Comparison of Computational Aeroacoustics Prediction of Vortical Gust Scattering by a 2D Stator with Flat Plate Theory

2015 ◽  
Author(s):  
Christopher Durand ◽  
Duane R. Hixon
Keyword(s):  
Flat Plate ◽  
Plate Theory ◽  
Computational Aeroacoustics

Flush probe studies of plasma flow over a flat plate: theory

1979 ◽  
Vol 12 (10) ◽  
pp. 1685-1697 ◽  
Author(s):  
C R Giles ◽  
R M Clements ◽  
P R Smy
Keyword(s):  
Flat Plate ◽  
Plasma Flow ◽  
Plate Theory

A Simple Theory for the Two-Dimensional Compressible Turbulent Boundary Layer

1972 ◽  
Vol 94 (3) ◽  
pp. 636-642 ◽  
Author(s):  
F. M. White ◽  
G. H. Christoph
Keyword(s):  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Flat Plate ◽  
Skin Friction ◽  
Plate Theory ◽  
Momentum Equation ◽  
Shape Factors ◽  
Law Of The Wall ◽  
Compressible Turbulent Flow ◽  
New Equation

A new approach is proposed for analyzing the compressible turbulent boundary layer with arbitrary pressure gradient. Utilizing a compressible law-of-the-wall and a Crocco energy approximation, the new theory integrates the momentum equation across the boundary layer in terms of inner variables only. The result is a single first-order ordinary differential equation for skin friction, devoid of integral thicknesses and shape factors. When analyzed for flat plate flow, this new equation has an exact solution apparently superior in accuracy to any other flat plate theory (Table 1). The new equation also agrees well with supersonic skin friction data in both favorable and adverse pressure gradients. The new theory contains an explicit separation criterion and is the simplest and possibly most accurate existing analysis for compressible turbulent flow.

Experimental Analysis of Rudder Contribution to Roll Damping

2008 ◽  
Author(s):  
Ali Etebari ◽  
Paisan Atsavapranee ◽  
Christopher Bassler ◽  
Jason Carneal
Keyword(s):  
Flat Plate ◽  
Plate Theory ◽  
Added Mass ◽  
Sine Wave ◽  
Plate Model ◽  
Flat Plates ◽  
Roll Damping ◽  
Clear Trend ◽  
Current Effort ◽  
Drag And Lift

Measuring and modeling the forces on the appendages of surface ships is important for understanding roll-damping and validating numerical simulations. In recent years, Atsavapranee et al (2007) showed that the bilge keel damping component can be modeled using the flat plate theory established by Keulegan and Carpenter (1958). This model treats the bilge keels as a flat plate that generates viscous damping, as well as added mass. The model comes as an improvement to models used in computational codes used for predicting roll damping, due to the fact that the added mass component is significant. In this study, uncoupled roll motion is investigated to quantify the rudder forces on a fully appended DTMB model #5415 with instrumented appendages at Froude numbers of 0 and 0.138. The objective of the current effort is to decompose the rudder force into its steady, symmetric, and antisymmetric components using Fourier analysis. In the force analysis the rudders are treated as flat plates for the Fr = 0 tests, using the model described by Keulegan and Carpenter (1958). The drag and lift forces are consistent with the flat plate model. The anti-symmetric term, however, does not show a clear trend. For a flat plate model, the anti-symmetric term should resemble a negative sine wave with respect to roll. However, the rudders represent a higher aspect ratio flat plate, and thus require a modification to the added mass formulation. Furthermore, during a normal roll period they tend to interact with the free surface, which can lead to wave damping, which should resemble a positive sine wave with respect to roll. Thus, the two components of the anti-symmetric portion of the signal are superimposed upon one another. In an attempt to decouple these two components, the added mass was artificially removed from the antisymmetric component of the force. This paper will detail the methods used to model the rudder forces for both the standstill and positive Froude number cases.

On Classical Plate Theory and Wave Propagation

1961 ◽  
Vol 28 (2) ◽  
pp. 223-228 ◽  
Author(s):  
M. A. Medick
Keyword(s):  
Wave Propagation ◽  
Flat Plate ◽  
Surface Area ◽  
Plate Theory ◽  
Large Radius ◽  
Classical Plate Theory ◽  
Small Surface ◽  
Transient Loading ◽  
Small Surface Area

The purpose of this investigation is to assess the applicability of classical plate theory in describing the response of a flat plate of large radius to a sharp, transient loading applied over a small surface area by evaluating its predictions and comparing them with some preliminary experiments.

scholarly journals Euler Flow Predictions for an Oscillating Cascade Using a High Resolution Wave-Split Scheme

1991 ◽  
Author(s):  
Dennis L. Huff ◽  
Timothy W. Swafford ◽  
T. S. R. Reddy
Keyword(s):  
Flat Plate ◽  
Plate Theory ◽  
Unsteady Aerodynamics ◽  
Nonlinear Behavior ◽  
Splitting Scheme ◽  
Flow Equations ◽  
Euler Flow ◽  
Time Marching ◽  
Phase Angles ◽  
Flux Difference

A compressible flow code that can predict the nonlinear unsteady aerodynamics associated with transonic flows over oscillating cascades is developed and validated. The code solves the two-dimensional, unsteady Euler equations using a time-marching, flux-difference splitting scheme. The unsteady pressures and forces can be determined for arbitrary input motions, although this paper will only address harmonic pitching and plunging motions. The code solves the flow equations on a H-grid which is allowed to deform with the airfoil motion. Predictions are presented for both flat plate cascades and loaded airfoil cascades. Results are compared to flat plate theory and experimental data. Predictions are also presented for several oscillating cascades with strong normal shocks where the pitching amplitudes, cascade geometry and interblade phase angles are varied to investigate nonlinear behavior.

Finite Element Analysis of a Slab Tank

2004 ◽  
Author(s):  
Yogeshwar Hari
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Internal Pressure ◽  
Flat Plate ◽  
Rectangular Plate ◽  
Plate Theory ◽  
Element Analysis ◽  
Short Side ◽  
Finite Element Software ◽  
Design Function

The objective of this paper is to verify design of a slab tank. The slab tank is to store various criticality liquids used in today’s industry. The initial over all dimensions of the slab tank are determined from the capacity of the stored liquids. The design function is performed using the flat plate theory. The slab tank design is broken up into (a) two long side members, (b) two short side members, (c) top head, and (d) bottom head. It is supported from the bottom at a height by a rectangular plate enclosure. It is anchored at the rectangular plate enclosure. The deflection of the linear space is a critical requirement. Stresses are usually acceptable because the requirement is on the deflection. For vacuum condition the long side plates will deflect inwards. Flat plate equations are used to determine deflection and stress. For internal pressure condition the design pressure consists of working internal pressure plus static head pressure. For this the long side plates will deflect outwards. The heads are designed for internal pressure at the bottom where the pressure is the maximum. The designed dimensions are used to recalculate the stresses for the slab tank. The dimensioned slab tank is modeled using STAAD III finite element software. The stresses from the finite element software are compared to the stresses obtained from recalculated stresses obtained using flat plate theory. The difference in the stress values is explained. This paper’s main objective is to compare the flat plate theory to the finite element analysis. The design is found to be safe for the specific configuration considered.

Elastic Buckling of Infinitely Long Trapezoidally Corrugated Plates in Shear

1978 ◽  
Vol 45 (3) ◽  
pp. 579-582 ◽  
Author(s):  
D. Perel ◽  
C. Libove
Keyword(s):  
Flat Plate ◽  
Energy Method ◽  
Orthotropic Plate ◽  
Plate Theory ◽  
Elastic Buckling ◽  
Flat Plates ◽  
Buckling Loads ◽  
Plate Elements ◽  
Corrugated Plates

Buckling loads are calculated for a class of infinitely long trapezoidally corrugated plates under uniform in-plane edge shear. This class consists of corrugated plates in which all interior plate elements are of equal width, with the end elements clamped. The energy method is used as the basis of analysis, which considers the corrugated plate as a nonplanar assemblage of flat plates. Buckling loads calculated using this method are compared to those obtained by using orthotropic plate theory, which represents the corrugated plate by an orthotropic flat plate. The comparison shows significant differences in predicted buckling loads.

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