What question did this study set out to answer?

To develop analytical equations describing strong spherical blast waves in scenarios where the mass of the explosion source cannot be neglected.

March 1, 1975Journal of Applied Physics

Approximate spherical blast theory including source mass

View Full Paper

Ask AI

Bookmark

Authors

DFD.A. FreiwaldNorthwestern University RAR.A. AxfordNorthwestern University

Discussion

Member takes

Implication

Theoretical analysis models shock propagation dynamics with source mass in spherical blasts, improving blast wave predictions over standard Taylor-Sedov solutions.

Key Points

To develop analytical equations describing strong spherical blast waves in scenarios where the mass of the explosion source cannot be neglected.
Extended the Taylor-Sedov approximate blast framework by formulating governing equations that incorporate initial source mass.
Derived analytic solutions for shock speed, radial position, and overpressure, evaluating shock position over time using incomplete elliptic integrals.
Computed sample shock dynamics for a laser-initiated 1-MJ pellet microexplosion and benchmarked results against classical Taylor-Sedov predictions.
Yielded closed-form analytical relationships for shock position, propagation velocity, and overpressure as explicit functions of radius.
Demonstrated that incorporating non-negligible source mass significantly alters early-stage shock wave characteristics compared to standard point-source blast approximations.

Cite This Study

Freiwald et al. (1975) studied this question.

synapsesocial.com/papers/6aa2b20de7c447fa74a89ebb https://doi.org/10.1063/1.321722

View Full Paper

Ask AI

Bookmark

Implication

Theoretical analysis models shock propagation dynamics with source mass in spherical blasts, improving blast wave predictions over standard Taylor-Sedov solutions.

Approximate spherical blast theory including source mass

Discussion

Member takes

Implication

Key Points

Cite This Study

Approximate spherical blast theory including source mass

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider