• Title/Summary/Keyword: Entropy Discontinuity

Search Result 5, Processing Time 0.019 seconds

Issues and Solutions for the Numerical Analysis of High Mach Number Flow over a Blunt-Body (무딘 물체 주위 고마하수 유동해석의 문제점과 해결책)

  • 원수희;정인석;최정열;신재렬
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.34 no.6
    • /
    • pp.18-28
    • /
    • 2006
  • Numerical analysis of high Mach number flow over a blunt-body poses many difficulties and various numerical schemes have been suggested to overcome the problems. However, the new schemes were used in the limited fields of applications because of the lack of field experience compared to more than 20 years old numerical schemes and the intricacies of modifying the existing code for the special application. In this study, some tips to overcome the numerical difficulties in solving the 3D high-Mach number flows by using Roe's scheme, the most widely used for the past 25 years and adopted in many commercial codes, were examined without a correction of the algorithm or a modification of the CFD code. The well-known carbuncle phenomena of Riemann solvers could be remedied even for an extremely high Mach number by applying the entropy fixing function and a unphysical solution could be overcome by applying a simply modified initial condition regardless of the entropy fixing and grid configuration.

The Effects of Intake Pulsating Flow on Volumetric Efficiency in a Diesel Engine (디젤기관의 흡기 맥동류가 체적효율에 미치는 영향)

  • Kang, H.Y.;Koh, D.K.;Ahn, S.K.
    • Journal of Power System Engineering
    • /
    • v.9 no.2
    • /
    • pp.19-25
    • /
    • 2005
  • Empirical experiments have been undertaken to investigate the effects of Intake Pulsating Flow on volumetric efficiency in a diesel engine. Waves occurs in the manifolds of engine owing to the periodic nature of the induction and exhaust processes caused by piston motion. During induction process, as waves travel both directions, they are reflected and interacted each other and pressure waves are transmitted through it. Hence, the flow become more complex and unsteady flow. These pressure waves act upon intake pulsating flow and affects on volumetric efficiency. In this paper the effects of change in length of induction pipes and wide range of engine speed on volumetric efficiency was examined and evaluated. It was found that volumetric efficiency was affected by intake pulsating flow with engine speed and the pipe length. The results obtained were considered by adopting a theory of wave action.

  • PDF

The Effects of Pulsating Flow on Volumetric Efficiency in the Intake and Exhaust System in a Turbocharged Diesel Engine (흡.배기 시스템의 맥동류가 과급디젤기관의 체적효율에 미치는 영향)

  • Kim, K.H.;Kang, H.Y.;Koh, D.K.
    • Journal of Power System Engineering
    • /
    • v.13 no.4
    • /
    • pp.11-17
    • /
    • 2009
  • This paper deals with the effects of pulsating flow on volumetric efficiency, which may be generated during the gas exchange procedure, due to piston motion, valve event on intake and exhaust stroke and unsteady flow of turbocharger of a three-cylinder four stroke turbo-charged diesel engine. Consequently, volumetric efficiency affects significantly the engine performance; torque characteristics, fuel economy and further to emission and noise level. As the expansion ratio became larger the engine speed varies and torque increases, the pressure pulsation in an exhaust gas pipe acts as an increasing factor of intake air charging capacity totally. The phase and amplitude of pressure pulsation in the intake system only affects volumetric efficiency favorably, if it is well matched and tuned effectively to the engine. Thus, to verify the exact phase and amplitude of the pressure variation is the ultimate solution for the air-flow ratio assessment in the intake stroke. Some experimental results of pressure diagrams in the intake pipe and gas-flow of turbine in-outlet are presented, under various kinds of operating condition.

  • PDF

Some Modifications of MacCormark's Methods (MacCormack 방법의 개량에 대한 연구)

  • Ha, Young-Soo;Yoo, Seung-Jae
    • Convergence Security Journal
    • /
    • v.5 no.3
    • /
    • pp.93-97
    • /
    • 2005
  • MacCormack's method is an explicit, second order finite difference scheme that is widely used in the solution of hyperbolic partial differential equations. Apparently, however, it has shown entropy violations under small discontinuity. This non-physical shock grows fast and eventually all the meaningful information of the solution disappears. Some modifications of MacCormack's methods follow ideas of central schemes with an advantage of second order accuracy for space and conserve the high order accuracy for time step also. Numerical results are shown to perform well for the one-dimensional Burgers' equation and Euler equations gas dynamic.

  • PDF

Acustic Study on the Kinetics for the Dissociation-Recombination Reaction between Micelle and Counter-ion in Dodecyl Pyridinium Bromide Solution (Dodecyl Pyridinium Bromide 水溶液中의 Micelle과 Counter-Ion 間의 解離-再結合反應에 對한 超音波에 依한 反應速度論的 硏究)

  • Lee Kun Moo
    • Journal of the Korean Chemical Society
    • /
    • v.17 no.2
    • /
    • pp.73-79
    • /
    • 1973
  • The ultrasonic absorption of Dodecyl pyridinium bromide (D.P.B.) in aqueous solution has been measured at $20^{\circ}C$ over a range of frequencies between 0.1 mc and 90 mc and a range of concentrations from 5 to 100 mM. The excess absorption was observed only in the solutions the concentration of which was higher than the critical micellar concentration (c.m.c.) both in the presence and absence of salt. The excess absorption of sound and the relaxation frequencies obtained from the absorption curves show a discontinuity with the variation of the concentration of D.P.B. in the neighborhood of 60 mM. Other properties such as viscosity, conductivity and velocity of sound also exhibit such a change near the same concentration. It is concluded that a change in the properties of the micelles of D.P.B. occurs in the neighborhood of this concentration. The mechanism of the observed ultrasonic excess absorption in attributed to the reaction $M_2{\rightleftarrow}M_1+2Br^-$where$M_2$ and$M_1$are two types of micelles. The rate constants of forward and backward reactions are found to be $6.9 {\times} 10^5 sec^{-1)$and $6.7{\times}10^{10}sec^{-1}mole{-2}$ respectively. Some kinetic characteristics including free energy, enthalpy, entropy and activation energy were calculated.

  • PDF