


1 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:6 Page:603634
Kharif Christian;
Pelinovsky Efim;
来源数据库：[Web of Science, Scopus]
被引频次：612
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A review of physical mechanisms of the rogue wave phenomenon is given. The data of marine observations as well as laboratory experiments are briefly discussed. They demonstrate that freak waves may appear in deep and shallow waters. Simple statistical analysis of the rogue wave probability based on the assumption of a Gaussian wave field is reproduced. In the context of water wave theories the probabilistic approach shows that numerical simulations of freak waves should be made for very long times on large spatial domains and large number of realizations. As linear models of freak waves the following mechanisms are considered: dispersion enhancement of transient wave groups, geometrical focusing in basins of variable depth, and wavecurrent interaction. Taking into account nonlinearity of the water waves, these mechanisms remain valid but should be modified. Also, the influence of the nonlinear modulational instability (BenjaminFeir instability) on the rogue wave occurence is discussed. Specific numerical simulations were performed in the framework of classical nonlinear evolution equations: the nonlinear Schrödinger equation, the DaveyStewartson system, the Kortewegde Vries equation, the KadomtsevPetviashvili equation, the Zakharov equation, and the fully nonlinear potential equations. Their results show the main features of the physical mechanisms of rogue wave phenomenon. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

2 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:2 Page:133143
Sharipov Felix;
来源数据库：[Web of Science, Scopus]
被引频次：100
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The CercignaniLampis scattering kernel of the gassurface interaction is applied to numerical calculations of the viscous slip coefficient, the thermal slip coefficient and the temperature jump coefficient. The S model of the Boltzmann equation is numerically solved by the discrete velocity method. The calculations have been carried out in the wide ranges of the accommodation coefficients of momentum and energy. Comparing the present results with experimental data on the viscous slip coefficient the values of the accommodation coefficients are calculated for some gases and glass surface. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

3 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:6 Page:529543
Aly E.H;
Elliott L;
Ingham D.B;
来源数据库：[Web of Science, Scopus]
被引频次：52
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In this paper we have numerically investigated the existence and uniqueness of a vertically flowing fluid passed a model of a thin vertical fin in a saturated porous media. We have assumed the twodimensional mixed convection from a fin, which is modelled as a fixed, semiinfinite vertical surface, embedded in a fluidsaturated porous media under the boundarylayer approximation. We have taken the temperature, in excess of the constant temperature in the ambient fluid on the fin, to vary as x̄ , where x̄ is measured from the leading edge of the plate and λ is a fixed constant. The Rayleigh number is assumed to be large so that the boundarylayer approximation may be made and the fluid velocity at the edge of the boundarylayer is assumed to vary as x̄ . The problem then depends on two parameters, namely λ and ε, the ratio of the Rayleigh to Péclet numbers. It is found that when λ > 0 ( 0 and λ < 0 there is a negative value of ε (which depends on λ) for which there is no solution. Finally, solutions for 0< ε ≪1 and ε ≫1 have been obtained. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

4 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:2 Page:145154
Sharipov Felix;
来源数据库：[Web of Science, Scopus]
被引频次：48
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The CercignaniLampis scattering kernel of the gassurface interaction is applied to numerical calculations of the Poiseuille flow and thermal creep through a long tube. The S model of the Boltzmann equation was numerically solved by the discrete velocity method. The calculations have been carried out in the wide ranges of the rarefaction parameter and of the accommodation coefficients. Comparing the present results with experimental data the values of the accommodation coefficients have been calculated. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

5 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:2 Page:123131
Weidman Patrick D;
Putkaradze Vakhtang;
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被引频次：37
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Laminar stagnation flow, axisymmetrically yet obliquely impinging on the generators of a circular cylinder, is formulated as an exact solution of the NavierStokes equations. The outer stream is composed of a rotational axial flow superposed onto irrotational radial stagnation flow normal to the cylinder. The relative importance of these two flows is measured by a parameter γ. The viscous problem is reduced to a coupled pair of ordinary differential equations governed by a Reynolds number R introduced by Wang (1974). Twoterm asymptotic formulae valid for R are derived for the wall shear stress and for the position and slope of streamline attachment. These results agree well with exact numerical calculations for R gt; 30. In checking the consistency of our solution in the planar limit R → ∞ we uncover and correct an error in the work of Dorrepaal (2000) for the position of viscous streamline attachment. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

6 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:3 Page:203220
Authié Guillaume;
Tagawa Toshio;
Moreau René;
来源数据库：[Web of Science, Scopus]
被引频次：35
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Numerical computations and experiments were carried out for a buoyant flow of liquid metal (mercury in the experiments) in a long vertical enclosure of square crosssection, in the presence of a uniform horizontal magnetic field. A strong emphasis is put on the case of a magnetic field perpendicular to the applied temperature gradient for two reasons: (1) the MHD damping is smaller than with any other orientation, and (2) the quasitwodimensionality of the flow in this case yields a quite efficient velocity measurement technique. The enclosure is heated by a thermally controlled flow of water from one of the vertical walls and cooled by a similar technique from the facing wall. Those two walls are good thermal conductors (thick copper plates in the experiments), whereas the four other walls are thermally insulating. All walls are electrically insulated from the fluid. In this paper, as well as in the companion paper by Tagawa et al. (Eur. J. Mech. B Fluids 21 (4) (2002) 383398), we model analytically the Hartmann layers present along the walls perpendicular to the magnetic field. This modeling, which yields boundary conditions for the core flow without any meshing of the thin layers, is quite accurate when Hartmann layers are stable. The numerical results are in fairly good agreement with the experimental data. They namely reveal how the heat flux and the fluid flow organization depend on the magnetic field. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

7 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:4 Page:331343
Kuzhir Pavel;
Bossis Georges;
Bashtovoi Victor;
Volkova Olga;
来源数据库：[Web of Science, Scopus]
被引频次：26
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Flow of a magnetorheological (MR) fluid through different types of porous media (bundle of cylinders, packed beds of magnetic and nonmagnetic spheres and cylinders) is considered, both theoretically and experimentally. The theory is based on averaging the magnetic and rheological properties of MR fluid in tortuous channels making different angles between local field and local velocity. A comparison of the pressure drop through porous beds and spiral channels is analyzed and practical recommendations are developed. It is shown that the mean yield stress of Bingham MR fluid (as well as the pressure drop, ΔP) depends on the mutual orientation of the external magnetic field and the main axis of the flow. This theory is tested against our experimental results and is shown to well predict the pressure drop obtained in different porous media. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

8 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:5 Page:445471
Frank Alexander M;
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被引频次：34
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A thinfilm flow on a locally heated vertical plate is studied numerically by solving a full 3D nonlinear timedependent problem. The method of particles for incompressible fluid has been adapted to take into account viscous and surface tension forces. The effect of periodic rivuletlike structure formation, observed experimentally at moderate heating, has been simulated and investigated. The interesting flow picture including the spots of a strong reverse and spanwise thermocapillary surface flows is revealed. Some qualitative and quantitative comparisons with the experimental results are presented. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

9 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:3 Page:271277
Kuang Jun;
Maxworthy Tony;
Petitjeans Philippe;
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被引频次：35
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An experiment in which one viscous silicone oil displaces another more viscous silicone oil in capillary tubes, leading to a version of socalled fingering displacement, is reported here. The fractional volume of the more viscous fluid left on the tube wall after the finger front had passed was measured. This fraction, m, defined as m=1U /U , is a critical diagnostic parameter used to identify finger patterns. Here, U is the mean velocity of the Poiseuille flow ahead the finger front and U the propagation speed of the finger tip. In the present case, the fraction m is a function of the Peclet number, Pe, a viscous Atwood number, At, and a gravitational parameter, F. In this experiment, m was obtained by measuring the finger propagation speed, U , for a range of injection rates, tube diameters and orientations and fluid viscosities to cover a range of Pe,At and F. For large Pe, the results show the fraction m reached a constant value that depended only on Atwood number. For small Pe, gravitational effects were substantial as measured by the magnitude of F, which is the ratio of gravitational to viscous effects. In this case m is a function of all three parameters and it becomes possible to interpolate the results to obtain the value of m when gravity is absent. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

10 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:6 Page:555579
Guermond J.L;
Léorat J;
Nore C;
来源数据库：[Web of Science, Scopus]
被引频次：22
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A mixed Lagrange finite element technique is used to solve the Maxwell equations in the magnetohydrodynamic (MHD) limit in an hybrid domain composed of vacuum and conducting regions. The originality of the approach is that no artificial boundary condition is enforced at the interface between the conducting and the insulating regions and the nonconducting medium is not approximated by a weakly conducting medium as is frequently done in the literature. As a first evaluation of the performance of the method, we study twodimensional (2D) configurations, where the flow streamlines of the conducting fluid are planar, i.e., invariant in one direction, and either the magnetic field ("magnetic scalar" case) or the electric field ("electric scalar" case) is parallel to the invariant direction. Induction heating, eddy current generation, and magnetic field stretching are investigated showing the usefulness of finite element methods to solve magnetodynamical problems with complex insulating boundaries. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

11 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:4 Page:391408
Siewert C.E;
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被引频次：21
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A polynomial expansion procedure and an analytical discreteordinates method are used to solve four basic problems, all based on the linearized Boltzmann equation for rigidsphere interactions, that describe heat transfer and/or evaporationcondensation between two parallel surfaces or for the case of a semiinfinite half space. Relevant to the case of two surfaces, the basic problem of heat transfer driven by a temperature difference at two confining walls described by a general Maxwell gassurface interaction law (a mixture of specular and diffuse reflection) is solved for the case where different accommodation coefficients can be used for each of the two bounding surfaces. In addition, the classical problem of "reverse temperature gradient" in the theory of evaporation and condensation is also solved for the case of two parallel liquidvapor interfaces kept at different temperatures. In regard to halfspace applications, an evaporation/condensation problem based on a presumed known interface condition and a heatconduction problem (with no net flow) driven by energy flow from a bounding surface with know properties are each solved with what is considered a high degree of accuracy. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

12 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:1 Page:5171
Aoki Kazuo;
Takata Shigeru;
Taguchi Satoshi;
来源数据库：[Web of Science, Scopus]
被引频次：23
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Steady flows of a vapor with evaporation and condensation on the boundary consisting of the condensed phase of the vapor are considered in the following situation: (i) the boundary is of arbitrary smooth shape; (ii) the Knudsen number Kn, the ratio of the typical mean free path of the vapor molecules to the characteristic length of the system, is small; (iii) small amount of a noncondensable gas is contained in the system; more specifically, the amount is such that the average concentration of the noncondensable gas is of the order of Kn in the case of a closed domain (the case of an infinite domain is also discussed). The steady behavior of the vapor and the noncondensable gas, in particular, that in the continuum limit where Kn vanishes, is investigated by means of a systematic asymptotic analysis based on kinetic theory. In this situation, the average concentration of the noncondensable gas becomes infinitely small in the continuum limit in the case of a closed domain. However, it is shown that the noncondensable gas accumulates in the infinitely thin Knudsen layer on the boundary where condensation is taking place and has a significant effect on the global vapor flow in the continuum limit. An example demonstrating such an effect is also given. © 2002 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

13 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:4 Page:379390
Österlund Jens M;
Lindgren Björn;
Johansson Arne V;
来源数据库：[Web of Science, Scopus]
被引频次：15
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The nearwall region of zeropressure gradient turbulent boundary layers was studied through correlation and other twopoint measurements over a wide range of Reynolds numbers. The requirements of high spatial resolution were met by use of a MEMStype of hotfilm sensor array together with a small, inhouse built hotwire probe. Streakspacing and characteristics of buffer region shearlayer events were studied. At high Reynolds numbers the motions that are of substantially larger scale than the streaks have a significant influence on the nearwall dynamics. By removing such scales through highpass filtering a streak spacing was recovered that is close to that found in low Reynolds number flows. The frequency of occurrence of shearlayer events was found to scale with a mixed time scale, in analogy with earlier findings in channel flow, again indicating the increasing relative influence of large scales with increasing Reynolds number. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

14 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:3 Page:259270
Fransson Jens H.M;
Corbett Peter;
来源数据库：[Web of Science, Scopus]
被引频次：19
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A variational technique in the temporal framework is used to study initial configurations of disturbance velocity which maximize perturbation kinetic energy in the asymptotic suction boundary layer (ASBL). These optimal perturbations (OP) excite significant and remarkably persistent transient growth, on the order of that which occurs in the Blasius boundary layer (BBL). In contrast, classical modal analysis of the ASBL predicts a critical Reynolds number two orders of magnitude larger than that for the BBL. As in other twodimensional boundary layer flows, disturbances undergoing maximum amplification are infinitely elongated in the direction of the flow and take the form of streamwiseoriented vortices which induce strong variations in the streamwise perturbation velocity (streaks). The Reynolds number dependence of the maximum growth, and the best choice of scaling for the spanwise wavenumber of the perturbation causing it, are elucidated. There is good agreement between the streak resulting from OP and disturbances measured in experiments in which the asymptotic suction boundary layer is subject to free stream turbulence (FST). This agreement is shown to improve as the level of FST increases. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

15 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:5 Page:473486
Rees D.Andrew S;
Bassom Andrew P;
Pop Ioan;
来源数据库：[Web of Science, Scopus]
被引频次：13
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We study the forced convective heat transfer from a uniform temperature cylinder placed perpendicular to an otherwise uniform fluid stream in a porous medium. Attention is focussed on how the absence of local thermal equilibrium between the solid and fluid phases affects the rate of heat transfer from the cylinder when the Péclet number is very large. It is found in all cases that the surface rate of heat transfer for the fluid is always greater than that of the solid matrix. Detailed numerical results are given for a wide range of parameter values, and these are supplemented by asymptotic analyses for both small and large values of the interphase heat transfer coefficient, H. When this coefficient is small the thermal field corresponding to the solid phase occupies a much greater region than does the thermal field of the fluid phase. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

16 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:2 Page:167178
Montanero J.M;
来源数据库：[Web of Science, Scopus]
被引频次：14
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The dynamical response of an axisymmetric liquid bridge to smallmagnitude perturbations is studied in the framework of the Cosserat model. A numerical procedure to deal with this problem is proposed. The method is found to provide very accurate results from a comparison with the analytical predictions for the cylindrical configuration. The frequencies and damping rates characterizing the oscillation modes are obtained numerically for arbitrary axisymmetric liquid bridge shapes, considering the combined effects of residual gravity, the liquid bridge rotation, the inequality of the disks, and the liquid bridge volume. The results are compared with the predictions obtained from the threedimensional model for inviscid liquid bridges. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

17 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:4 Page:345353
Moresco P;
Alboussière T;
来源数据库：[Web of Science, Scopus]
被引频次：14
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By means of a weakly nonlinear stability analysis it is shown that the Hartmann boundary layer presents subcritical instability in the proximity of the minimum linear critical Reynolds number. This gives further support to earlier speculations that finite amplitude effects account for the discrepancies between the results of the linear stability analysis and experimental evidence on laminarisation. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

18 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:4 Page:355368
Meseguer José;
Espino José L;
Perales José M;
LaverónSimavilla Ana;
来源数据库：[Web of Science, Scopus]
被引频次：13
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The stability of axisymmetric liquid bridges held between nonequal circular supporting disks, and subjected to an axial acceleration, has been analyzed both theoretically and experimentally. Some characteristics of the breaking process which takes place when the stability limit of minimum volume is reached (mainly the dependence with the disks separation of the volume of the liquid drops resulting after the liquid bridge breakage) have been theoretically studied by using standard asymptotic expansion techniques. From the analysis of the nature of the unstable equilibrium shapes of minimum volume at the stability limit it is concluded that the relative volume of the main drops resulting from the liquid bridge rupture drastically change as the disks separation grows. Theoretical predictions have been experimentally checked by working with very small size liquid bridges (supporting disks being some 1 millimeter in diameter), the agreement between theoretical predictions and experimental results being remarkable. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

19 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:3 Page:239258
Allen Leanne;
Bridges Thomas J;
来源数据库：[Web of Science, Scopus]
被引频次：12
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A model is developed for the interaction of the Ekman boundary layer with a compliant twodimensional surface. To study the hydrodynamic instability of this interaction a new accurate numerical framework extending the compound matrix method is introduced. Preliminary results are presented on the implications of the compliant surface on the stability of the Ekman layer which show that the compliant surface has negligible effect on the critical Reynolds number. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

20 

European Journal of Mechanics / B Fluids
ISSN:09977546 Volume:22 Issue:6 Page:545553
Martı́nezSuástegui L;
Treviño C;
Méndez F;
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被引频次：2
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In this work, the conjugated heat transfer characteristics of a thin vertical strip of finite length, placed in a porous medium has been studied using numerical and asymptotic techniques. The nondimensional temperature distribution in the strip and the reduced Nusselt number at the top of the strip are obtained as a function of the thermal penetration parameter s, which measures the thermal region where the temperature of the strip decays to the ambient temperature of the surrounding fluid. The numerical values of this nondimensional parameter permits to classify the different physical regimes, showing different solutions: a thermally long behaviour, an intermediate transition and a short strip limit. © 2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.


