Flow of Liquid Metal Past a Porous Flat Plate

1960 ◽  
Vol 27 (4) ◽  
pp. 749-750
Author(s):  
G. Horvay
Keyword(s):  
Boundary Layer ◽  
Temperature Distribution ◽  
Liquid Metal ◽  
Flat Plate ◽  
Approximation Formula ◽  
Boundary Layer Approximation ◽  
Simple Boundary ◽  
Porous Flat Plate

A simple boundary-layer approximation formula is derived for the temperature distribution in liquid metal which flows past a porous flat plate at zero incidence at velocity U and is sucked into it at velocity V.

On the flow near the trailing edge of a flat plate

1968 ◽  
Vol 306 (1486) ◽  
pp. 275-290 ◽  
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Governing Equations ◽  
Trailing Edge ◽  
Navier Stokes Equations ◽  
Multiplicative Constant ◽  
Boundary Layer Approximation ◽  
Uniform Shear

It is shown that the boundary layer approximation to the flow of a viscous fluid past a flat plate of length l , generally valid near the plate when the Reynolds number Re is large, fails within a distance O( lRe -3/4 ) of the trailing edge. The appropriate governing equations in this neighbourhood are the full Navier- Stokes equations. On the basis of Imai (1966) these equations are linearized with respect to a uniform shear and are then completely solved by means of a Wiener-Hopf integral equation. The solution so obtained joins smoothly on to that of the boundary layer for a flat plate upstream of the trailing edge and for a wake downstream of the trailing edge. The contribution to the drag coefficient is found to be O ( Re -3/4 ) and the multiplicative constant is explicitly worked out for the linearized equations.

scholarly journals Boundary Layer Theory: New Analytical Approximations with Error and Lambert Functions for Flat Plate without/with Suction

Aerodynamics ◽  
2021 ◽  
Author(s):  
Chedhli Hafien ◽  
Adnen Bourehla ◽  
Mounir Bouzaiane
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Boundary Layer Suction ◽  
Analytical Approximations ◽  
Approximate Integral ◽  
Porous Flat Plate ◽  
Analytical Expressions ◽  
Approximate Integral Method ◽  
Lambert Functions ◽  
Theoretical Results

In this work, we investigated the problem of the boundary layer suction on a flat plate with null incidence and without pressure gradient. There is an analytical resolution using the Bianchini approximate integral method. This approximation has been achieved by Lambert or Error functions for boundary layer profiles with uniform suction, even in the case without suction. Based on these new laws, we brought out analytical expressions of several boundary layer features. This gives a necessary data to suction effect modeling for boundary layer control. To recommend our theoretical results, we numerically studied the boundary layer suction on a porous flat plate equipped with trailing edge flap deflected to 40°. We showed that this flap moves the stagnation point on the upper surface, resulting to avoid the formation of the laminar bulb of separation. Good agreement was obtained between the new analytical laws, the numerical results (CFD Fluent), and the literature results.

scholarly journals A Study of a Flame in the Boundary Layer on a Porous Flat Plate

1975 ◽  
Vol 18 (120) ◽  
pp. 612-618
Author(s):  
Katsuhiko Hojoh ◽  
Takeshi Satoh
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Porous Flat Plate

Some Effects of Variable Surface Temperature on Heat Transfer to a Partially Porous Flat Plate

1973 ◽  
Vol 95 (4) ◽  
pp. 319-325 ◽  
Author(s):  
D. A. Nealy
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Flat Plate ◽  
Porous Wall ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Variable Surface ◽  
Porous Flat Plate ◽  
Axial Heat ◽  
Thermodynamic Coupling

Based on a simple enthalpy thickness approach, results are presented for laminar and turbulent heat transfer to a partially porous, nonisothermal flat plate. The model employed accounts for thermodynamic coupling between the boundary layer and porous wall heat transfer problems, and is expanded to include consideration of axial heat conduction along the wall. The results indicate that partial injection can be expected to produce a highly nonisothermal surface, which in turn causes the external Stanton number distribution to differ markedly from that predicted previously for assumed isothermal wall conditions. The boundary layer prediction technique is shown to be in reasonably good agreement with recent analytical and experimental results reported in the literature.

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