Development of stationary disturbances in a spatially developing jet

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Abstract

Nonmodal development of stationary three-dimensional disturbances in a circular jet is numerically investigated at the Reynolds number Re = 2850. The operating conditions of a laboratory experiment performed earlier in the Institute of Mechanics of Moscow State University are reproduced. A method for calculating optimal disturbances under the conditions of downstream developing main flow is developed. The disturbances associated with different azimuthal numbers are calculated. The shape, character of development, and growth degree of optimal disturbances are determined.

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About the authors

D. A. Ashurov

Moscow State University, Institute of Mechanics

Author for correspondence.
Email: ashurovda@my.msu.ru
Russian Federation, Moscow

N. V. Nikitin

Moscow State University, Institute of Mechanics

Email: nvnikitin@mail.ru
Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Gain factors of optimal disturbances λ1(x) = E(x)/E(0).

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3. Fig. 2. Gain factors of optimal λ1(x) and suboptimal λ2(x), λ3(x) disturbances calculated on different grids for n = 5: 1 – Xm = 20, Rm = 6, Im×Jm = 512×64, M = 33; 2 – Xm = 12, Rm = 6, Im×Jm = 1024×128, M = 42; 3 – Xm = 20, Rm = 6, Im×Jm = 1024×128, M = 67.

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4. Fig. 3. Development of the optimal disturbance corresponding to x = 10, n = 5. (a): 1 – E(x), 2 – Es(x), 3 – Er(x) (3.4); (b): λ1 – E.

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5. Fig. 4. The velocity field of the optimal (a) and suboptimal (b) disturbance corresponding to x = 10, n = 1. The color shows the disturbance of the longitudinal component of the velocity, the arrows show the transverse movement.

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6. Fig. 5. The velocity field of the optimal (a) and suboptimal (b) disturbance corresponding to x = 10, n = 5. The color shows the disturbance of the longitudinal component of the velocity, the arrows show the transverse movement.

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