• Title/Summary/Keyword: Rayleigh model

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A Numerical Study of Natural Convection in a Square Enclosure with a Circular Cylinder at Different Vertical Locations (원형 실린더가 존재하는 사각형 실린더 내부의 자연대류에 관한 수치적 연구)

  • Kim, Byeong-Su;Lee, Dae-Sung;Yoon, Hyun-Sik;Lee, Hyun-Goo;Ha, Man-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.3 s.258
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    • pp.273-282
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    • 2007
  • Numerical calculations are carried out for the natural convection induced by temperature difference between a cold outer square cylinder and a hot inner circular cylinder. A two-dimensional solution for unsteady natural convection is obtained, using the immersed boundary method (IBM) to model an inner circular cylinder based on finite volume method, for different Rayleigh numbers varying over the range of $10^4\;to\;10^6$. The study goes further to investigate the effect of an inner cylinder location on the heat transfer and fluid flow. The location of inner circular cylinder is changed vertically along the center-line of square enclosure. The number, size and formation of cell strongly depend on Rayleigh number and the position of inner circular cylinder. The changes in heat transfer quantities have been presented.

A Cooperative Transmission Strategy using Entropy-based Relay Selection in Mobile Ad-hoc Wireless Sensor Networks with Rayleigh Fading Environments

  • An, Beong-Ku;Duy, Tran Trung;Kong, Hyung-Yun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.3 no.2
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    • pp.147-162
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    • 2009
  • In this paper, we propose a Cooperative Transmission Strategy using Entropy-based Relay Selection in Mobile Ad-hoc Wireless Sensor Networks(MAWSN) with Rayleigh Fading Environments. The main features and contributions of the proposed cooperative transmission strategy are as follows. First, entropy-based relay selection is used to improve data transmission reliability from a source node to a destination node. Second, we present a theoretical analysis model for the proposed cooperative transmission strategy with the outage probability of the end-to-end performance. The performance of our protocol is evaluated using analysis and simulation.

Separation of Seismic Signals using a Polarization Filter based on the Complex Trace Analysis Method (복소트레이스 분극필터를 이용한 다성분 탄성파자료 신호분리)

  • Kim, Ki-Young;Lee, So-Young
    • Journal of the Korean Geophysical Society
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    • v.8 no.1
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    • pp.35-38
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    • 2005
  • Polarization filtering based on the multicomponent complex trace analysis method is performed to reject Rayleigh waves and to enhance S waves. To test the polarization filter, synthetic seismic data were constructed for a simple two-layer model based on the finite difference method. Rayleigh waves with elliptic motion are eliminated effectively and P and S waves with linear motions are well separated each other.

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Space-Time Block Coding Techniques for MIMO 2×2 System using Walsh-Hadamard Codes

  • Djemamar, Younes;Ibnyaich, Saida;Zeroual, Abdelouhab
    • Journal of information and communication convergence engineering
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    • v.20 no.1
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    • pp.1-7
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    • 2022
  • Herein, a new space-time block coding technique is proposed for a MIMO 2 × 2 multiple-input multiple output (MIMO) system to minimize the bit error rate (BER) in Rayleigh fading channels with reduced decoding complexity using ZF and MMSE linear detection techniques. The main objective is to improve the service quality of wireless communication systems and optimize the number of antennas used in base stations and terminals. The idea is to exploit the correlation product technique between both information symbols to transmit per space-time block code and their own orthogonal Walsh-Hadamard sequences to ensure orthogonality between both symbol vectors and create a full-rate orthogonal STBC code. Using 16 quadrature amplitude modulation and the quasi-static Rayleigh channel model in the MATLAB environment, the simulation results show that the proposed space-time block code performs better than the Alamouti code in terms of BER performance in the 2 × 2 MIMO system for both cases of linear decoding ZF and MMSE.

Rayleigh wave at imperfectly corrugated interface in FGPM structure

  • K. Hemalatha;S. Kumar;A. Akshaya
    • Coupled systems mechanics
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    • v.12 no.4
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    • pp.337-364
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    • 2023
  • The Rayleigh wave propagation is considered in the structure of the functionally graded piezoelectric material (FGPM) layer over the elastic substrate. The elastic substrate loosely bonds the layer through a corrugated interface, whereas its upper boundary is also corrugated but stress-free. Additionally, the solutions for the FGPM layer and substrate are derived using the fundamental variable separable approach to convert the partial differential equation to an ordinary differential equation. The results with boundary conditions lead to dispersion relations for the electrically open and electrically short cases in the determinant form. The outcomes have been numerically analyzed using a specific model. The findings were presented in the form of graphs, which were created using Mathematica 7. Graphs are plotted for variations in wavenumber and phase velocity. The outcomes may help measure interface defects and design Surface Acoustic Wave (SAW) devices.

Green's function coupled with perturbation approach to dynamic analysis of inhomogeneous beams with eigenfrequency and rotational effect's investigations

  • Hamza Hameed;Sadia Munir;F.D. Zaman
    • Structural Monitoring and Maintenance
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    • v.11 no.1
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    • pp.19-40
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    • 2024
  • The elastic theory of beams is fundamental in engineering of design and structure. In this study, we construct Green's function for inhomogeneous fourth-order differential operators subjected to associated constraints that arises in dealing with dynamic problems in the Rayleigh beam. We obtain solutions for homogeneous and completely inhomogeneous beam problems using Green's function. This enables us to consider rotational influences in determining the eigenfrequency of beam vibrations. Additionally, we investigate the dynamic vibration model of inhomogeneous beams incorporating rotational effects. The eigenvalues of Rayleigh beams, including first-order correction terms, are also computed and displayed in tabular forms.

Numerical Study Of H2O-Cu Nanofluid Using Lattice-Boltzmann Method

  • Taher, M.A.;Li, Kui-Ming;Lee, Yeon-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.1
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    • pp.53-61
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    • 2010
  • In the present study, a laminar natural convection flow of $H_2O$-Cu nanofluid in a two dimensional enclosure has been investigated using a thermal lattice Boltzmann approach with the Bhatnagar-Gross-Krook (BGK) model. The effect of suspended nanoparticles on the fluid flow and heat transfer process have been studied for different controlling parameters such as particle volume fraction ($\Phi$), Rayleigh number (Ra). For this investigation the Rayleigh number changes from 104 to 106 and volume fraction varied from 0 to 10% with three different particle diameters (dp), say 10 nm, 20 nm and 40 nm. It is shown that increasing the Rayleigh number (Ra) and the volume fraction of nanofluid causes an increase of the effective heat transfer rate in terms of average Nusselt number (Nu) as well as the thermal conductivity of nanofluid. On the other hand, increasing the particle diameter causes the decrease of the heat transfer rate and thermal conductivity. The result of the analysis are compared with experimental and numerical data both for pure and nanofluids and it is seen a relatively good agreement.

Determination of Shear Wave Velocity Profiles of Natural Soils and Pavement Systems Using Surface Wave Technique (표면파 기법을 이용한 자연지반 및 포장지반의 전단파 속도 분포 추정에 관한 연구)

  • Woo, Je Yoon;Kim, Soo Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.4
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    • pp.49-57
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    • 1988
  • A new analytical inversion technique is developed to determine the shear wave velocity profiles of natural soils and pavement systems from the dispersion curves of Rayleigh waves. Haskell's theory on the dispersion of the surface waves in multi-layered elastic solids is utilized. A frequency-unlimited dispersion equation is developed by use of the delta matrix technique. Rigid halfspace is assumed at the depth of the one wavelength of Rayleigh waves. Computer program is coded and validity of the technique is verified through the numerical model tests.

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NUMERICAL STUDY ON NATURAL CONVECTION HEAT TRANSFER IN A NANOFLUID FILLED CONCENTRIC ANNULUS (동심이중관내 나노유체의 자연대류열전달에 관한 수치적 연구)

  • Choi, H.K.;Park, J.H.;Yoo, G.J.
    • Journal of computational fluids engineering
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    • v.21 no.3
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    • pp.1-7
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    • 2016
  • In the present study, the homogeneous model is used to simulate the natural convection heat transfer of the CuO-water nanofluid in a concentric annular enclosure. Simulations have been carried while the Rayleigh number ranges from $10^3$ to $10^6$, solid volume fraction ranges from 0.01 to 0.04 and the radius ratio varies between 0.1 and 0.7. Results are presented in the form of streamlines, isotherm patterns and averaged Nusselt numbers for different values of solid volume fraction, radius ratio of the annulus and Rayleigh numbers. The results show that by decreasing the radius ratio and/or increasing the Rayleigh number, the averaged Nusselt number increases. Also the heat transfer rate increases as increased solid volume fractions.

Linear Stability of Compositional Convection in a Mushy Layer during Solidification of Ammonium Chloride Solution (염화암모늄 수용액 응고시에 Mush 층에서 성분적 대류의 선형안정성)

  • Hwang, In Gook
    • Korean Chemical Engineering Research
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    • v.50 no.1
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    • pp.61-65
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    • 2012
  • The onset of convection in a mushy layer is analyzed by using linear stability theory in time-dependent solidification of a binary melt. A simplified model of a near-eutectic mush, in which the mush is assumed to be a porous block, is used and the propagation theory is applied to determine the critical conditions for the onset of convection. The present critical Rayleigh number is higher than the existing experimental result and also theoretical results obtained by considering the mushy layer with an overlying liquid layer. The constant pressure (permeable) condition applied on the mush-liquid interface produces a lower critical Rayleigh number, which is closer to the experimental results of aqueous ammonium chloride solution, compared with the impermeable condition.