3 edition of **Fast and optimal solution to the "Rankine-Hugoniot problem"** found in the catalog.

Fast and optimal solution to the "Rankine-Hugoniot problem"

- 0 Want to read
- 33 Currently reading

Published
**1985**
by National Aeronautics and Space Administration, Goddard Space Flight Center, For sale by the National Technical Information Service in Greenbelt, Md, [Springfield, Va
.

Written in English

- Astronautics.,
- Iterative methods (Mathematics)

**Edition Notes**

Other titles | Fast and optimal solution to the Rankine Hugoniot problem. |

Statement | Adolfo F. Vinas, Jack D. Scudder. |

Series | NASA technical memorandum -- 86214. |

Contributions | Scudder, Jack D., Goddard Space Flight Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15292318M |

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A new, definitive, reliable and fast iterative method is described for determining the geometrical properties of a shock (i.e., θ Bn, n, V s and M A), the conservation constants and the self‐consistent asymptotic magnetofluid variables using the Rankine‐Hugoniot conservation equations.

The technique uses the three dimensional magnetic Cited by: Get this from a library. Fast and optimal solution to the 'Rankine-Hugoniot problem'. [Adolfo F Vinas; Jack D Scudder; Goddard Space Flight Center.].

Fast and optimal solution to the 'Rankine-Hugoniot problem' Authors: Vinas, A. F.; Scudder, J. reliable and fast iterative method is described for determining the geometrical properties of a shock Explicit proof of "uniqueness" of the shock geometry solution by either analytical or graphical methods is given.

The method is applied to. Problem: From the shock-particle velocity plane in Figure 2, draw the curve in the Hugoniot pressure-volume plane. Solution: Let the particle velocity u change from m/s to m/s. As in the last problem, the pressure can be calculated from Eq.

(2), and the ratio of the specific volume across the shock v v1 0/ can be calculated from Size: KB. Rankine-Hugoniot Relations - For steady one-dimensional flow of a combustible gas that burns to completion, equations relating initial and final conditions are readily derived from conservation equations.

- Consider a premixed flammable mixture in a long tube ignited from one end. A combustion wave will travel down the tube starting from. A.F. Viñas, J.D. Scudder, Fast and optimal solution to the Rankine-Hugoniot problem. NASA Memorandum (May ). The classical Rankine-Hugoniot jump conditions, an important cornerstone of modern shock wave physics: ideal assumptions vs.

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It is in the book: Rational extended thermodynamics - Muller, Ruggeri, In Chapter 8 - Subsection (Weak solutions) and Subsection (Rankine-Hugoniot Equations).

It is given in general terms but it is the proof I was looking for. So the Rankine-Hugoniot condition stays the same in. this book, while randomized rounding [RT87] is presented in Chapter In the primal-dual method for approximation algorithms, an approximate solution to the problem and a feasible solution to the dual of an LP relaxation are constructed simultaneously; the performance guarantee is proved by comparing the values of both solutions.

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A simple ideal Rankine cycle with .