case is the ratio H/ h.…”

Section: Compliant Wall Modelmentioning

confidence: 99%

Effects of wall compliance on the linear stability of Taylor–Couette flow

et al. 2009

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The stability of the laminar flow in the narrow gap between infinitely long concentric cylinders, the inner of which rotates, is examined for the case of compliant bounding walls, modelled as thin cylindrical shells supported by rigid frames through arrays of springs and dampers. Sufficiently soft walls have a destabilizing influence on the axisymmetric Taylor vortices produced by the centrifugal force, although the effect is limited to modes with large axial wavelengths. Due to the walls flexibility, hydroelastic modes are generated. Complex modal exchanges are observed, as function of the wall properties and the Reynolds number. For axisymmetric modes an asymptotic analysis is conducted in the limit of small axial wavenumber, to show the correspondence between such exchanges and singularities in the analytical solutions. While the axisymmetric modes dominate the spectrum when the walls are rigid or very mildly compliant, a critical non-zero azimuthal wavenumber exists for which the hydroelastic modes become more unstable. Shorter azimuthal waves are favoured by increasing spring stiffness.

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“…Of particular interest is the possibility of drag reduction due to the transition delay in the flow past compliant panels. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] Kramer [16][17][18][19][20][21] advanced the concept that the stability and transition characteristics of a boundary layer may be influenced by coupling it hydroelastically to a compliant coating. In his pioneering paper and several subsequent publications, he reported substantial drag reduction for towed underwater bodies covered with compliant coating modeled after the dolphin skin.…”

Section: Introductionmentioning

confidence: 99%

Inertia flows of Bingham fluids through a planar channel: Hydroelastic instability analysis

Jafargholinejad

Najafi

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, the effect of inertial terms on hydroelastic stability of a pressure-driven flow of a viscoplastic fluid flowing through a channel lined with a highly compliant polymeric gel is investigated. It is assumed that the fluid obeys the Bingham constuitive equation and the polymeric gel follows a two-constant Mooney–Rivlin material, which is used for modeling a nonviscous hyperelastic polymeric coating. A base-state solution is obtained for the fluid motion and solid deformation, simultaneously. Next, some infinitesimally small two-dimensional disturbances are imposed on the base-state solution. Dropping out all nonlinear perturbation terms, the modal linear stability analysis of the channel flow is conducted. The effects of the Bingham number and material constants are then examined on the critical Reynolds number. It is found that the yield stress has a stabilizing effect while the Mooney–Rivlin parameters have destabilizing effects on the pressure-driven flow of Bingham fluids.

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Numerical simulations of compliant material response to turbulent flow

Cited by 3 publications

References 7 publications

Compliant Coatings: A Decade of Progress

Compliant Coatings: A Decade of Progress

Effects of wall compliance on the linear stability of Taylor–Couette flow

Inertia flows of Bingham fluids through a planar channel: Hydroelastic instability analysis

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