SOLUTION OF THE GENERAL BOUNDARY-LAYER EQUATIONS FOR COMPRESSIBLE LAMINAR FLOW, INCLUDING TRANSVERSE CURVATURE

1963 ◽  
Author(s):  
Darwin W. Clutter ◽  
A. M. Smith
Keyword(s):  
Boundary Layer ◽  
Laminar Flow ◽  
General Boundary ◽  
Boundary Layer Equations ◽  
Transverse Curvature

Three-Dimensional Boundary-Layer Flow About an Ablating Slender Cone

1969 ◽  
Vol 91 (4) ◽  
pp. 632-648 ◽  
Author(s):  
T. K. Fannelop ◽  
P. C. Smith
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Cone Angle ◽  
Three Dimensional ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Boundary Layer Equations ◽  
Transverse Curvature ◽  
Dimensional Boundary ◽  
Layer Flow

A theoretical analysis is presented for three-dimensional laminar boundary-layer flow about slender conical vehicles including the effect of transverse surface curvature. The boundary-layer equations are solved by standard finite difference techniques. Numerical results are presented for hypersonic flow about a slender blunted cone. The influences of Reynolds number, cone angle, and mass transfer are studied for both symmetric flight and at angle-of-attack. The effects of transverse curvature are substantial at the low Reynolds numbers considered and are enhanced by blowing. The crossflow wall shear is largely unaffected by transverse curvature although the peak velocity is reduced. A simplified “channel flow” analogy is suggested for the crossflow near the wall.

The heated laminar vertical jet

1967 ◽  
Vol 29 (2) ◽  
pp. 305-315 ◽  
Author(s):  
R. S. Brand ◽  
F. J. Lahey
Keyword(s):  
Boundary Layer ◽  
Temperature Distribution ◽  
Laminar Flow ◽  
Prandtl Number ◽  
Exact Solutions ◽  
Two Dimensional ◽  
Boundary Layer Equations ◽  
Prandtl Numbers ◽  
Vertical Jet ◽  
Steady Laminar

The boundary-layer equations for the steady laminar flow of a vertical jet, including a buoyancy term caused by temperature differences, are solved by similarity methods. Two-dimensional and axisymmetric jets are treated. Exact solutions in closed form are found for certain values of the Prandtl number, and the velocity and temperature distribution for other Prandtl numbers are found by numerical integration.

scholarly journals Ferromagnetic Flow of Viscous Fluid in a Slot between Fixed Surfaces of Revolution

2016 ◽  
Vol 23 (4) ◽  
pp. 99-104 ◽  
Author(s):  
Sawicki Jerzy
Keyword(s):  
Boundary Layer ◽  
Laminar Flow ◽  
Viscous Fluid ◽  
Coordinate System ◽  
Axial Symmetry ◽  
Surfaces Of Revolution ◽  
Orthogonal Coordinate System ◽  
Boundary Layer Equations ◽  
Axis Of Symmetry ◽  
Steady Laminar

Abstract In this paper the steady laminar flow of viscous incompressible ferromagnetic fluid is considered in a slot between fixed surfaces of revolution having a common axis of symmetry. The boundary layer ferromagnetic equations for axial symmetry are expressed in terms of the intrinsic curvilinear orthogonal coordinate system x, θ ,y.The method of perturbation is used to solve the boundary layer equations. As a result, the formulae defining such parameters of the flow as the velocity components vx, vy, and the pressure , were obtained.

The laminar boundary-layer equations II. Integration of non-linear ordinary differential equations

1948 ◽  
Vol 192 (1031) ◽  
pp. 567-575 ◽  
Keyword(s):  
Boundary Layer ◽  
Laminar Flow ◽  
Differential Equations ◽  
Two Dimensions ◽  
Boundary Layer Problem ◽  
Linear Ordinary Differential Equations ◽  
Boundary Layer Equations ◽  
Non Linear ◽  
Independent Variable ◽  
Linear Differential

The aim of this paper is to find particular integrals of non-linear differential equations which satisfy certain boundary conditions and tend exponentially to zero at infinity. The equations arise in connexion with the problem of integration of the equations of laminar flow in two dimensions. The paper consists of two parts. In the first part the equation / " '+ / / ' = A ( 1 - /'2) is discussed, where A is generally a known parameter, and the primes denote deviations with respect to the independent variable, x. This is the well-known Falkner & Skan’s (1930) equation. It was derived in connexion with the solution of the boundary-layer problem for a particular distribution of the velocity outside the boundary layer. It appears, however, that this equation is of far more fundamental importance in the problem of laminar flow, although, of course, A has a different meaning in the general case than it has in Falkner & Skan’s treatment.

An Approximate Method for the Solution of a Class of Nonsimilar Laminar Boundary Layer Equations

1976 ◽  
Vol 98 (2) ◽  
pp. 292-296 ◽  
Author(s):  
G. Nath
Keyword(s):  
Boundary Layer ◽  
Velocity Distribution ◽  
Approximate Method ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flows ◽  
Freestream Velocity ◽  
Boundary Layer Equations ◽  
Transverse Curvature ◽  
Layer Velocity ◽  
Good Agreement

An approximate method is developed for locally nonsimilar laminar boundary layer flows. This method is applicable to several boundary layer velocity problems where the nonsimilarity stems from the freestream velocity distribution and the transverse curvature. The results are compared with those obtained by other methods and, except in the neighborhood of the point of separation, they are in good agreement.

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