Year-end Sale % OFF 
Abstract
Adiabatic and isothermal propagations of spherical blast wave produced due to a nuclear explosion have been studied using the Energy hypothesis of Thomas, in the nonuniform atmosphere of the earth. The explosion is considered at different heights. Entropy production is also calculated along with the strength and velocity of the shock. In both the cases; for adiabatic and isothermal flows, it has been found that shock strength and shock velocity are larger at larger heights of explosion, in comparison to smaller heights of explosion. Isothermal propagation leads to a smaller value of shock strength and shock velocity in comparison to the adiabatic propagation. For the adiabatic case, the production of entropy is higher at higher heights of explosion, which goes on decreasing as the shock moves away from the point of explosion. However for the isothermal shock, the calculation of entropy production shows negative values. With negative values for the isothermal case, the production of entropy is smaller at higher heights of explosion, which goes on increasing as the shock moves away from the point of explosion. Directional study of the shock motion and entropy production show that in both the cases of adiabatic and isothermal flow, shock strength and shock velocity are larger in upward motion of the shock, in comparison to the downward motion of the shock. For adiabatic flow, entropy production is larger in upward motion of the shock; whereas, with negative values, entropy production is smaller in upward motion of the isothermal shock. For the adiabatic case, the profiles of shock strength, shock velocity and entropy production are smooth and have the largest value in vertically upward direction and have the lowest value in vertically downward direction, forming the oval shape. For the isothermal case, the profiles of shock strength and shock velocity show similar trend as that for adiabatic case but the profile of entropy production shows opposite trend. The profiles maintain their shape as the shock moves away. Comparison with observed values of shock velocity shows that isothermal case produces better results in comparison to the adiabatic case.
Highlights
Propagation of spherical blast wave in nonuniform media is of immense importance in the field of shock dynamics, as almost all the naturally available media are nonuniform in nature
Self similar isothermal flow behind the spherical shock wave produced by a point explosion with their propagation in uniform and nonuniform atmosphere has been first investigated by Korbinikov [12, 13]
For the isothermal case, the values of shock strength and shock velocity are smaller in comparison to the adiabatic case
Summary
Propagation of spherical blast wave in nonuniform media is of immense importance in the field of shock dynamics, as almost all the naturally available media are nonuniform in nature. Adiabatic propagation of blast wave produced due to a sudden release of a large amount of energy has been first investigated by Taylor [39, 40] and Sedov [30, 31] using the similarity method. Self similar isothermal flow behind the spherical shock wave produced by a point explosion with their propagation in uniform and nonuniform atmosphere has been first investigated by Korbinikov [12, 13]. Cylindrical blast wave with radiation heat flux in self gravitating gas has been investigated by Singh et al.[32]. The adiabatic and isothermal propagation of spherical blast wave in the nonuniform media of earth’s atmosphere has been considered using energy hypothesis of Thomas [41]. Results are compared with those obtained by Taylor [40]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
