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# Computation of Stiffness and Damping Derivatives of an Ogive in a Limiting Case of Mach Number and Specific Heat Ratio

Aysha Shabana1,2,*, Asha Crasta1, Sher Afghan Khan3, Abdul Aabid4, Muneer Baig4

1 Department of Mathematics, Mangalore Institute of Technology and Engineering, Moodabidri, 574225, India
2 Department of Mathematics, Sahyadri College of Engineering & Management, Mangalore, 575007, India
3 Department of Mechanical and Aerospace Engineering, Faculty of Engineering, International Islamic University, Kuala Lumpur, 53100, Malaysia
4 Department of Engineering Management, College of Engineering, Prince Sultan University, Riyadh, 11586, Saudi Arabia

* Corresponding Author: Aysha Shabana. Email:

(This article belongs to this Special Issue: Materials, Energy, and Fluid Dynamics)

Fluid Dynamics & Materials Processing 2023, 19(5), 1249-1267. https://doi.org/10.32604/fdmp.2023.023158

## Abstract

This work aims to compute stability derivatives in the Newtonian limit in pitch when the Mach number tends to infinity. In such conditions, these stability derivatives depend on the Ogive’s shape and not the Mach number. Generally, the Mach number independence principle becomes effective from M = 10 and above. The Ogive nose is obtained through a circular arc on the cone surface. Accordingly, the following arc slopes are considered λ = 5, 10, 15, −5, −10, and −15. It is found that the stability derivatives decrease due to the growth in λ from 5 to 15 and vice versa. For λ = 5 and 10, the damping derivative declines with an increase in λ from 5 to 10. Yet, for the damping derivatives, the minimum location remains at a pivot position, h = 0.75 for large values of λ. Hence, when λ = −15, the damping derivatives are independent of the cone angles for most pivot positions except in the early twenty percent of the leading edge.

## Keywords

Shabana, A., Crasta, A., Khan, S. A., Aabid, A., Baig, M. (2023). Computation of Stiffness and Damping Derivatives of an Ogive in a Limiting Case of Mach Number and Specific Heat Ratio. FDMP-Fluid Dynamics & Materials Processing, 19(5), 1249–1267.

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