The nonlinear growth of instabilities of an outward propagating, but decelerating, cylindrical interface separated by fluids of different densities is investigated. Single mode perturbations are introduced around the contact-surface, and their evolution is studied by conducting inviscid 2D and 3D numerical simulations. In the past, a significant amount of work has been carried out to model the development of the perturbations in a planar context where the contact surface is stationary or in a spherical context where a point-source blast wave is initiated at the origin. However, for the finite-source cylindrical blast-wave problem under consideration, there is a need for a framework which includes additional complexities such as compressibility, transition from linear to nonlinear stages of instability, finite thickness of the contact interface (CI), and time-dependent deceleration of the contact surface. Several theoretical potential flow models are presented. The model which is able to capture the above mentioned effects (causing deviation from the classical Rayleigh–Taylor Instability (RTI)) is identified as it compares reasonably well with the DNS results. Only for higher wavenumbers, the early development of secondary instabilities (Kelvin–Helmholtz) complicates the model prediction, especially in the estimation of the high-density fluid moving into low-density ambient.

Article navigation

Special Section Articles

# Nonlinear Rayleigh–Taylor Instability of a Cylindrical Interface in Explosion Flows

Subramanian Annamalai

,
Subramanian Annamalai

Department of Mechanical

and Aerospace Engineering,

e-mail: subbu.ase@ufl.edu

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: subbu.ase@ufl.edu

Search for other works by this author on:

Manoj K. Parmar

,
Manoj K. Parmar

Department of Mechanical

and Aerospace Engineering,

e-mail: mparmar@ufl.edu

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: mparmar@ufl.edu

Search for other works by this author on:

Yue Ling

,
Yue Ling

Department of Mechanical

and Aerospace Engineering,

e-mail: yueling@ufl.edu

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: yueling@ufl.edu

Search for other works by this author on:

S. Balachandar

S. Balachandar

Department of Mechanical

and Aerospace Engineering,

e-mail: bala1s@ufl.edu

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: bala1s@ufl.edu

Search for other works by this author on:

Subramanian Annamalai

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: subbu.ase@ufl.edu

Manoj K. Parmar

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: mparmar@ufl.edu

Yue Ling

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: yueling@ufl.edu

S. Balachandar

and Aerospace Engineering,

University of Florida

,Gainesville, FL 32611

e-mail: bala1s@ufl.edu

*J. Fluids Eng*. Jun 2014, 136(6): 060910 (15 pages)

**Published Online:**April 28, 2014

Article history

Received:

May 14, 2013

Revision Received:

November 5, 2013

Citation

Annamalai, S., Parmar, M. K., Ling, Y., and Balachandar, S. (April 28, 2014). "Nonlinear Rayleigh–Taylor Instability of a Cylindrical Interface in Explosion Flows." ASME. *J. Fluids Eng*. June 2014; 136(6): 060910. https://doi.org/10.1115/1.4026021

Download citation file:

- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars

Close

#### Sign In

### Get Email Alerts

### Cited By

Numerical Investigations of Gas–Liquid Two-Phase Flow in a Pump Inducer

J. Fluids Eng (February 2020)

A Coupled Overset Mesh and Hybridizable Discontinuous Galerkin Algorithm for Pseudo-Compressible Flow

J. Fluids Eng (January 2020)

### Related Articles

Microbubble Drag Reduction Downstream of Ventilated Partial Cavity

J. Fluids Eng (May, 2010)

Liquid Jet Pumped by Rising Gas Bubbles

J. Fluids Eng (March, 1976)

Numerical Simulation of Evaporating Two-Phase Flow in a High-Aspect-Ratio Microchannel with Bends

J. Heat Transfer (August, 2017)

Initial Stage of Natural Convection Over a Hot Aerosol Sphere

J. Fluids Eng (June, 2007)

### Related Proceedings Papers

### Related Chapters

Dynamics and Mechanisms of Intracellular Calcium Waves Elicited by Tandem Bubble-Induced Jetting Flow

Proceedings of the 10th International Symposium on Cavitation (CAV2018)

Vertical Rise of a Weather Balloon

Case Studies in Fluid Mechanics with Sensitivities to Governing Variables

Investigation of the Energy Shielding of Kidney Stones by Cavitation Bubble Clouds during Burst Wave Lithotripsy

Proceedings of the 10th International Symposium on Cavitation (CAV2018)