• Title/Summary/Keyword: Wave number

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On the Origin of Oscillatory Instabilities in Diffusion Flames (확산화염의 진동불안성의 기원에 대해서)

  • Kim, Jong-Soo
    • Journal of the Korean Society of Combustion
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    • v.10 no.3
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    • pp.25-33
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    • 2005
  • Fast-time instability is investigated for diffusion flames with Lewis numbers greater than unity by employing the numerical technique called the Evans function method. Since the time and length scales are those of the inner reactive-diffusive layer, the problem is equivalent to the instability problem for the $Li\tilde{n}\acute{a}n#s$ diffusion flame regime. The instability is primarily oscillatory, as seen from complex solution branches and can emerge prior to reaching the upper turning point of the S-curve, known as the $Li\tilde{n}\acute{a}n#s$ extinction condition. Depending on the Lewis number, the instability characteristics is found to be somewhat different. Below the critical Lewis number, $L_C$, the instability possesses primarily a pulsating nature in that the two real solution branches, existing for small wave numbers, merges at a finite wave number, at which a pair of complex conjugate solution branches bifurcate. For Lewis numbers greater than $L_C$, the solution branch for small reactant leakage is found to be purely complex with the maximum growth rate found at a finite wave number, thereby exhibiting a traveling nature. As the reactant leakage parameter is further increased, the instability characteristics turns into a pulsating type, similar to that for L < $L_C$.

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Airside Performance of Convex Louver Fin-and-Tube Heat Exchangers

  • Kim, Nae-Hyun;Oh, Wang-Kyu
    • International Journal of Air-Conditioning and Refrigeration
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    • v.16 no.3
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    • pp.100-107
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    • 2008
  • The heat transfer and friction characteristics of heat exchangers having convex louver fins are experimentally investigated, and the results are compared with those of wave fin counterparts. Eighteen samples (nine convex louver fin samples and nine wave fin samples) which had different fm pitches (1.81 mm to 2.54 mm) and tube rows (one to four) were tested. The convex angle was $11.7^{\circ}$. The j factors are insensitive to fin pitch, while f factors increase as fin pitch increases. The effect of fin pitch on f factor is more significant for the wave fin compared with the convex louver fin. It appears that the complex fin pattern of the convex louver fin induces intense mixing of the flow, and thus reduces the effect of fin pitch. Both the j and f factors decrease as the number of tube row increases. However, as the Reynolds number increases, the effect of tube row diminishes. Comparison of the convex louver fin j factors with those of wave fin reveals that convex louver fin j factors are 18% to 29% higher than those of wave fin. The f factors are 16% to 34% higher for the convex louver fin. The difference increases as fin pitch decreases. Existing correlation fails to adequately predict the present data. More data is needed for a general correlation of the convex louver fin geometry.

THE EFFECT OF DUST PARTICLES ON ION ACOUSTIC SOLITARY WAVES IN A DUSTY PLASMA

  • Choi, Cheong-Rim;Lee, Dae-Young;Kim, Yong-Gi
    • Journal of Astronomy and Space Sciences
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    • v.21 no.3
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    • pp.201-208
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    • 2004
  • In this paper we have examined the effect of dust charge density on nonlinear ion acoustic solitary wave which propagates obliquely with respect to the external magnetic field in a dusty plasma. For the dusty charge density below a critical value, the Sagdeev potential $\Psi1(n)$ has a singular point in the region n < 1, where n is the ion number density divided by its equilibrium number density. If there exists a dust charge density over the critical value, the Sagdeev potential becomes a finite function in the region n < 1, which means that there may exist the rarefactive ion acoustic solitary wave. By expanding the Sagdeev potential in the small amplitude limit up to on4 near n=1, we find the solution of ion acoustic solitary wave. Therefore we suggest that the dust charge density plays an important role in generating the rarefactive solitary wave.

Study of the Impulse Wave Impinging upon an Inclined Flat Plate (경사판에 충돌하는 펄스파에 관한 연구)

  • Kweon, Y.H.;Lee, D.H.;Kim, H.D.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.438-443
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    • 2001
  • Plate impingement of the impulse wave discharged from the open end of a duct is numerically investigated using a CFD method. Harten-Yee Total Variation Diminishing method is used to solve the unsteady, compressible flow governing equations. The Mach number, the flat plate inclination and the distance between the duct exit and inclined flat plate are changed to investigate their effects on the impinging flow field. The impulse wave impingement on the inclined flat plate depends on Mach number $M_s$ and the plate inclination $\psi$. The pressure distributions on the inclined flat plate show that for a small r/D, the peak pressure at the center of an inclined flat plate decreases with an increase in the plate inclination $\psi$ in the range of $\psi$ from $45^{\circ}$ to $60^{\circ}$ but for a large r/D, the peak pressure decreases with an increase in $\psi$ in the range of $\psi$ from $75^{\circ}$ to $90^{\circ}$. It is also found that for all of r/D, the peak pressure at the center of an inclined flat plate has a maximum value in $\psi=90^{\circ}$.

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A passive control on shock oscillations in a supersonic diffuser (초음속 디퓨져에서 발생하는 충격파 진도의 피동제어)

  • Kim, Heuy-Dong;Matsuo, Kazuyasu
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.3
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    • pp.1083-1095
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    • 1996
  • Shock wave/boundary layer interaction frequently causes the shock wave to oscillate violently and thus the global flow field to unstabilize. In order to stabilize the shock wave system in the diffuser of a supersonic wind tunnel, the present study attempted to control the shock oscillations by using a passive control. A porous wall with the porosity of 19.6% was mounted on a shallow cavity. Experiment was made by means of schlieren optical observation and wall pressure measurements. The flow Mach number just upstream the shock system and Reynolds number based on the turbulent boundary layer thickness were 2.1 and 1.8 * 10$\^$6/, respectively. The results show that the present passive control method on the shock wave/boundary layer interaction in the supersonic diffuser can significantly suppress the oscillations of shock system, especially when the shock system locates at the porous wall.

Shock-Wave Oscillation in a Supersonic Diffuser -Displacement Measurement of Mormal Shock-Wave- (초음속 디퓨져에서 충격파의 진동 (1) -수직충격파의 순간변위 측정-)

  • 김희동;엄용균;권순범
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.933-945
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    • 1994
  • A shock-wave in a supersonic flow can be theoretically determined by a given pressure ratio at upstream and downstream flowfields, and then the obtained shock-wave is stable in its position. Under the practical situation in which the shock-wave interacts with the boundary layer along a solid wall, it cannot, however, be stable even for the given pressure ratio being independent of time and oscillates around a time-mean position. In the present study, oscillations of a weak normal shock-wave in a supersonic diffuser were measured by a Line Image Sensor(LIS), and they were compared with the data of the wall pressure fluctuations at the foot of the shock-wave interacting with the wall boundary layer. LIS was incorporated into a conventional schlieren optical system and its signal, instantaneous displacement of the interacting shock-wave, was analyzed by a statistical method. The results show that the displacement of an oscillating shock-wave increase with the upstream Mach number and the dominant frequency components of the oscillating shock-wave are below 200 Hz. Measurements indicated that shock-wave oscillations may not entirely be caused by the boundary layer separation. The statistical properties of oscillations appeared, however, to be significantly affected by shock-induced separation of turbulent boundary layer.

Study of Shock Tube for Wave Phenomenon in High Speed Railway Tunnel(1) - On the characteristics of Compression Wave - (고속철도 터널에서 발생하는 파동현상에 관한 충격파관의 연구(1) - 압축파의 특성에 대하여 -)

  • ;松尾一泰
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2686-2697
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    • 1994
  • When a railway train enters a tunnel at high speed, a compression wave is formed in front of the train and propagates along the tunnel. The compression wave subsequently emerges from the exit of the tunnel, which causes an impulsive noise. In order to estimate the magnitudes of the noises and to effectively minimize them, the characteristics of the compression wave propagating in a tunnel must be understood. In the present paper, the experimental and analytical investigations on the attenuation and distortion of the propagating compression waves were carried out using a model tunnel. This facility is a kind of open-ended shock tube with a fast-opening gate valve instead of a general diaphragm. One-dimensional flow model employed in the present study could appropriately predict the strength of the compression wave, Mach number and flow velocity induced by the compression wave. The experimental results show that the strength of a compression wave decreases with the distance from the tunnel entrance. The decreasing rate of the wave strength and pressure gradient in the wave is strongly dependent on the strength of the initial compression wave at the tunnel entrance.

On exact wave propagation analysis of triclinic material using three-dimensional bi-Helmholtz gradient plate model

  • Karami, Behrouz;Janghorban, Maziar;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.69 no.5
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    • pp.487-497
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    • 2019
  • Rapid advances in the engineering applications can bring further areas to provide the opportunity to manipulate anisotropic structures for direct productivity in design of micro/nano-structures. For the first time, magnetic affected wave characteristics of nanosize plates made of anisotropic material is investigated via the three-dimensional bi-Helmholtz nonlocal strain gradient theory. Three small scale parameters are used to predict the size-dependent behavior of the nanoplates more accurately. After owing governing equations of wave motion, an analytical approach based harmonic series is utilized to fine the wave frequency as well as phase velocity. It is observed that the small scale parameters, magnetic field and wave number have considerable influence on the wave characteristics of anisotropic nanoplates. Due to the lack of any study on the mechanics of three-dimensional bi-Helmholtz gradient plates made of anisotropic materials, it is hoped that the present exact model may be used as a benchmark for future works of such nanostructures.

Experimental studies of impact pressure on a vertical cylinder subjected to depth induced wave breaking

  • Vipin, Chakkurunnipalliyalil;Panneer Selvam, Rajamanickam;Sannasiraj Annamalaisamy, Sannasiraj
    • Ocean Systems Engineering
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    • v.12 no.4
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    • pp.439-459
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    • 2022
  • This paper describes experimental studies of impact pressure generated by breaking regular waves in shallow water on a vertical cylinder. Experimental work was carried out in a shallow water flume using a 1:30 - scale model of a vertical rigid circular hollow cylinder with a diameter 0.2 m. This represents a monopile for shallow water offshore wind turbines, subjected to depth induced breaking regular waves of frequencies of 0.8 Hz. The experimental setup included a 1 in 10 sloping bed followed by horizontal bed with a constant 0.8 m water depth. To determine the breaking characteristics, plunging breaking waves were generated. Free surface elevations were recorded at different locations between the wave paddle to the cylinder. Wave impact pressures on the cylinder at a number of elevations along its height were measured under breaking regular waves. The depth-induced wave breaking characteristics, impact pressures, and wave run-up during impact for various cylinder locations are presented and discussed.

Parameters Analysis for Influence on the Local Scour around a Pipeline Exposed Waves and Currents (파와 흐름에 노출된 관로 주변부 국부세굴에 영향을 미치는 매개변수)

  • Kim, Kyoung-Ho;Oh, Hyoun-Sik;Kim, Heung-Guk;Son, Kwang-Sik
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.2
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    • pp.128-137
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    • 2012
  • This paper deals with the local scour around a pipeline exposed to combined waves and current in the shallow water zone. To investigate the characteristics of the scour around a pipeline on the sea bed, experiments were performed according to the various pipe diameters, wave periods, wave heights, and current velocities. Wave generator and current generator were used for the experiments. Two current directions were used ; co-direction and counter direction to the waves. With the experimental results, the correlations between the scour depths and non-dimensional parameters such as Keulegan-Carpenter number(KC), Froude number(Fr), Ursell number(Ur) and velocity ratio were analysed. The relative scour depths were found obviously to be dominated by the wave component when the velocity ratio function approaches zero and those are gorverned by the current component when the velocity ratio approaches unity. Velocity ratio function was approved to be a proper parameter which is able to express the change of the scour in the combined wave and current zone. Also considering the orbital velocity and the current velocity into Fr numer and KC number respectively, scour depths show more favorable correlationship with the parameters.