Analytic Solution for Hypersonic Flow Past a Slender Elliptic Cone Using Second-Order Perturbation Approximations

Publish Year: 1379
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJE-13-4_003

تاریخ نمایه سازی: 19 اسفند 1400

Abstract:

An approximate analytical solution is obtained for hypersonic flow past a slender elliptic cone using second-order perturbation techniques in spherical coordinate systems. The analysis is based on perturbations of hypersonic flow past a circular cone aligned with the free stream, the perturbations stemming from the small cross-section eccentricity. By means of hypersonic approximations for the basic cone problem, closed-form second-order approximate solutions for the perturbation equations are obtained within the framework of hypersonic small-disturbance theory. Results for the shock shape, shock-layer structure, and surface pressure are presented for all ranges of Mach number s, together with comparisons with experimental data. Also a complete vortical layer analysis is presented to prove the suitability of the surface boundary conditions.

Authors

A. Baradaran Rahimi

Mechanical Engineering, Ferdowsi University of Mashhad

A. Omehtalb

, Ferdowsi University of Mashhad