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  • 11
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    Editorial Board (2018)
    Elsevier
    Details
    Publication Date: 2018-04-25
    Description: Publication date: June 2018 Source: Wave Motion, Volume 79
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
    Published by Elsevier
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  • 12
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    A coustic radiation force of a solid elastic sphere immersed in a cylindrical cavity filled with ideal fluid (2018)
    Elsevier
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    Publication Date: 2018-04-25
    Description: Publication date: Available online 21 April 2018 Source: Wave Motion Author(s): Jingyao Shi, Xiaofeng Zhang, Ruimin Chen, Guangbin Zhang An expression for the acoustic radiation force function on a solid elastic spherical particle placed in an infinite rigid cylindrical cavity filled with an ideal fluid is deduced when the incident wave is a plane progressive wave propagated along the cylindrical axis. The acoustic radiation force of the spherical particle with different materials was computed to validate the theory. The simulation results demonstrate that the acoustic radiation force changes demonstrably because of the influence of the reflective acoustic wave from the cylindrical cavity. The sharp resonance peaks, which result from the resonance of the fluid-filled cylindrical cavity, appear at the same positions in the acoustic radiation force curve for the spherical particle with different radii and materials. Relative radius, which is the ratio of the sphere radius and the cylindrical cavity radius, has more influence on acoustic radiation force. Moreover, the negative radiation forces, which are opposite to the progressive directions of the plane wave, are observed at certain frequencies.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 13
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    A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations (2018)
    Elsevier
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    Publication Date: 2018-04-25
    Description: Publication date: Available online 22 April 2018 Source: Wave Motion Author(s): R.C. Mittal, Rajni Rohila This manuscript is concerned with a fourth order numerical method based on cubic B-spline functions to solve the regularized and modified regularized long wave(MRLW) equations which are very important nonlinear wave equations as they can be used to model a large number of problems arising in applied sciences. A rigorous Fourier series analysis has been carried out and it is shown that method is unconditionally stable. Efficiency and applicability of the method have been checked by applying it on seven important problems of the regularized long wave equation and modified regularized long wave equation. Such equations possess three invariants of motion viz. mass, energy and momentum which have been determined numerically and shown to coincide with their analytical values. The propagation of one, two and three solitary waves, undulations of waves and development of the Maxwellian initial condition into one, two and more solitary waves have been shown graphically. The main advantage of the method is that it captures propagation of solitary waves very efficiently. Method is capable of depicting the collisions between solitary waves. Conservation of mass energy and momentum is established by providing tables of related quantities. This method may be used to get solution at any point of the domain by using collocation formula. Since the numerical technique is unconditionally stable, time steps may be taken large so that solutions at higher time levels are calculated easily. Our mathematical results substantiate the physical relevance of the chosen model.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 14
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    Particle manipulation via integration of electroosmotic flow of power-law fluids with standing surface acoustic waves (SSAW) (2018)
    Elsevier
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    Publication Date: 2018-04-13
    Description: Publication date: Available online 12 April 2018 Source: Wave Motion Author(s): Mehdi Kiyasatfar, Nitesh Nama Standing surface acoustic wave (SSAW) based microfluidic devices have shown great promise towards fluid and particle manipulation applications in medicine, chemistry, and biotechnology. In this article, we present an analytical model for investigating continuous manipulation of particles (both synthetic and biological) within electroosmotic flow of non-Newtonian bio-fluids in a microfluidic channel under the influence of standing surface acoustic waves (SSAW). The particles are injected along the center of channel into the electroosmotically driven flow of power-law fluids, wherein their transport through the SSAW region is dictated by the hydrodynamic, electrophoretic, and acoustic forces. We first present a mathematical model to analyze the characteristics of electroosmotic flow of non-Newtonian power-law fluids in a hydrophobic slit microchannel. Next, we investigate the trajectories of particles in the flow field due to the combined effect of electroosmotic, electrophoretic, and acoustophoretic forcing mechanisms. The effect of key parameters such as particle size, their physical properties, input power, flow rate, and flow behavior index on the particle trajectories is examined while including the effect of the channel walls. The presented model delineates the methodologies of improving SSAW-based particle separation technology by considering the fluid rheology as well as the surface properties of the channel walls. Therefore, we believe that this model can serve as an efficient tool for device design and quick optimizations to explore novel applications concerning the integration of electroosmotic flows with acoustofluidic technologies.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 15
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    Propagation and scattering of waves by dense arrays of impenetrable cylinders in a waveguide (2018)
    Elsevier
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    Publication Date: 2018-04-12
    Description: Publication date: Available online 11 April 2018 Source: Wave Motion Author(s): K.A. Belibassakis, G. Arnaud, V. Rey, J. Touboul A coupled numerical scheme, based on modal expansions and boundary integral representations, is developed for treating propagation and scattering by dense arrays of impenetrable cylinders inside a waveguide. Numerical results are presented and discussed concerning reflection and transmission, as well as the wave details both inside and outside the array. The method is applied to water waves propagating over an array of vertical cylinders in constant depth extended all over the water column, operating as a porous breakwater unit in a periodic arrangement (segmented breakwater). Focusing on the reflection and transmission properties, a simplified model is also derived, based on Foldy-Lax theory. The latter provides an equivalent index of refraction of the medium representing the porous structure, modelled as an inclusion in the waveguide. Results obtained by the present fully coupled and approximate models are compared against experimental measurements, collected in wave tank, showing good agreement. The present analysis permits an efficient calculation of the properties of the examined structure, reducing the computational cost and supporting design and optimization studies.
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    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 16
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    Low frequency approximations for effective wavenumbers and moduli of randomly perforated poroelastic media (2018)
    Elsevier
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    Publication Date: 2018-03-30
    Description: Publication date: Available online 28 March 2018 Source: Wave Motion Author(s): D. Gnadjro, H. Franklin, A. d’Almeida A random distribution of cylindrical fluid cavities in a poroelastic matrix obeying Biot’s theory is considered. Using the Conoir-Norris generalization of the Linton-Martin formula to media sustaining both P and SV waves, we examine successively the incidence of fast, slow and shear waves onto the random medium. Analytical expressions are sought for the effective wavenumbers of the coherent waves in the Rayleigh limit. The estimates for the mass density and moduli of the heterogeneous media are presented up to the order of c 2 in concentration. The limiting case of random fluid cavities in an elastic matrix is also discussed.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 17
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    A non-reflective spectral wave maker for SPH modeling of nonlinear wave motion (2018)
    Elsevier
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    Publication Date: 2018-03-29
    Description: Publication date: Available online 27 March 2018 Source: Wave Motion Author(s): Hongjie Wen, Bing Ren A momentum source function derived from the linear wave theory is introduced into the weakly compressible smoothed particle hydrodynamic (SPH) model for the long-time simulation of regular and irregular wave generation problems. Wave absorption is realized by adding a velocity attenuation term into the governing momentum equation. The performances of the wave maker are tested under different wave conditions. The wave maker is then applied to the study of the challenging processes, such as random wave breaking on the reef-face or the reef-crest, wave setup and spectral transfer of wave energy from the peak frequency to lower frequencies over the reef-flat. The predicted results are compared with the experimental data and a good agreement is obtained. The SPH model with a non-reflective spectral wave maker can be used as a practical tool for studying wave interaction with coastal structures.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 18
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    Modulational instability and higher order-rogue wave solutions for the generalized discrete Hirota equation (2018)
    Elsevier
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    Publication Date: 2018-03-25
    Description: Publication date: Available online 23 March 2018 Source: Wave Motion Author(s): Xiao-Yong Wen, Deng-Shan Wang This paper investigates the modulational instability and higher order-rogue waves in the generalized discrete Hirota system. The Lax pair and conservation laws for this system are constructed. Then the existent conditions for its modulational instability to form the rogue waves are given starting from the plane wave solution. Furthermore, the higher-order discrete rogue waves of this system are reported using the novel discrete version of generalized perturbation ( n , N − n ) -fold Darboux transformation. Finally, the dynamical behaviors of the strong and weak interactions of these higher-order discrete rogue waves are discussed analytically and numerically, which exhibits abundant nonlinear wave structures. These results may be useful for understanding some physical phenomena in optical fibers and relevant fields.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 19
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    Vector bright soliton interactions of the coupled Sasa-Satsuma equations in the birefringent or two-mode fiber (2018)
    Elsevier
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    Publication Date: 2018-03-20
    Description: Publication date: Available online 17 March 2018 Source: Wave Motion Author(s): Lei Liu, Bo Tian, Hui-Min Yin, Zhong Du Investigated in this paper are vector bright soliton interactions of the coupled Sasa-Satsuma equations, which describe the simultaneous propagation of two ultrashort pulses in the birefringent or two-mode fiber. Lax pair and the corresponding Darboux-dressing transformation are constructed. Performing the iterative formula, analytic bright one-, two- and even N -soliton solutions can be obtained. Through classifying different parameter conditions, we present six cases of interactions between the vector two solitons via the graphic analysis. Compared with vector soliton interactions of the coupled NLS, incoherently coupled NLS and coupled Hirota equations, interactions of the coupled Sasa-Satsuma equations are richer and more complicated. During interaction between the two solitons, in addition to the energy exchanges, the singular-I soliton always keeps the sech-type profile, while the singular-II and nonsingular solitons may be converted to each other.
    Print ISSN: 0165-2125
    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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  • 20
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    Spiral breakup in a RD system of cardiac excitation due to front–back interaction (2018)
    Elsevier
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    Publication Date: 2018-03-09
    Description: Publication date: Available online 8 March 2018 Source: Wave Motion Author(s): M. Osman Gani, Toshiyuki Ogawa We consider a two-variable partial differential equations model of cardiac excitation and study spiral wave instability in a one-parameter family of solutions. We investigate numerically the existence of periodic traveling wave solution and show the front and the back interaction far away from the bifurcation point in one dimension. In two dimensions, we show the emergence of a stable spiral pattern before the bifurcation point. The most complex spatiotemporal pattern is called ventricular fibrillation when the breakup of one spiral wave makes another wave and the medium becomes chaotic. We show spiral wave instability and periodic traveling wave instability in the same computational settings. It is found that the pattern of the front–back interaction in two dimensions is similar with that of in the one dimension.
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    Electronic ISSN: 1878-433X
    Topics: Geosciences , Physics
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