European Journal of Mechanics

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The effect of an insoluble surfactant on the skin friction of a bubble

Jie Li

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 59-73

In this paper, we develop a novel moving mesh method suitable for solving axisymmetric free-boundary problems, including the Marangoni effect induced by surfactant or temperature variation. This method employs a body-fitted grid system where the gas–liquid interface is one line of the grid system. We model the surfactant equation of state with a non-linear Langmuir law, and, for simplicity, we limit...

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Editorial Board

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > CO2

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Observations on the predictions of fully developed rotating pipe flow using differential and explicit algebraic Reynolds stress models

Olof Grundestam, Stefan Wallin, Arne V. Johansson

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 95-112

The differences between two differential Reynolds stress models (DRSM) and their corresponding explicit algebraic Reynolds stress models (EARSM) are investigated by studying fully developed axially rotating turbulent pipe flow. The mean flow and the turbulence quantities are strongly influenced by the imposed rotation, and is well captured by the differential models as well as their algebraic truncations...

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On two-dimensional linear waves in Blasius boundary layer over viscoelastic layers

Z. Wang, K.S. Yeo, B.C. Khoo

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 33-58

This work concerns the direct numerical simulation of small-amplitude two-dimensional ribbon-excited waves in Blasius boundary layer over viscoelastic compliant layers of finite length. A vorticity-streamfunction formulation is used, which assures divergence-free solutions for the evolving flow fields. Waves in the compliant panels are governed by the viscoelastic Navier's equations. The study shows...

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Algebraic growth in a Blasius boundary layer: Nonlinear optimal disturbances

Simone Zuccher, Alessandro Bottaro, Paolo Luchini

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 1-17

The three-dimensional, algebraically growing instability of a Blasius boundary layer is studied in the nonlinear regime, employing a nonparallel model based on boundary layer scalings. Adjoint-based optimization is used to determine the “optimal” steady leading-edge excitation that provides the maximum energy growth for a given initial energy. Like in the linear case, the largest transient growth...

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Transient growth in linearly stable gravity-driven flow in porous media

G.J.M. Pieters, C.J. van Duijn

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 83-94

In this paper we study gravitational instability of a saline boundary layer formed by evaporation induced upward throughflow at the horizontal surface of a porous medium. Van Duijn et al. [P.A.C. Raats, D. Smiles, and A.W. Warrick (Eds.), Environmental Mechanics – Water, Mass and Energy Transfer in the Biosphere – The Philip Volume, Geophys. Monographs, Vol. 129, American Geophysical Union, 2002,...

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A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures

C.E. Siewert

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 130-136

A Legendre expansion of the scattering kernel, a conservation condition and some exact solutions are reported for the McCormack kinetic model that is used to describe a binary mixture of rarefied gases.

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Surface effects in rarefied gas dynamics: an analysis based on the Cercignani–Lampis boundary condition

R.F. Knackfuss, L.B. Barichello

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 113-129

The flow of a rarefied gas, in a plane channel, is investigated, with special attention to the gas–surface interaction, modeled by the Cercignani–Lampis kernel that is defined in terms of normal and tangential accommodation coefficients. An analytical version of the discrete-ordinates method is used to solve, in an unified approach, the Poiseuille flow, thermal-creep flow and Couette flow problems...

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The convective stability of circular Couette flow induced by a linearly accelerated inner cylinder

Min Chan Kim, Sin Kim, Chang Kyun Choi

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 74-82

The onset of Taylor–Görtler instability induced by a linearly accelerated inner cylinder in Couette flow is analyzed by using the propagation theory based on linear theory and momentary instability concept. It is well-known that the primary transient Couette flow is laminar but secondary motion sets in when the inner cylinder velocity exceeds a certain value. The dimensionless critical time τc to...

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Similarity solutions of energy and momentum boundary layer equations for a power-law shear driven flow over a semi-infinite flat plate

G.E. Cossali

European Journal of Mechanics / B Fluids > 2006 > 25 > 1 > 18-32

The problem of a steady forced convection thermal boundary-layer driven by a power-law shear is investigated. The search for similarity solutions reduces the problem to a couple of ordinary differential equations containing three parameters: the exponent of the decaying exterior velocity profile, the exponent of the power-law prescribing the thermal condition on the wall and Prandtl number. The effects...

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PIV measurements in a weakly separating and reattaching turbulent boundary layer

K.P. Angele, B. Muhammad-Klingmann

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 204-222

A high Reynolds number flat plate turbulent boundary layer was studied in a wind-tunnel experiment using particle image velocimetry (PIV). The flow is subjected to an adverse pressure gradient (APG) which is designed such that the boundary layer separates and reattaches, forming a weak separation bubble. With PIV we are able to get a more complete picture of this complex flow phenomenon. The view...

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A numerical method for the computation of bifurcation points in fluid mechanics

J.M. Cadou, M. Potier-Ferry, B. Cochelin

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 234-254

Two original algorithms are proposed for the computation of bifurcation points in fluid mechanics. These algorithms consist of finding the zero values of a specific indicator. To compute this indicator a perturbation method is used which leads to an analytical expression of this indicator. Two kinds of instability are considered: stationary and Hopf bifurcations. To prove the efficiency and advantages...

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The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms

A.V. Kuznetsov

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 223-233

The aim of this paper is to present a continuum model for thermo-bioconvection of oxytactic bacteria in a porous medium and investigate the combined effects of microorganisms' upswimming and heating from below on the stability of bioconvection in a horizontal layer filled with a fluid saturated porous medium. Different from traditional bioconvection, thermo-bioconvection has two destabilizing mechanisms...

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Dynamical system based optimal control of incompressible fluids. Boundary control

Yulian Spasov, Karl Kunisch

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 153-163

The choice of the cost functional for vortex reduction in optimal control of fluid flow is still an important challenge. We propose to utilize a dynamical systems based measure for vorticity involving the velocity gradient tensor in the cost functional. Its effectiveness and some of its features are demonstrated for boundary control problems.

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Separation control at hydrofoils using Lorentz forces

G. Mutschke, G. Gerbeth, T. Albrecht, R. Grundmann

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 137-152

Lorentz forces originating from surface-mounted actuators of permanent magnets and electrodes in weakly conducting fluids like seawater can be used to control flow separation at hydrofoils. The numerical results presented here are based on direct numerical simulation in the laminar flow regime, limited to Reynolds numbers of O(500). Control by steady forcing at the suction side and by oscillatory...

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Injection and coalescence of bubbles in a quiescent inviscid liquid

F.J. Higuera, A. Medina

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 164-171

Time periodic generation and coalescence of bubbles by injection of a gas at a constant flow rate through an orifice at the bottom of a quiescent inviscid liquid is investigated numerically using a potential flow formulation. The volume of the bubbles is determined for different values of a Weber number and a Bond number. Single bubbling and different regimes of coalescence are described by these...

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Fluid stirrings in a circular cavity with various driven boundaries

Tzong-Yih Hwu

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 192-203

The present study deals with the complicated phenomena of fluid stirrings for the Stokes flows in a circular cavity. Two belts set on the boundary and periodically rotated with varied speeds construct the model flows. By means of the manipulations, the chaotic fluid stirrings prevail. Rather than to compute the finite-Lyapunov exponent in a local sense, a large number of fluid filaments are traced...

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Editorial Board

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > CO2

article

A conditional sampling method based on fuzzy clustering for the analysis of large-scale dynamics in turbulent flows

G. Usera, A. Vernet, J. Pallares, J.A. Ferré

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 172-191

A conditional sampling technique, based on fuzzy clustering, is used to educe the organization of the secondary flow motions observed in the large-eddy simulation of a turbulent square channel flow. The data analysed are the multi-valued time series obtained from sampling the secondary velocity components at a fixed cross-section of the channel, over consecutive time steps. The mean values of the...

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Free surface waves in equilibrium with a vortex

Alan R. Elcrat, Kenneth G. Miller

European Journal of Mechanics / B Fluids > 2006 > 25 > 2 > 255-266

Finite amplitude solitary waves of uniform depth which interact with a stationary point vortex are considered. Waves both with and without a submerged obstacle are computed. The method of solution is collocation of Bernoulli's equation at a finite number of points on the free surface coupled with equations for equilibrium of a point vortex. The stream function and vortex location are found by computing...

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European Journal of Mechanics - B/Fluids

The effect of an insoluble surfactant on the skin friction of a bubble

Editorial Board

Observations on the predictions of fully developed rotating pipe flow using differential and explicit algebraic Reynolds stress models

On two-dimensional linear waves in Blasius boundary layer over viscoelastic layers

Algebraic growth in a Blasius boundary layer: Nonlinear optimal disturbances

Transient growth in linearly stable gravity-driven flow in porous media

A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures

Surface effects in rarefied gas dynamics: an analysis based on the Cercignani–Lampis boundary condition

The convective stability of circular Couette flow induced by a linearly accelerated inner cylinder

Similarity solutions of energy and momentum boundary layer equations for a power-law shear driven flow over a semi-infinite flat plate

PIV measurements in a weakly separating and reattaching turbulent boundary layer

A numerical method for the computation of bifurcation points in fluid mechanics

The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms

Dynamical system based optimal control of incompressible fluids. Boundary control

Separation control at hydrofoils using Lorentz forces

Injection and coalescence of bubbles in a quiescent inviscid liquid

Fluid stirrings in a circular cavity with various driven boundaries

Editorial Board

A conditional sampling method based on fuzzy clustering for the analysis of large-scale dynamics in turbulent flows

Free surface waves in equilibrium with a vortex

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