Analysis of Nonsteady Two-Phase Flow

Rudinger, George; Chang, A. Ann

doi:10.1063/1.2746772

Cited by 94 publications

(33 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By prescribing the shock trajectory in addition to the incident-flow nonuniformity, the nonideal effects due to both friction and diaphragm breakage are accounted for. The resulting effects on the conditions in the reflected-shock region at the measurement location are calculated using the techniques laid out in Rudinger [47]. The basic theory and model development are as follows.…”

Section: Theorymentioning

confidence: 99%

See 1 more Smart Citation

Nonideal effects behind reflected shock waves in a high-pressure shock tube

2001

View full text Add to dashboard Cite

044REPORT Public reporting burden for this collection ot information is estimated to average 1 hour per response, including the time for review ng instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection information. Send comment regarding this burden estimates or any aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for information Operations and reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and Shock tubes often experience temperature and pressure nonuniformities behind the reflected shock wave that cannot be neglected in chemical kinetics experiments. Because of increased viscous effects, smaller tube diameters, and nonideal shock formation, the reflected-shock nonidealities tend to be greater in higher-pressure shock tubes. Since the increase in test temperature (AT 5 ) is the most significant parameter for chemical kinetics, experiments were performed in the Stanford High Pressure Shock Tube using infrared emission from a known amount of CO in Argon. From the measured change in vibrationally equilibrated CO emission with time, the corresponding dT 5 /dt (or AT5 for a known time interval) of the mixture was inferred assuming an isentropic relationship between post-shock temperature and pressure changes. For a range of representative conditions in Argon (20-530 Atm, 1240-1900, the test temperature 2 cm from the endwall increased 3-8 K after 100 )J,s and 15-40 K after 500 u,s, depending on the initial conditions. Separate pressure measurements using a shielded piezoelectric transducer confirmed the isentropic assumption. An analytical model of the reflected-shock gas dynamics was also developed. The measured incident-shock axial velocity profile and a model of the boundary layer growth provide the upstream boundary conditions needed to define the properties behind the moving reflected shock. The calculated AT 5 's agree well with those obtained from experiment. The analytical model was used to estimate the effects of temperature and pressure nonuniformities on typical chemical kinetics measurements. When the kinetics are fast and occur in less than 300 |is, the temperature increase is typically negligible, although some correction is suggested for kinetics experiments lasting longer than 500 (xs. The temperature increase, however, has a negligible impact on the measured absorption profiles of OH and CH 3 when using laser absorption diagnostics at 306 and 216 nm, respectively, validating the use of a constant absorption coefficient. Infrared emission experiments are more sensitive to temperature and pressure changes, so T 5 nonuniformities should be taken into account when interpreting IR-emission data. NONIDEAL EFFECTS BEHIND REFLECTED SHOCK WAVES IN A HIGH-PRESSURE SHOCK TUBEEric L. Petersen f and Ronald K. Hanson AbstractShock tubes often experience temperature and pressure nonuniformities behind the reflecte...

show abstract

Section: Theorymentioning

confidence: 99%

“…Lines CA and FD are defined as P-waves, and line DA represents a Q-wave. As discussed in Rudinger [47], it is convenient to define the Riemann variables for the P and Q waves as…”

Section: Theorymentioning

confidence: 99%

Nonideal effects behind reflected shock waves in a high-pressure shock tube

2001

View full text Add to dashboard Cite

show abstract

“…These expressions for C D and Nu were also employed in Rudinger and Chang (1964), Miura & Glass (1985), Igra, Elperin and Ben-Dor (1987) and many others. Use of similar correlations for C D and Nu in gasdynamic conservation laws schemes has also been validated by comparison to experiments, e.g., Aizik et al (1995).…”

Section: Model Formulationmentioning

confidence: 99%

Shock wave diffraction by a square cavity filled with dusty gas

C(王春)

et al. 2001

Shock Waves

View full text Add to dashboard Cite

Abstract.A simple two-dimensional square cavity model is used to study shock attenuating effects of dust suspension in air. The GRP scheme for compressible flows was extended to simulate the fluid dynamics of dilute dust suspensions, employing the conventional two-phase approximation. A planar shock of constant intensity propagated in pure air over flat ground and diffracted into a square cavity filled with a dusty quiescent suspension. Shock intensities were Ms = 1.30 and Ms = 2.032, dust loading ratios were α = 1 and α = 5, and particle diameters were d = 1, 10 and 50 µm. It was found that the diffraction patterns in the cavity were decisively attenuated by the dust suspension, particularly for the higher loading ratio. The particle size has a pronounced effect on the flow and wave pattern developed inside the cavity. Wall pressure histories were recorded for each of the three cavity walls, showing a clear attenuating effect of the dust suspension.

show abstract

“…The characteristics method of Hartree was applied, since it is difficult to get a similarity solution. Rudinger and Chang [3] have already investigated the nonsteady two-phase flow in a shock tube by applying the standard method of characteristics. They suggested that the partial pressure of the particles should be neglected in order to get compatibility equations free from partial derivatives when utilizing the characteristics method.…”

Section: Introductionmentioning

confidence: 99%

Characteristic Method Applied to Blast Waves in a Dusty Gas

Higashino

1983

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

The unsteady propagation of shock waves in a dusty gas is investigated theoretically. The characteristic equations are obtained without neglecting the effect of the partial pressure of the particles. Numerical computations were carried out by Hartree's technique. As examples, the flow in a shock tube and in a blast wave is examined by applying a generalized piston problem. The results show that the existence of suspended particles may cause a rapid decay of the shock strength and that the flow field is devided into several regimes which are characterized by the shock position and the relaxation times.

show abstract

Analysis of Nonsteady Two-Phase Flow

Cited by 94 publications

References 9 publications

Nonideal effects behind reflected shock waves in a high-pressure shock tube

Nonideal effects behind reflected shock waves in a high-pressure shock tube

Shock wave diffraction by a square cavity filled with dusty gas

Characteristic Method Applied to Blast Waves in a Dusty Gas

Contact Info

Product

Resources

About