Formation and propagation of a shock wave in a gas with temperature gradients

Standard

Formation and propagation of a shock wave in a gas with temperature gradients. / Soukhomlinov, V. S.; Kolosov, V. Y.; Sheverev, V. A.; Ötügen, M. V.

In: Journal of Fluid Mechanics, No. 473, 25.12.2002, p. 245-264.

Research output: Contribution to journal › Article › peer-review

Author

Soukhomlinov, V. S. ; Kolosov, V. Y. ; Sheverev, V. A. ; Ötügen, M. V. / Formation and propagation of a shock wave in a gas with temperature gradients. In: Journal of Fluid Mechanics. 2002 ; No. 473. pp. 245-264.

BibTeX

@article{8a639500c0aa49d39232075c720deff7,

title = "Formation and propagation of a shock wave in a gas with temperature gradients",

abstract = "A theoretical analysis was carried out to study the formation and propagation of a weak shock wave in a gas with longitudinal temperature gradients. An equation describing the formation and propagation of a weak shock wave through a non-uniform medium in the absence of energy dissipation was derived. An approximate analytical solution to the one-dimensional wave propagation equation is established. With this, the thermal gradient effects on the shock-wave Mach number and speed were investigated and the results were compared to earlier experiments. Numerical solutions for the same problem using Euler's equations have also been obtained and compared to the analytical results. The analysis shows that the time of shock-wave formation from the initial disturbance, for mild temperature gradients, is independent of the gradient. The shock wave forms at a longer axial distance from the initial disturbance when the temperature gradient is positive whereas the opposite is true for a negative temperature gradient.",

author = "Soukhomlinov, {V. S.} and Kolosov, {V. Y.} and Sheverev, {V. A.} and {\"O}t{\"u}gen, {M. V.}",

year = "2002",

month = dec,

day = "25",

doi = "10.1017/S0022112002002380",

language = "English",

pages = "245--264",

journal = "Journal of Fluid Mechanics",

issn = "0022-1120",

publisher = "Cambridge University Press",

number = "473",

}

RIS

TY - JOUR

T1 - Formation and propagation of a shock wave in a gas with temperature gradients

AU - Soukhomlinov, V. S.

AU - Kolosov, V. Y.

AU - Sheverev, V. A.

AU - Ötügen, M. V.

PY - 2002/12/25

Y1 - 2002/12/25

N2 - A theoretical analysis was carried out to study the formation and propagation of a weak shock wave in a gas with longitudinal temperature gradients. An equation describing the formation and propagation of a weak shock wave through a non-uniform medium in the absence of energy dissipation was derived. An approximate analytical solution to the one-dimensional wave propagation equation is established. With this, the thermal gradient effects on the shock-wave Mach number and speed were investigated and the results were compared to earlier experiments. Numerical solutions for the same problem using Euler's equations have also been obtained and compared to the analytical results. The analysis shows that the time of shock-wave formation from the initial disturbance, for mild temperature gradients, is independent of the gradient. The shock wave forms at a longer axial distance from the initial disturbance when the temperature gradient is positive whereas the opposite is true for a negative temperature gradient.

AB - A theoretical analysis was carried out to study the formation and propagation of a weak shock wave in a gas with longitudinal temperature gradients. An equation describing the formation and propagation of a weak shock wave through a non-uniform medium in the absence of energy dissipation was derived. An approximate analytical solution to the one-dimensional wave propagation equation is established. With this, the thermal gradient effects on the shock-wave Mach number and speed were investigated and the results were compared to earlier experiments. Numerical solutions for the same problem using Euler's equations have also been obtained and compared to the analytical results. The analysis shows that the time of shock-wave formation from the initial disturbance, for mild temperature gradients, is independent of the gradient. The shock wave forms at a longer axial distance from the initial disturbance when the temperature gradient is positive whereas the opposite is true for a negative temperature gradient.

UR - http://www.scopus.com/inward/record.url?scp=0037176309&partnerID=8YFLogxK

U2 - 10.1017/S0022112002002380

DO - 10.1017/S0022112002002380

M3 - Article

AN - SCOPUS:0037176309

SP - 245

EP - 264

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

IS - 473

ER -

ID: 9653703