The effect of far-field boundary conditions on the evolution of a finite-amplitude two-dimensional wave in the Blasius boundary layer is assessed. With the use of the parabolized stability equations (PSE) theory for the numerical computations, either asymptotic, Dirichlet, Neumann or mixed boundary conditions are imposed at various distances from the wall. The results indicate that asymptotic and mixed boundary conditions yield the most accurate mean-flow distortion and unsteady instability...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY CONDITIONS, BOUNDARY LAYER TRANSITION, FAR FIELDS,...

Three problems concerning laminar-turbulent transition are addressed by solving a series of initial value problems. The first problem is the calculation of resonance within the continuous spectrum of the Blasius boundary layer. The second is calculation of the growth of Tollmien-Schlichting waves that are a direct result of disturbances that only lie outside of the boundary layer. And, the third problem is the calculation of non-parallel effects. Together, these problems represent a unified...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER TRANSITION, LAMINAR BOUNDARY LAYER, TURBULENT...

This paper is concerned with the effect of a weak spanwise-variable mean-flow distortion on the growth of oblique instability waves in a Blasius boundary layer. The streamwise component of the distortion velocity initially grows linearly with increasing streamwise distance, reaches a maximum, and eventually decays through the action of viscosity. This decay occurs slowly and allows the distortion to destabilize the Blasius flow over a relatively large streamwise region. It is shown that even...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, BOUNDARY LAYER TRANSITION, FLOW STABILITY,...

Linear stability of the incompressible flow along a stream wise corner is studied by solving the two-dimensional eigenvalue problem governed by partial differential equations. It is found that this fully three-dimensional flow is subject to inviscid instability due to the inflectional nature of the stream wise velocity profile. The higher growth rates for the inviscid instability mode, which is symmetric about the corner bisector, as compared to the viscous Tollmien-Schlichting instability...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, CORNER FLOW, FLOW STABILITY, FLOW VELOCITY,...

Two cases are considered. The first is concerned with mean flows of the Blasius type wherein the instabilities are represented by Tollmien-Schlichting waves. It is shown that the latter are generated fairly far downstream of the edge and are the result of a wave length reduction process that tunes the free stream disturbances to the Tollmien-Schlichting wave length. The other case is concerned with inflectional, uni-directional, transversely sheared mean flows. Such idealized flows provide a...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, KELVIN-HELMHOLTZ INSTABILITY, LEADING EDGES,...

A computer program has been developed to simulate the transient wall pressure field produced by a low speed fully turbulent boundary layer. The theoretical basis for the simulation has been discussed and preliminary results from a pressure simulation are presented.

Topics: NASA Technical Reports Server (NTRS), COMPUTERIZED SIMULATION, TURBULENT BOUNDARY LAYER, WALL...

The effect of suction on controlling the 3-D secondary instability is investigated for a boundary layer with pressure gradient in the presence of small but finite amplitude Tollmien-Schlichting wave. The focus is on principal parametric resonance responsible for strong growth of subharmonics in low disturbance environment. Calculations are presented for the effect of suction on the onset and amplification of the secondary instability in Blasius and Falkner-Skan flows, as well as its effect on...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER CONTROL, BOUNDARY LAYER STABILITY, SECONDARY...

An effective computational scheme was developed to study the growth/damping of Goertler vortices along walls of variable curvature. Computational experiments indicate that when the amplification rates for the u-, v-, and w-perturbations are the same, the finite difference approach to solve the initial value problem and the normal mode approach give identical results for the Blasius boundary layer on constant curvature concave walls. The growth of Goertler vortices was rapid in the concave...

Topics: NASA Technical Reports Server (NTRS), AIRFOILS, BOUNDARY LAYER CONTROL, BOUNDARY VALUE PROBLEMS,...

Boundary layer receptivity to two-dimensional slow and fast acoustic waves is investigated by solving Navier-Stokes equations for Mach 4.5 flow over a flat plate with a finite-thickness leading edge. Higher order spatial and temporal schemes are employed to obtain the solution whereby the flat-plate leading edge region is resolved by providing a sufficiently refined grid. The results show that the instability waves are generated in the leading edge region and that the boundary-layer is much...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYERS, ACOUSTICS, RECEIVING, NUMERICAL ANALYSIS,...

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Jun 21, 2010
06/10

by
Burrows, D. L

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Insulating system for receptacles of liquefied gases using wire cloth for forming frost layer

Topics: BLASIUS FLOW, LAMINAR BOUNDARY LAYER, FLOW EQUATIONS, FLOW STABILITY, FLOW VELOCITY, PRESSURE...

The stability has been investigated of the unsteady flow past an infinite flat plate when it is moved impulsively from rest, in its own plane. For small times the instantaneous stability of the flow depends on the linearized equations of motion which reduce in this problem to the Orr-Sommerfeld equation. It is known that the flow for certain values of Reynolds number, frequency and wave number is unstable to Tollmien-Schlichting waves, as in the case of the Blasius boundary layer flow past a...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER FLOW, FLAT PLATES, FLOW STABILITY,...

The discrete spectrum of the Orr-Sommerfeld problem of hydrodynamic stability for boundary layer flows in semi-infinite regions is examined. Related questions concerning the continuous spectrum are also addressed. Emphasis is placed on the stability problem for the Blasius boundary layer profile. A general theoretical result is given which proves that the discrete spectrum of the Orr-Sommerfeld problem for boundary layer profiles (U(y), 0,0) has only a finite number of discrete modes when U(y)...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, BOUNDARY LAYER FLOW, CONTINUUM FLOW, DISCRETE...

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144

Jul 26, 2010
07/10

by
Yokota, Jeffrey W

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Convergence properties of a multigrid algorithm, developed to calculate compressible viscous flows, are analyzed by a vector sequence eigenvalue estimate. The full 3-D Reynolds-averaged Navier-Stokes equations are integrated by an implicit multigrid scheme while a k-epsilon turbulence model is solved, uncoupled from the flow equations. Estimates of the eigenvalue structure for both single and multigrid calculations are compared in an attempt to analyze the process as well as the results of the...

Topics: AIRFOILS, COMPUTATIONAL FLUID DYNAMICS, DAMPING, FINITE DIFFERENCE THEORY, BOUNDARY LAYER CONTROL,...

Results from a direct numerical simulation of laminar flow over a flat surface with spherical roughness elements using a spectral-element method are given. The numerical simulation approximates roughness as a cellular pattern of identical spheres protruding from a smooth wall. Periodic boundary conditions on the domain's horizontal faces simulate an infinite array of roughness elements extending in the streamwise and spanwise directions, which implies the parallel-flow assumption, and results...

Topics: NASA Technical Reports Server (NTRS), FLAT SURFACES, FLOW DISTRIBUTION, INCOMPRESSIBLE FLOW,...

This paper describes a self-contained, automated methodology for flow control along with a validation of the methodology for the problem of boundary layer instability suppression. The objective of control is to match the stress vector along a portion of the boundary to a given vector; instability suppression is achieved by choosing the given vector to be that of a steady base flow, e.g., Blasius boundary layer. Control is effected through the injection or suction of fluid through a single...

Topics: NASA Technical Reports Server (NTRS), BLOWING, BOUNDARY LAYER CONTROL, BOUNDARY LAYER FLOW,...

The early three-dimensional stages of transition in Blasius boundary layers are studied by numerical solution of the Navier-Stokes equations. A finite-amplitude two-dimensional wave and random low-amplitude three-dimensional disturbances are introduced. Rapid amplification of the three-dimensional components is observed and leads to transition. For intermediate amplitudes of the two-dimensional wave the breakdown is of subharmonic type, and the dominant spanwise wave number increases with the...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER TRANSITION, BOUNDARY LAYERS, NUMERICAL...

We report the results of measurements of the disturbance velocity field generated in a boundary layer by a shallow three-dimensional bump oscillating at a very low frequency on the surface of a flat plate. Profiles of the mean velocity, the disturbance velocity at the fundamental frequency and at the first harmonic are presented. These profiles were measured both upstream and downstream of the oscillating bump. Measurements of the disturbance velocity were also made at various spanwise and...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER FLOW, BOUNDARY LAYER TRANSITION, BOUNDARY...

An experimental investigation was conducted to examine acoustic receptivity and subsequent boundary-layer instability evolution for a Blasius boundary layer formed on a flat plate in the presence of two-dimensional (2-D) and oblique (3-D) surface waviness. The effect of the non-localized surface roughness geometry and acoustic wave amplitude on the receptivity process was explored. The surface roughness had a well defined wavenumber spectrum with fundamental wavenumber k (sub w). A planar...

Topics: NASA Technical Reports Server (NTRS), ACOUSTIC MEASUREMENT, BOUNDARY LAYERS, OBLIQUENESS, WIND...

The primary objective of the Variable Sweep Transition Flight Experiment (VSTFE) was to establish an improved swept wing transition criterion. The development of the Unified Stability System gave a way of quickly examining disturbance growth for a wide variety of laminar boundary layers. The disturbance growth traces shown are too scattered to define a transition criteria to replace the F-111 data band, which has been used successfully to design NLF gloves. Still, a careful review of the...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER STABILITY, BOUNDARY LAYER TRANSITION, LAMINAR...

The eigenvalue sensitivity for hydrodynamic stability operators is investigated. Classical matrix perturbation techniques as well as the concept of epsilon-pseudoeigenvalues are applied to show that parts of the spectrum are highly sensitive to small perturbations. Applications are drawn from incompressible plane Couette, trailing line vortex flow and compressible Blasius boundary layer flow. Parametric studies indicate a monotonically increasing effect of the Reynolds number on the...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, COMPRESSIBLE BOUNDARY LAYER, COUETTE FLOW,...

This paper documents an investigation of a two dimensional, incompressible Navier-Stokes solver for use as a test-bed for turbulence modelling. DTNS2D is the code under consideration for use at the Center for Modelling of Turbulence and Transition (CMOTT). This code was created by Gorski at the David Taylor Research Center and incorporates the pseudo compressibility method. Two laminar benchmark flows are used to measure the performance and implementation of the method. The classical solution...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, BOUNDARY LAYERS, COMPUTATIONAL FLUID DYNAMICS,...

The relationship between the three dimensional properties of the fundamental flow of a plane Poieseuille flow and subcritical stability was studied. An S-T wave was introduced into the flow and the three dimensional development of the wave observed. Results indicate that: (1) the T-S wave has three dimensional properties which are synchronous with the fundamental flow, but there is damping at microamplitude; (2) when the amplitude reaches a certain threshold, subcritical instability and peak...

Topics: NASA Technical Reports Server (NTRS), FLOW GEOMETRY, FLOW STABILITY, PLANE WAVES, SUBCRITICAL FLOW,...

The upper-branch linear and nonlinear stability of compressible boundary layer flows is studied using the approach of Smith and Bodonyi (1982) for a similar incompressible problem. Both pressure gradient boundary layers and Blasius flow are considered with and without heat transfer, and the neutral eigenrelations incorporating compressibility effects are obtained explicitly. The compressible nonlinear viscous critical layer equations are derived and solved numerically and the results indicate...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, BOUNDARY LAYER FLOW, COMPRESSIBLE FLOW,...

The response of a thin, elastic plate to a harmonic force which drives the plate from below and a compressible air stream with a viscous boundary layer flowing parallel to the upper surface along the length was investigated. Equations governing the forced response of the coupled plate-aerodynamic system are derived along with appropriate boundary conditions. Calculations of basic solution parameters for a linear velocity profile and for a Blasius profile showed that the same system response...

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, BOUNDARY LAYER FLOW, DYNAMIC STRUCTURAL...

Boundary-layer receptivity in the leading edge region for bodies with blunt leading edges is investigated in this research program. Receptivity theory provides the link between the unsteady disturbance environment in the freestream and the initial amplitudes of instability waves in the boundary layer. This is a critical problem which must be addressed in order to develop more accurate prediction methods for boundary-layer transition.

Topics: NASA Technical Reports Server (NTRS), BLASIUS FLOW, BLUNT LEADING EDGES, BOUNDARY LAYER TRANSITION,...

Receptivity processes initiate natural instabilities in a boundary layer. The instabilities grow and eventually break down to turbulence. Consequently, receptivity questions are a critical element of the analysis of the transition process. Success in modeling the physics of receptivity processes thus has a direct bearing on technological issues of drag reduction. The means by which transitional flows can be controlled is also a major concern: questions of control are tied inevitably to those of...

Topics: NASA Technical Reports Server (NTRS), ADJOINTS, BLASIUS FLOW, BOUNDARY LAYER CONTROL, DRAG...