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Density perturbations in transonic sluing laser beams.

J W Ellinwood, H Mirels

|February 16, 2010

Summary

This study presents a linearized theory for density perturbations in a sluing laser beam. For Mach number 1, isentropic perturbations peak, differing significantly from 1D cases at later times.

Area of Science:

Fluid dynamics
Plasma physics
Laser-plasma interactions

Background:

Laser-induced density perturbations are critical in various applications.
Understanding these perturbations requires theoretical modeling.

Purpose of the Study:

To develop a linearized theory for density perturbations in a sluing laser beam.
To analyze the influence of time and cross-flow Mach number (M) on these perturbations.

Main Methods:

Formulated a linearized theory for density perturbations.
Expressed net local density perturbation as isobaric and isentropic components.
Obtained a closed-form solution for M = 1 with uniform heat addition in a circular beam.

Main Results:

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Isentropic perturbations peak at M = 1.
Significant discrepancies observed between 1D and 2D beam cases at large times.
Isentropic density perturbation scales as t in 1D and t(1/2) in 2D.

Conclusions:

The study provides a theoretical framework for sluing laser beam-induced density perturbations.
Nonlinear effects are considered for estimating steady-state perturbations and time scales at M = 1.