Numerical investigation of the three-dimensional laminar boundary layer with coupled heat transfer

1988 ◽  
Vol 29 (2) ◽  
pp. 189-196 ◽  
Author(s):  
V. I. Zinchenko ◽  
O. P. Fedorova
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Numerical Investigation ◽  
Laminar Boundary Layer ◽  
Three Dimensional ◽  
Coupled Heat Transfer

A three-dimensional laminar boundary-layer calculation

1967 ◽  
Vol 28 (4) ◽  
pp. 769-792 ◽  
Author(s):  
W. H. H. Banks
Keyword(s):  
Boundary Layer ◽  
Boundary Conditions ◽  
Saddle Point ◽  
Numerical Investigation ◽  
Laminar Boundary Layer ◽  
Three Dimensional ◽  
Outer Edge ◽  
Developable Surface ◽  
Governing Equations ◽  
Independent Variables

Results are presented of a preliminary numerical investigation into a three-dimensional laminar boundary layer. It is assumed that the flow is over a developable surface and the boundary conditions at the outer edge of the layer are chosen to be u = U0 + xU1, v = yV1. This choice enables the governing equations to be written in terms of two, and not three, independent variables, viz. x and z. However, the three-dimensionality of the problem gives rise to a coupling of the equations which, not unnaturally, is still present after the elimination of y.For appropriate values of U1 and V1 it is found possible to integrate the equations approximately from the ‘birth’ of the boundary layer (x = 0) right up to a saddle point of attachment. Calculations have already been made for flow at such attachment points and the comparison of the present results with them is extremely good.

The asymptotic form of the laminar boundary-layer mass-transfer rate for large interfacial velocities

1962 ◽  
Vol 12 (3) ◽  
pp. 337-357 ◽  
Author(s):  
Andreas Acrivos
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Mass Transfer ◽  
Laminar Boundary Layer ◽  
Mass Transfer Rate ◽  
Three Dimensional ◽  
Main Stream ◽  
Boundary Layer Equations ◽  
Asymptotic Expressions ◽  
General Systems

The convective diffusion of matter from a stationary object to a moving fluid stream is distinct from pure heat transfer because of the appearance of a finite interfacial velocity at the solid surface. This velocity is related to the rate of mass transfer by a dimensionless groupBin such a way that for −1 <B< 0 the transfer is from the bulk to the surface while for 0 <B< ∞ the transfer is from the surface to the main stream. In this paper, asymptotic solutions to the two-dimensional laminar boundary-layer equations are developed for the caseB[Gt ] 1, and for rather general systems. It is shown that in most instances the asymptotic expressions for the rate of mass transfer become accurate whenB> 3 and that the transition region between the pure heat-transfer analogy (B∼ 0) and theB[Gt ] 1 asymptote may be described by a simple graphical interpolation. These results may easily be extended to three-dimensional surfaces of revolution by the usual co-ordinate transformations of boundary-layer theory.

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