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Thursday, July 16, 2020 | History

4 edition of Stability of a non-orthagonal stagnation flow to three dimensional disturbances found in the catalog.

Stability of a non-orthagonal stagnation flow to three dimensional disturbances

Stability of a non-orthagonal stagnation flow to three dimensional disturbances

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Published by National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, For sale by the National Technical Information Service in Hampton, Va, [Springfield, Va .
Written in English


Edition Notes

StatementD.G. Lasseigne, T.L. Jackson.
SeriesICASE report -- no. 91-51., NASA contractor report -- 187591., NASA contractor report -- NASA CR-187591.
ContributionsJackson, Thomas L. 1957-, Institute for Computer Applications in Science and Engineering.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL17633054M
OCLC/WorldCa59758051

In summary, the function is the solution of the boundary value problem given by the equations to (), which has no closed form equation ordinary differential equation is non-linear and has to be solved numerically together with the boundary conditions to ().Figure 2 below illustarte the result of the numerical evaluation of the boundary value problem given by equations to for in. Stability Analysis of Dual Solutions in Stagnation-point Flow and Heat Transfer over a Power-law Shrinking Surface T. Ray Mahapatra1 ∗, S.K. Nandy2 1Department of Mathematics, Visva-Bharati, Santiniketan , India. 2Department of Mathematics, A.K.P.C Mahavidyalaya, Bengai, Hooghly , India. (Received 3 March , accepted 4 June.

of three-dimensional separated flow may be deepened by placing Le­ gendre's hypothesis within a framework broad enough to include the no­ tions of topological structure, structural stability, and bifurcation. Bearing a stagnation point on a forward-facing surface, such as the nose of a body. A two-dimensional approximation of the Navier-Stokes equations illustrates a specific instance of transition from Lagrangian to Eulerian turbulence. As the Reynolds number (Re) increases, the system describing the dynamics of the velocity field undergoes a transition from steady state to a limit cycle. At this point the flow displays chaotic advection—i.e., manifolds intersect transversely.

fluid with a mean flow varying horizontally and vertically. In case of Boussinesq approximation Howard's and Rayleigh's theorem are extended for three-dimensional disturbances in a fluid with a mean flow varying only with respect to the latitude. Keywords: Atmospheric waves, stability, Howard's theorem, shear flow. 1. INTRODUCTION. Stagnation Properties and Mach Number • Rewrite stagnation properties in terms of Mach number for thermally and calorically perfect gases • Stagnation Temperature – from energy conservation: no work but flow work and adiabatic R T γ γ− =+ v2 2 1 o M2 2 1 1 T T γ− =+ (VI.6) 1 o M2 2 1 1 p p γ− γ γ− = + (VI.7) T RT To γ γ.


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Stability of a non-orthagonal stagnation flow to three dimensional disturbances Download PDF EPUB FB2

Get this from a library. Stability of a non-orthagonal stagnation flow to three dimensional disturbances. [D G Lasseigne; Thomas L Jackson; Institute for Computer Applications in Science and Engineering.]. Stability of a nonorthogonal stagnation flow to three-dimensional disturbances Article (PDF Available) in Theoretical and Computational Fluid Dynamics 3(4) March with 23 Reads.

Get this from a library. Stability of a non-orthagonal stagnation flow to three dimensional disturbances. [D G Lasseigne; Thomas L Jackson; Institute. It is found that when considering the disturbance energy, the planar stagnation-point flow, which is independent of one of the transverse coordinates, represents a neutrally stable flow whereas the.

J. Dorrepal, “ An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation point flow in two dimensions,” J. Fluid Mech. (). Google Scholar Crossref; 6. Lasseigne and T. Jackson, “ Stability of nonorthogonal stagnation flow to three dimensional disturbances,” Theor.

by: 2. Lasseigne, D.G. & Jackson, T.L., “Stability of a Non-Orthognal Stagnation Flow to Three Dimensional Disturbances.” Journal of Theoretical and Computational Fluid Dynamics (to appear).Author: D. Lasseigne, T. Jackson. The linear stability of the resulting basic flow to three-dimensional disturbances are then analyzed.

By using a proper scaling, it is found that the stability problem is governed by a modified Grashof number and therefore the stability characteristics can be reduced to those occurring in Hiemenz flow over a heated horizontal plate.

Stability of a nonorthogonal stagnation flow to three-dimensional disturbances Theoretical and Computational Fluid Dynamics, Vol. 3, No. 4 Temperature Effects on the Instability of.

Stability of a nonorthogonal stagnation flow to three-dimensional disturbances. Lasseigne Book Series; Protocols; Reference Works; Proceedings; Other Sites. ; Stability of a nonorthogonal stagnation flow to three-dimensional disturbances.

Lasseigne. Lasseigne and T. Jackson, “ Stability of a non-orthognal stagnation flow to three dimensional disturbances,” Theoret. gated along the direction of the main flow. Squire [60 ] has shown that three-dimen-sional wavy disturbances are more stable than two-dimensional ones.

However, Prandtl still mentions the possibility of greater instability of three-dimensional dis-turbances in. Görtler, H. Three dimensional instability of the plane stagnation flow with respect to vortical disturbance.

In Fifty Years of Boundary Layer Research (ed. Görtler, H. The hybrid nanofluid under the influence of magnetohydrodynamics (MHD) is a new interest in the industrial sector due to its applications, such as in solar water heating and scraped surface heat exchangers.

Thus, the present study accentuates the analysis of an unsteady three-dimensional MHD non-axisymmetric Homann stagnation point flow of a hybrid Al2O3-Cu/H2O nanofluid with stability. Stability of a Non-orthogonal Stagnation Flow to Three Dimensional Disturbances Oral Presentation presented at Program of the Division of Fluid Dynamics.

Lasseigne, D. (August, ). Activation Energy Asymptotics and Shear Band Formation Oral Presentation presented at Explomet ’90, La Jolla, Ca. Lasseigne, D. (July, ). the three-dimensional flow is given in Hall and Malik (). It is the purpose of this paper to explore the effects of density variations on a two-dimensional non- orthogonal, stagnation flow and then to study its stability to three dimensional disturbances.

In Section 2, a. We present a purely analytic solution to the steady three-dimensional viscous stagnation point flow of second grade fluid over a heated flat plate moving with some constant speed.

The analytic solution is obtained by a newly developed analytic technique, namely, homotopy analysis method. Non-orthogonal stagnation point flow, defined by the existence of U1;V1D0 and W1D0, has independently been rediscovered in a space of 30 years by Stuart (), Tamada () and Dorrepaal (), and will be referred to as STD flow in what follows.

Non-orthogonal stagnation-line flow arises on account of three non-zero free. The linear-stability theory of plane stagnation-point flow against an infinite flat plate is re-examined. Disturbances are generalized from those of Görtler type to include other types of variations along the plate.

It is shown that Hiemenz flow is linearly stable and that. strain rate of the stagnation-point flow to that of the stretching surface is equal to unity. By removing this highly restrictive assumption (b 1), Mahapatra and Gupta [3] analyzed the steady two-dimensional orthogo-nal stagnation-point flow of an incompressible viscous fluid to-wards a stretching surface in the general case b 1.

They observed. In this article, an axisymmetric three-dimensional stagnation point flow of a nanofluid on a moving plate with different slip constants in two orthogonal directions in the presence of uniform magnetic field has been considered. The magnetic field is considered along the axis of the stagnation point flow.

The governing Naiver–Stokes equation, along with the equations of nanofluid for three. Dorrepaal, J. M. An exact solution of the Navier–Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions. J. Fluid Mech.–   In this paper, the problem of normal impingement rotational stagnation-point flow on a radially permeable stretching sheet in a viscous fluid, recently studied in a very interesting paper, is.study of the stability of two-dimensional parallel flows in an inviscid fluid is usually Necessary conditions for the existence of a disturbance.

a) If the flow possesses a self-excited or neutral mode of disturbance with finite C. C. LIN [Vol. Ill, No. 3 disturbance is the one with c = A. Then the equation of disturbance () reduces.