• Title/Summary/Keyword: $Theta^*$

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Numerical Analysis of a Weak Shock Wave Propagating in a Medium Using Lattice Boltzmann Method (LBM)

  • Kang, Ho-Keun;Michihisa Tsutahara;Ro, Ki-Deok;Lee, Young-Ho
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.2034-2041
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    • 2003
  • This study introduced a lattice Boltzmann computational scheme capable of modeling thermo hydrodynamic flows with simpler equilibrium particle distribution function compared with other models. The equilibrium particle distribution function is the local Maxwelian equilibrium function in this model, with all the constants uniquely determined. The characteristics of the proposed model is verified by calculation of the sound speeds, and the shock tube problem. In the lattice Boltzmann method, a thermal fluid or compressible fluid model simulates the reflection of a weak shock wave colliding with a sharp wedge having various angles $\theta$$\sub$w/. Theoretical results using LBM are satisfactory compared with the experimental result or the TVD.

Study on the Heat Transfer into by Space by the Aspect Ratio of Solar Concentration Absorber. (태양열 집광 흡수기내의 종횡비가 공간내의 열전달에 미치는 영향)

  • Lee, Y.H.;Lee, J.S.;Bae, K.Y.;Jeong, H.M.;Chung, H.S.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.199-204
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    • 2001
  • This paper showed the study on the heat transfer into space by the aspect ratio of solar concentration absorber, and the purpose of this study is to obtain the optimum aspect ratio and tilt angle. The boundary conditions of a numerical model were assumed as follows : (1) The heat source is located at the center of absorber. (2) The bottom was is opened and adiabatic. (3) The top, right and left walls are cooled wall. The parameters for the study are the tilt angles and the aspect ratio. The velocity vectors and isotherms were dense at wall side and the heat source. The mean Nusselt number had a maximum value at Ar=1:1 and $\theta=0^{\circ}$ and showed a low value as the tilt angles were increased.

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Effects of Vortex Viscosity Variation on the Flowfields in a Micro-slot between Rotating Surfaces of Revolution (와점성 변화가 회전곡면으로 이루어진 마이크로 슬롯 유동장에 미치는 영향)

  • Choi, G.W.;Kim, Youn-J.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.591-596
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    • 2001
  • Micron-size mechanical devices are becoming more prevalent, both in commercial applications and in scientific inquiry. Within the last decade, a dramatic increase in research activities has taken place, mostly due to the rapidly expanding growth of applications in areas of MEMS(Micro-Electro-Mechanical Systems), bioengineering, chemical systems, and advanced energy systems. In this study, we have described the effects of vortex viscosity variation on the flowfields in a micro-slot between rotating surfaces of revolution using a micropolar fluid theory. In order to solve this problem, we have used boundary layer equations and applied non-zero values of the microrotation vector on the wall. The results are compared with the corresponding flow problems for Newtonian fluid. Results show that the coefficient $\delta$ controls the main part of velocity ${\upsilon}_x$ and the coefficient M controls the main part of microrotation component ${\Omega}_{\theta}$.

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Tool Locus Analysis of Ultra-precision Inclined Grinding (초정밀 경사축 연삭가공에서의 공구 궤적 해석)

  • Hwang, Yeon;Park, Soon-Sub;Lee, Ki-Yong;Won, Jong-Ho;Kim, Hyun-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.11
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    • pp.35-40
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    • 2009
  • This paper presents the geometrical analysis of an inclined ultra-precision grinding technology using simulations about grinding point locus for micro lens manufacturing. Simulation results show the relationship between radius ratios ($R_1/R_2$) and wheel center locus. Furthermore, the critical grinding wheel radius ($R_1$) can be calculated from work-piece radius ($R_2$) and inclined angle ($\theta=-45^{\circ}$). These achievements could be applied to calculate CNC data in ultra-precision grinding and give insight for wheel wear and compensation grinding.

THERMAL EFFECTS ON THE STRAIN ENERGY RELEASE RATE FOR EDGE DELAMINATION IN CRACKED LAMINATED COMPOSITES

  • Soutis, C.;Kashtalyan, M.
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2001.04a
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    • pp.1-6
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    • 2001
  • In this paper, edge delaminations in cracked composite plates are analytically investigated. A theoretical model based upon a sub-laminate approach is used to determine the strain energy release rate, $G^{ed}$, in [$\pm$$\theta_m$/$90_n$]$_s$ carbon/epoxy laminates loaded in tension. The analysis provides closed-form expressions for the reduced stiffness due to edge delamination and matrix cracking and the total energy release rate. The parameters controlling the laminate behaviour are identified. It is shown that the available energy for edge delamination is increased notably due to transverse ply cracking. Also thermal stresses increase substantially the strain energy release rate and this effect is magnified by the presence of matrix cracking. Prediction for the edge delamination onset strain is presented and compared with experimental data. The analysis could be applied to ceramic matrix composite laminates where similar mechanisms develop, but further experimental evidence is required.

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Drag reduction of a circular cylinder at subcritical flow regime using base shield plates

  • El-Khairy, Nabil A.H.
    • Wind and Structures
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    • v.6 no.5
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    • pp.347-356
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    • 2003
  • Experimental studies on drag reduction of a circular cylinder of diameter D were conducted in the subcritical flow regime at Reynolds numbers in the range $4{\times}10^4{\leq}Re{\leq}10^5$. To shield the cylinder rear surface from the pressure deficit of the unsteady vortex generation in the near wake, two shield plates were attached downstream of the separation points to form a cavity at the base region. The chord of the shield plates, L, ranged from 0.22 to 1.52 D and the cavity width, G, was in the range from 0 to 0.96 D. It is concluded that significant drag reductions from that of a plain cylinder may be achieved by proper sizing of the shield plates and the base cavity. The study shows that using a pair of shield plates at G/D of 0.86 and angular position ${\theta}$ of ${\pm}121^{\circ}$ results in a configuration with percentage drag reduction of 40% for L/D of 0.5, and 55% for L/D of 1.0.

Calculation of the Force Constants of Heteronuclear Diatomic Molecules by Use One Center Function. Ⅱ. Cubic Force Constants (일점전개함수에 의한 Heteronuclear Diatomic Molecules의 Force Constants의 계산 II. Cubic Force Constants)

  • Kim Hojing;Kim Hie-Joon
    • Journal of the Korean Chemical Society
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    • v.16 no.5
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    • pp.261-264
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    • 1972
  • The cubic force constants of the binary hydrides, LiH, BeH, BH, CH, NH and OH are evaluated by use of the one center function of Bishop et. al. The results are reasonably good. The master formula suggested in the previous report of the present author is found relatively insensitive to the crudities of the wave function.

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Calculation of the Force Constants of Heteronuclear Diatomic Molecules by Use of One Center Function. Ⅰ. Quadratic Force Constants (일점전개함수에 의한 Heteronuclear Diatomic Molecules의 Force Constants의 계산. Ⅰ. Quadratic Force Constants)

  • Kim Hojing;Kim Hie-Joon
    • Journal of the Korean Chemical Society
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    • v.16 no.4
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    • pp.214-218
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    • 1972
  • The quadratic force constants of heteronuclear diatomic molecules, LiH, BeH, BH, CH, NH and OH are evaluated by use of the one center function of Bishop et. al. The master formula on which the computation is based was suggested by the previous work of one of the present authors. The results are in good agreement with the experimental values. It is found that around the nucleus of the atom located in the close vicinity of the expansion center of the one center function, the electronic distribution is relatively unrealistic, and the suggested formula would lead an erroneous result when one takes the origin of variables of $P_2(cos{\theta})/r_3$ at the atomic nucleus.

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Application of a New Method to Reproduce the Enthalpies of Transfer of NaI from Water to Aqueous Methanol, Ethanol and iPrOH Solvent Systems at 298 K

  • Rezaej Behbehani, G.
    • Bulletin of the Korean Chemical Society
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    • v.26 no.2
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    • pp.238-240
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    • 2005
  • The enthalpies of transfer, ${\Delta}H_t{\Theta}$, of NaI from water to aqueous methanol, ethanol and isopropanol, iPrOH, systems are reported. These data have been analysed in terms of the new solvation theory. These data are considered in terms of the new developed solvation theory including variable ($\alpha$n + $\beta$N), the net effect of the solute on the solvent-solvent bonding, is positive if there is a net breaking or weakening of solvent-solvent bonds. The solvation parameters recovered from the analyses indicate that the net affect of NaI on solvent structure is a breaking of solvent-solvent bonds and that NaI is preferentially solvated by water in all aqueous alcohol systems considered. ($\alpha$n + $\beta$N) values increase with increasing in the size of the alcohol alkyl residue from methanol to iPrOH.

Numerical Parametric Study of Offshore K-Joint Structure (해양 K-Joint 구조의 수치해석 연구)

  • Park Kwan-Kyu;Im Sung-Woo;Jo Chul-Hee
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.603-611
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    • 2006
  • The fundamental joint configuration that is often applied in offshore structures is the K-joint. The paper describes a numerical parametric study for K-joint parameters (using the finite element program) and compared with results of the experimental test. The stress effects of various parameters including $\alpha,\;\beta,\;\gamma,\;\tau\;and\;\theta$ were investigated. The paper introduces the stress distributions as per each parameter. From the study, the maximum stress of joint became different according to the variation of joint parameters.

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