2 edition of **A numerical investigation of finite-amplitude disturbances in a plane Poiseuille flow** found in the catalog.

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Published
**1970**
by Naval Postgraduate School in Monterey, California
.

Written in English

- Aeronautics

ID Numbers | |
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Open Library | OL25273896M |

In one investigation discussed in this paper, the reaction of a flat-plate boundary layer to periodic disturbances of finite amplitude is studied in order to gain insight into the nonlinear, two-dimensional development of the transition process. the numerical model is applied to the investigation of stability and transition in plane. by Gortler [8, 9], who used numerical methods successfully. While the investigation of curved flows was uneventful, the investigation of axi-ally symmetrical flows was not extensive. The Poiseuille flow in a circular pipe was studied by Sexl [55] with a conclusion of stability. Prandtl [42] gave some discus-.

The nonlinear stability of plane Poiseuille–Couette flow subjected to three-dimensional disturbances is studied asymptotically at large Reynolds number analysing the nature of the instability for increasing disturbance size Δ, the scaling Δ = O(R −1/3) is identified at which a strongly nonlinear neutral wave structure emerges, involving the interaction of two inviscid critical layers. disturbance, and that it played no significant role in the spreading or breakdown of the boundary-layer spot itself. Poiseuille flow spots Turbulent spots are also found in plane Poiseuille flow. Carlson, Widnall & Peeters () found that those spots had an arrowhead pointing in the upstream direction, in contrast to the boundary-layer spot.

W. C. Reynolds and M. C. Potter, Finite-amplitude instability of parallel shear flows, J. Fluid Mech. 27, () C. L. Pekeris and B. Shkoller, Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve, J. Fluid Mech. 29, (). On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow. J. Fluid Mech. , 9, – [Google Scholar] Nishioka, M.; A, S.I.; Ichikawa, Y. An experimental investigation of the stability of plane Poiseuille flow. J.

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Author(s) key words: Hydrodynamic stability, finite-differences, turbulence, plane Poiseuille flow Includes bibliographical references (p. ) Technical report; The response of a plane Poiseuille flow to disturbances of various initial wavenumbers and amplitudes is investigated by numerically integrating the equation of : P.

Sen, D. VenkateswarluOn the stability of plane Poiseuille flow to finite-amplitude disturbances, considering the higher-order Landau coefficients J.

Fluid Mech., (), pp./SCited by: 1. Results are obtained for plane Poiseuille flow, and for a combination of plane Poiseuille and plane Couette flow. The Poiseuille flow exhibits finite-amplitude subcritical instability, and. Poiseuille Flow Time Splitting Nonlinear Instability Plane Poiseuille Flow A Numerical Investigation of Finite-Amplitude Disturbances in a Plane Poiseville Flow, Ph.D.

Thesis, Naval Post Graduate School, Monterrey, California (). Google : J. Fromm. A two-layer plane Poiseuille flow exhibits sub and supercritical bifurcations. • At the onset of instability, subcritical bifurcation shows up. • This results into a significant reduction in the critical Reynolds number.

• Feedback of the mean flow correction is responsible for the subcritical by: 1. The hydrodynamic stability of plane Poiseuille flow to infinitesimal and finite amplitude disturbances is investigated using a direct numerical technique. The governing equations are cast in terms of vorticity and stream function using second-order central differences in space.

Direct numerical simulations with initial small-amplitude random disturbances are used to investigate instability and transition in plane Pouseuille flow with spanwise system rotation, employing a large computational domain to facilitate the selection of the dominant spanwise wavelength of the observed streamwise vortices as well as the streamwise wavelength of the dominant secondary modes due.

The linearized equations for the evolution of disturbances to four wall bounded flows are treated. The flows are plane Couette flow and plane Poiseuille flow, Hagen-Poiseuille pipe flow, and the. It is shown that finite-amplitude disturbances can drive transition to turbulence in both plane Poiseuille flow and plane Couette flow at Reynolds numbers of order Details of the resulting flow fields are presented.

It is also shown that plane Poiseuille flow cannot sustain turbulence at Reynolds numbers below about Analytical and Numerical Investigation of the Resolvent for Plane Couette Flow.

SIAM Journal on Applied Mathematics, Vol. 63, Issue. 3, p. Energy growth of three-dimensional disturbances in plane Poiseuille flow. Finite-Amplitude Perturbation in Plane Couette Flow. Europhysics Letters (EPL), Vol.

28, Issue. 4, p. Finite-amplitude equilibrium states in plane Couette ﬂow (theindex(0,0)means thatonetakesthexz-average).PlaneCouetteﬂowisdeﬁnedby a zero mean pressure gradient and we have used this condition in (). For the numerical computation the modal expansion () is truncated at nﬂN, mﬂM, and j.

Calhoun: The NPS Institutional Archive Reports and Technical Reports All Technical Reports Collection A numerical investigation of the. Instability and transition in plane Poiseuille flow with spanwise system rotation is studied via direct numerical simulations with initial small‐amplitude random disturbances.

The results confirm and clarify the recent experimental findings of Alfredsson and Persson [J. Fluid Mech. ()].A large computational domain is used to allow natural selection of the dominant spanwise. It is well known that the stability of plane Poiseuille flow is extremely sensitive to small imperfections that are inevitably present.

In this paper, a simple model is proposed, in which the imperfections are represented by a steady but spatially periodic surface roughness and a small oscillatory pressure gradient. A steady perturbation in the form of spatially periodic suction is also.

Ramazanov, M. Development of finite-amplitude disturbances in Poiseuille flow, in Laminar- Turbulent Transition, pp. –, Springer-Verlag, Berlin. Google Scholar Singer, B., Reed, H., and Ferziger, J.

Investigation of the effects of initial disturbances on plane channel transition, AIAA Paper No. 86– Finite-amplitude steady waves in shear flows The formal procedure goes as follows; see also figure 1, where the approach is sketched in the (Q, V, P)-space.

First, values of h, Land v are chosen so that a= 2nhjL () has a value such that a bifurcation point exists for uniform Poiseuille flow, i.e.

there. A STUDY OF FINITE AMPLITUDE DISTURBANCES IN PLANE POiSEUILLE FLOW BY FINITE-DIFFERENCE METHODS. Iowa State University, Ph.D., Engineering, aeronauti cal j University Microfilms, A XEROX Company, Ann Arbor, Michigan THIS DISSERATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED.

Direct sinrelations of small- and finite-amplitude distur- bances in spatially periodic plane Poiseuille flow were per- formed. The ability of three high-order finite difference methods to predict the proper behavior of the disturbances was under investigation. The proposed procedure allowed.

Instability and transition in plane Poiseuille flow with spanwise system rotation is studied via direct numerical simulations with initial small-amplitude random disturbances.

The results confirm and clarify the recent experimental findings of Alfredsson and Persson [J. Fluid Mech. ()]. A large computational domain is used to allow natural selection of the dominant spanwise.

Abstract. Direct numerical simulations with initial small-amplitude random disturbances are used to investigate instability and transition in plane Pouseuille flow with spanwise system rotation, employing a large computational domain to facilitate the selection of the dominant spanwise wavelength of the observed streamwise vortices as well as the streamwise wavelength of the dominant secondary.

The paper presents the experimental results and the results of direct numerical simulation of the development and interaction of two wave trains from two point sources of controlled disturbances in a supersonic boundary layer on a flat plate with an incident flow Mach number of Sources were located parallel to the leading edge of the model.

For the introduction of controlled disturbances.flow velocity and the prime denotes differentiation with respect to y. Using such an approach, Meksyn & Stuart estimated the effect of the finite amplitude disturbance on the critical Reynolds number for plane Poiseuille flow.

As was to be expected, the results showed that the. () The wave structure of turbulent spots in plane Poiseuille flow. Journal of Fluid Mechanics 1, () The effects of inertia on the stability of the convective flow .