One-Dimensional Compressible Flow in Variable Area Duct with Heat Addition (Preprint)
Abstract
One-dimensional compressible flows of calorically perfect gases in which only a single driving potential is present are called simple flows. Because Mach number and property relations for simple flows can be expressed in closed form, such flows are usually treated individually. Most introductory compressible flow courses and most compressible flow textbooks discuss three types of simple flows: isentropic flow in a variable area duct, the heat addition (or rejection) flow in constant area duct (Rayleigh flow), and adiabatic flow in a constant area duct with gas-wall-surface friction (Fanno flow). In the present paper we consider a case of two driving potentials: heat addition and variable area duct. Therefore, the obtained governing ordinary differential equations cannot be solved analytically, as in the case of simple flows, but they can be easily solved numerically. This research has been inspired by recent papers, where the authors discussed the thrust augmentation of solid rocket motors by heating the alumina particles in the exhaust of the motor by a microwave beam generated by a ground-based microwave generation facility. Thus, the equations obtained in the paper can be used, for example, as benchmarks for numerical investigation of gas flows in a nozzle heated by an external heating source.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 25, 2010
- Accession Number
- ADA524450
Entities
People
- Leonid Pekker