A new type of Burgers' equation
GA Nariboli, WC Lin - ZAMM‐Journal of Applied Mathematics …, 1973 - Wiley Online Library
GA Nariboli, WC Lin
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für …, 1973•Wiley Online LibraryAssuming a similarity hypothesis that achieves the balance of non‐linearity, unsteadiness
and dissipative effects, a new type of Burgers' equation is obtained. Consideration is limited
to those cases where the singular surface theory predicts no growth of acceleration wave.
Two examples are given. In these examples the interpretation of the evolutionary character
of shock formation from acceleration waves for a non‐dissipative system fails. The present
work provides such an interpretation. Taylor's solution for a plane shock and self‐similar …
and dissipative effects, a new type of Burgers' equation is obtained. Consideration is limited
to those cases where the singular surface theory predicts no growth of acceleration wave.
Two examples are given. In these examples the interpretation of the evolutionary character
of shock formation from acceleration waves for a non‐dissipative system fails. The present
work provides such an interpretation. Taylor's solution for a plane shock and self‐similar …
Abstract
Assuming a similarity hypothesis that achieves the balance of non‐linearity, unsteadiness and dissipative effects, a new type of Burgers' equation is obtained. Consideration is limited to those cases where the singular surface theory predicts no growth of acceleration wave. Two examples are given. In these examples the interpretation of the evolutionary character of shock formation from acceleration waves for a non‐dissipative system fails. The present work provides such an interpretation. Taylor's solution for a plane shock and self‐similar solutions for plane and cylindrical shocks are discussed.