Shear horizontal surface acoustic waves in functionally graded magneto-electro-elastic half-space

Shodja, H.M.; Eskandari, Shahin; Eskandari, Mehdi

doi:10.1007/s10665-015-9798-6

Cited by 15 publications

(3 citation statements)

References 32 publications

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“…Surface acoustic waves (SAWs) have been utilized extensively for a wide range of microfluidic applications, such as micromixing, micropumping, drop transport, cell handling, and microejectors [1][2][3][4][5], although shear-horizontal waves have never been employed in microfluidic flow mixing. SAWs are created by piezoelectric transduction within a thin solid substrate below a fluid, so that electric power causes the mechanical deformation of the substrate, which, in turn, leads to the motion of the fluid.…”

Section: Travelling Waves In Microfluidic Systemsmentioning

confidence: 99%

Streamwise-travelling viscous waves in channel flows

Riccó

Hicks

2018

J Eng Math

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The unsteady viscous flow induced by streamwise-travelling waves of spanwise wall velocity in an incompressible laminar channel flow is investigated. Wall waves belonging to this category have found important practical applications, such as microfluidic flow manipulation via electro-osmosis and surface acoustic forcing and reduction of wall friction in turbulent wall-bounded flows. An analytical solution composed of the classical streamwise Poiseuille flow and a spanwise velocity profile described by the parabolic cylinder function is found. The solution depends on the bulk Reynolds number R, the scaled streamwise wavelength λ, and the scaled wave phase speed U . Numerical solutions are discussed for various combinations of these parameters. The flow is studied by the boundary-layer theory, thereby revealing the dominant physical balances and quantifying the thickness of the near-wall spanwise flow. The Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) theory is also employed to obtain an analytical solution, which is valid across the whole channel. For positive wave speeds which are smaller than or equal to the maximum streamwise velocity, a turning-point behaviour emerges through the WKBJ analysis. Between the wall and the turning point, the wall-normal viscous effects are balanced solely by the convection driven by the wall forcing, while between the turning point and the centreline, the Poiseuille convection balances the wall-normal diffusion. At the turning point, the Poiseuille convection and the convection from the wall forcing cancel each other out, which leads to a constant viscous stress and to the break down of the WKBJ solution. This flow regime is analysed through a WKBJ composite expansion and the Langer method. The Langer solution is simpler and more accurate than the WKBJ composite solution, while the latter quantifies the thickness of the turning-point region. We also discuss how these waves can be generated via surface acoustic forcing and electro-osmosis and propose their use as microfluidic flow mixing devices. For the electro-osmosis case, the Helmholtz-Smoluchowski velocity at the edge of the Debye-Hückel layer, which drives the bulk electrically neutral flow, is obtained by matched asymptotic expansion.

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Section: Travelling Waves In Microfluidic Systemsmentioning

confidence: 99%

Streamwise-travelling viscous waves in channel flows

Riccó

Hicks

2018

J Eng Math

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“…They have shown that when MEE material is changed into PE material, these surface waves are reduced from twelve to two. Shodja et al [15] have studied the SH surface acoustic wave in functionally graded MEE half space by direct approach and Strohformalism. The Rayleigh waves in MEE half planes have been studied by Feng et al [16], and they have considered sixteen sets of boundary conditions and derived corresponding frequency relations.…”

Section: Introductionmentioning

confidence: 99%

Shear horizontal wave dispersion in two phase magneto-electro-elastic material loaded with viscoelastic fluid layer

Singh,

Prasad

2024

Phys. Scr.

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In the present work, an exact analytical approach has used to study dispersive behavior of the shear horizontal (SH) wave in magneto-electro-elastic (MEE) material, loaded with a viscoelastic fluid. Complex dispersion equations are derived in the cases of electric short magnetic short (ESMS), electric short magnetic open (ESMO), electric open magnetic short (EOMS), and electric open magnetic open (EOMO) boundary conditions by solving the equilibrium equations of MEE material and the Stokes equation of viscoelastic fluid. To validate the present outcomes, the MEE material is changed into piezoelectric and piezomagnetic materials by taking some theoretical assumptions and the outcomes are matched with preexisting results. Effect of volume fraction, wave frequency, substrate thickness and thickness of the fluid layer on phase velocity and attenuation of SH wave have studied. This study may find its applications in better understanding of the surface acoustic wave devices incorporated with viscoelastic fluid layer.

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“…The dispersion properties of circumferential SH wave in different FGPP cylinder shells was studied by Shen et al [18]. SH wave propagation in FGPP half-space was investigated by Shodja et al [19]. Hamdi Ezzin et al investigated waves in piezoelectric/piezomagnetic half-space [20,21] and plates [22] by exploiting the stiffness matrix method.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

Zhang

Elmaimouni

et al. 2018

Materials

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Functionally graded piezoelectric–piezomagnetic (FGPP) material simultaneously consists of piezomagnetic and piezoelectric phases, which are able to convert energy among mechanical, electric, and magnetic fields. The magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied by exploiting the double Legendre orthogonal polynomial method. By means of the Heaviside function, the initial conditions are brought into wave motion equations. Dispersion properties, electric and magnetic potential, and the Poynting vector are calculated. Subsequently, the effect of the graded variation and geometric size on wave characteristics is analyzed. The FGPP fan-shaped cylindrical structures are of complex geometrical shape and material inhomogeneity, so their influences on the magneto-electric effect are the focus of discussion. Results reveal that the cut-off frequencies have a negative relationship with the cross-section area of the structure. The magneto-electric effect could be adjusted via altering the geometric size of the cross-section. These results can be utilized to design and optimize piezoelectric–piezomagnetic fan-shaped transducers.

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Shear horizontal surface acoustic waves in functionally graded magneto-electro-elastic half-space

Cited by 15 publications

References 32 publications

Streamwise-travelling viscous waves in channel flows

Streamwise-travelling viscous waves in channel flows

Shear horizontal wave dispersion in two phase magneto-electro-elastic material loaded with viscoelastic fluid layer

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

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