Version 1
: Received: 21 July 2023 / Approved: 21 July 2023 / Online: 24 July 2023 (02:15:20 CEST)
How to cite:
Sadasivan, A.L. Inverse Gas Dynamics Tables for the Isentropic Expansion of a Gas Due to Area Change and Flow Deflection. Preprints2023, 2023071518. https://doi.org/10.20944/preprints202307.1518.v1
Sadasivan, A.L. Inverse Gas Dynamics Tables for the Isentropic Expansion of a Gas Due to Area Change and Flow Deflection. Preprints 2023, 2023071518. https://doi.org/10.20944/preprints202307.1518.v1
Sadasivan, A.L. Inverse Gas Dynamics Tables for the Isentropic Expansion of a Gas Due to Area Change and Flow Deflection. Preprints2023, 2023071518. https://doi.org/10.20944/preprints202307.1518.v1
APA Style
Sadasivan, A.L. (2023). Inverse Gas Dynamics Tables for the Isentropic Expansion of a Gas Due to Area Change and Flow Deflection. Preprints. https://doi.org/10.20944/preprints202307.1518.v1
Chicago/Turabian Style
Sadasivan, A.L. 2023 "Inverse Gas Dynamics Tables for the Isentropic Expansion of a Gas Due to Area Change and Flow Deflection" Preprints. https://doi.org/10.20944/preprints202307.1518.v1
Abstract
The available direct gas dynamic tables provide the area ratio and the Prandtl-Meyer(P-M) angle of isentropic expansion of gas as functions of the Mach number. But finding the value of the Mach number in terms of area ratio or P-M angle requires an inverse function. Currently, the Mach number is determined by either interpolation from the direct gas dynamics tables, or the application of non-linear equation solvers using numerical methods. Both methods are approximate. In this paper inverse functions for Mach number in the form of Taylor’s series expansions are reported to develop the so-called inverse tables. The advantage of this approach is that the Mach number with a greater accuracy, referred to as nearly exact can be obtained by reading from the inverse table. In the presentation, the necessary equations and new tables that can be used by the scientific community will be disseminated. The data and computer programs are made available on GitHub through https://github.com/anillals/Inverse-gas-dynamic-tables- and-codes. A paper describing the complete mathematical steps in the derivation of the equations can be found at https://rdcu.be/dgrlf
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
