Abstract
view Abstract Citations (14) References (11) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Time-dependent fluid flow in a central gravitational field. Cheng, A. F. Abstract The time evolution of spherically symmetric self-similar polytropic flows in a central gravitational field is analyzed. The required similarity transformation is performed, boundary conditions are discussed, and some examples of solutions to the equations of motion are given. These describe the evolution of an accretion flow for a polytropic index of 3/2, accretion flows with a polytropic index of 3, and the decay of an explosive flaring process into a steady stellar-wind outflow for an index of 3/2. Phase plane analysis is used to examine the qualitative behavior of the solutions at large values of dimensionless hydrodynamic time, and several general theorems governing this behavior are obtained. Publication: The Astrophysical Journal Pub Date: April 1977 DOI: 10.1086/155185 Bibcode: 1977ApJ...213..537C Keywords: Fluid Flow; Gravitational Fields; Polytropic Processes; Shock Wave Propagation; Stellar Winds; Time Dependence; Hydrodynamics; Magnetohydrodynamic Flow; Steady Flow; Stellar Mass Accretion; Stellar Models; Unsteady Flow; Astrophysics full text sources ADS |
Sign-in/Register to access full text options 
Free) 
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 call
