Dear All,
This might be silly question , but why is scaled distance taken as sqaure root to the power 2/3 in Langefors and cube root ? Square root and cube root depend on spherical charge and cylindrical charge respectively, apart from this what else is the reason for choosing these two- three values only.
"The concept of cube root scaling implies that all physical quantities with dimensions
of pressure and velocity remain unchanged in the scaling. The basic principle of cube root scaling is that the energy released from a point explosion will propagate with an expanding sphere of the shock wave. In other words, the various blast effects will be proportional to the energy per unit volume (specific energy). Since the volume of the sphere is proportional to R3, the scaling will contain the cube root. If, however, the explosion is not similar to a point explosion (or spherical charge), the scaling laws may change. For example, for an explosive line or cylindrical charge, square root scaling should be used because the energy will propagate with the expanding cylindrical shock front. These differences are important in the case of close-in explosions, for which the charge shape is essential in defining the shock front. For explosions far from a target, the assumption of a point detonation is quite reasonable and cube root scaling should be used. Because a survivable target must be at a considerable distance from the center of a nuclear explosion, cube root scaling is adequate."
From the book "Modern Protective Structures by Theodor Krauthammer, Theodor Krauthammer".
"The concept of cube root scaling implies that all physical quantities with dimensions
of pressure and velocity remain unchanged in the scaling. The basic principle of cube root scaling is that the energy released from a point explosion will propagate with an expanding sphere of the shock wave. In other words, the various blast effects will be proportional to the energy per unit volume (specific energy). Since the volume of the sphere is proportional to R3, the scaling will contain the cube root. If, however, the explosion is not similar to a point explosion (or spherical charge), the scaling laws may change. For example, for an explosive line or cylindrical charge, square root scaling should be used because the energy will propagate with the expanding cylindrical shock front. These differences are important in the case of close-in explosions, for which the charge shape is essential in defining the shock front. For explosions far from a target, the assumption of a point detonation is quite reasonable and cube root scaling should be used. Because a survivable target must be at a considerable distance from the center of a nuclear explosion, cube root scaling is adequate."
From the book "Modern Protective Structures by Theodor Krauthammer, Theodor Krauthammer".
Dear Hasilbul,
Thank You very much for the reply. This was really helpful.
- Badges
- Science topic
- Similar topics
- Engineering
- Civil Engineering