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Research Article
Imploding Detonation Waves in Self-gravitating Ideal Gas
Pushpender Kumar Gangwar1
Rajesh Kumar Verma2
1Department of Physics, Bareilly College, Bareilly, Uttar Pradesh, India. 2Department of Physics, K.S. Saket (P.G.) College, Ayodhya, Uttar Pradesh, India.
Published Online: January-February 2024
Pages: 45-49
Cite this article
↗ https://www.doi.org/10.59256/ijsreat.20240401008References
1. Welsh, R. L. Imploding shocks and detonations. J Fluid Mech 61 (1967).
2. Nigmatulin, R. I. Converging cylindrical and spherical detonation waves. Journal of Applied Mathematics and Mechanics 31, 171–177 (1967).
3. Teipel, I. Detonation waves in pipes with variable cross-section. Acta Mech 47, 185–191 (1983).
4. Vishwakarma, J. P., Nath, G. & Srivastava, R. K. Self-similar solution for cylindrical shock waves in a weakly conducting dusty gas. Ain Shams Engineering
Journal vol. 9, 1717–1730 (2018).
5. Verma, B. G. & Singh, J. B. Imploding detonation waves. Def Sci J 31, 1–6 (1981).
6. Verma, B. G. & Singh, J. B. Magnetogasdynamic converging spherical detonation waves. Astrophys Space Sci 72, 133–142 (1980).
7. Chester, W. The diffraction and reflection of shock waves. Quarterly Journal of Mechanics and Applied Mathematics 7, 57–82 (1954).
8. Chisnell, R. F. The normal motion of a shock wave through a non-uniform one-dimensional medium. Proc R Soc Lond A Math Phys Sci 232, 350–370
(1955).
9. Whitham, G. B. On the propagation of shock waves through regions of non-uniform area or flow. J Fluid Mech 4, 337–360 (1958).
10. Tyl, J. & Wlodarczyk, E. Thermodynamic characteristic of the detonation products of octogen. J. Tech. Phys 24, 139–146 (1983).
11. Gangwar, P. K. Behavior of dusty real gas on adiabatic propagation of cylindrical imploding strong shock waves. AIP Conf Proc 1953, 130024 (2018).
12. Gangwar, P. K. Entropy production on dusty shock propagation in presence of overtaking disturbances. AIP Conf Proc 2220, 120008 (2020).
13. Gangwar, P. K. Effect of solid dust particles on the motion of cylindrical strong imploding shock wave in self-gravitating real gas. 2451, 020077 (2022).
14. Yadav, R. P. Effect of overtaking disturbances on the propagation of strong cylindrical shock in a rotating gas. Modelling, Measurement and Control B 46,
1–11 (1992).
15. Li, H., Ben-Dor, G. & Grönig, H. Analytical study of the oblique reflection of detonation waves. AIAA Journal 35, 1712–1720 (1997).
16. Li, H. & Ben-Dor, G. A Modified CCW Theory for Detonation Waves. Combust Flame 113, 1–12 (1998).
17. Yadav, R. P. & Gangwar, P. K. Theoretical study of propagation of spherical converging shock waves in self- gravitating gas. Modelling, Measurement and
Control B 72, 39–54 (2003).
2. Nigmatulin, R. I. Converging cylindrical and spherical detonation waves. Journal of Applied Mathematics and Mechanics 31, 171–177 (1967).
3. Teipel, I. Detonation waves in pipes with variable cross-section. Acta Mech 47, 185–191 (1983).
4. Vishwakarma, J. P., Nath, G. & Srivastava, R. K. Self-similar solution for cylindrical shock waves in a weakly conducting dusty gas. Ain Shams Engineering
Journal vol. 9, 1717–1730 (2018).
5. Verma, B. G. & Singh, J. B. Imploding detonation waves. Def Sci J 31, 1–6 (1981).
6. Verma, B. G. & Singh, J. B. Magnetogasdynamic converging spherical detonation waves. Astrophys Space Sci 72, 133–142 (1980).
7. Chester, W. The diffraction and reflection of shock waves. Quarterly Journal of Mechanics and Applied Mathematics 7, 57–82 (1954).
8. Chisnell, R. F. The normal motion of a shock wave through a non-uniform one-dimensional medium. Proc R Soc Lond A Math Phys Sci 232, 350–370
(1955).
9. Whitham, G. B. On the propagation of shock waves through regions of non-uniform area or flow. J Fluid Mech 4, 337–360 (1958).
10. Tyl, J. & Wlodarczyk, E. Thermodynamic characteristic of the detonation products of octogen. J. Tech. Phys 24, 139–146 (1983).
11. Gangwar, P. K. Behavior of dusty real gas on adiabatic propagation of cylindrical imploding strong shock waves. AIP Conf Proc 1953, 130024 (2018).
12. Gangwar, P. K. Entropy production on dusty shock propagation in presence of overtaking disturbances. AIP Conf Proc 2220, 120008 (2020).
13. Gangwar, P. K. Effect of solid dust particles on the motion of cylindrical strong imploding shock wave in self-gravitating real gas. 2451, 020077 (2022).
14. Yadav, R. P. Effect of overtaking disturbances on the propagation of strong cylindrical shock in a rotating gas. Modelling, Measurement and Control B 46,
1–11 (1992).
15. Li, H., Ben-Dor, G. & Grönig, H. Analytical study of the oblique reflection of detonation waves. AIAA Journal 35, 1712–1720 (1997).
16. Li, H. & Ben-Dor, G. A Modified CCW Theory for Detonation Waves. Combust Flame 113, 1–12 (1998).
17. Yadav, R. P. & Gangwar, P. K. Theoretical study of propagation of spherical converging shock waves in self- gravitating gas. Modelling, Measurement and
Control B 72, 39–54 (2003).
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