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An Approximate Method for Calculation of the Laminar Boundary Layer with Suction for Bodies of Arbitrary Shape

An Approximate Method for Calculation of the Laminar Boundary Layer with Suction for Bodies of Arbitrary Shape
Author: Hermann Schlichting
Publisher:
Total Pages: 92
Release: 1949
Genre: Aerodynamics
ISBN:

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Summary: a method of approximation for calculation of the laminar boundary layer with suction for arbitrary body contour and arbitrary distribution of the suction quantity along the contour and arbitrary distribution of the suction quantity along the contour of the body in the flow is developed. The method is related to the well-known Pohlhausen method for calculation of the laminar boundary layer without suction. The calculation requires the integration of a differential equation of the first order according to the isocline method. The method is applied to several special cases for which there also exist, in part, exact solutions: Plate in longitudinal flow and plane stagnation point flow with homogeneous suction. Furthermore the circular cylinder and symmetrical Joukowsky profile with homogeneous suction were calculated as examples.


An Approximate Method for Calculation of the Laminar Boundary Layer with Suction for Bodies of Arbitrary Shape

An Approximate Method for Calculation of the Laminar Boundary Layer with Suction for Bodies of Arbitrary Shape
Author: H. Schlichting
Publisher: BiblioGov
Total Pages: 90
Release: 2013-06
Genre:
ISBN: 9781289078317

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Various ways were tried recently to decrease the friction drag of a body in a flow; they all employ influencing the boundary layer. One of them consists in keeping the boundary layer Laminar by suction; promising tests have been carried out. Since for large Reynolds numbers the friction drag of the laminar boundary layer is much lower than that of the turbulent boundary layer, a considerable saving in drag results from keeping the boundary layer laminar, even with the blower power required for suction taken into account. The boundary layer is kept laminar by suction in two ways: first, by reduction of the thickness of the boundary layer and second, by the fact that the suction changes the form of the velocity distribution so that it becomes more stable, in a manner similar to the change by a pressure drop. There by the critical Reynolds number of the boundary layer (USigma*/V) (sub crit) becomes considerably higher than for the case without suction. This latter circumstance takes full effect only if continuous suction is applied which one might visualize realized through a porous wall. Thus the suction quantities required for keeping the boundary layer laminar become so small that the suction must be regarded as a very promising auxiliary means for drag reduction.


Calculation of the Turbulent Boundary Layer with Continuously Distributed Suction

Calculation of the Turbulent Boundary Layer with Continuously Distributed Suction
Author: W. Pechau
Publisher:
Total Pages: 14
Release: 1960
Genre: Aerofoils
ISBN:

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A method for calculating the characteristic values of the turbulent boundary layer with suction is given. The method is based on an approximate solution of the momentum- and energy-integral equations of the boundary layer. It is applicable to arbitrary continuous distributions of both potential velocity and suction velocity. The assumptions for the shearing stress at the wall and the turbulen dissipation are taken from the theory of the turbulent boundary layer without suction in a slightly modified form by introducing a not yet specified function of the suction velocity. The calculation yields the momentum thickness and a shape factor which is regarded as a criterion for the position of the point of separation. Soutions in closed form are obtained for the flat plate at zero incidence with homogeneous suction and for boundary layer flows with similar velocity profiles (similar solutions). It is demonstrated by numerical examples that in order to avoid separation on the upper side of an aerofoil it is more economic to concentrate suction on a small region near the pressure minimum than to extend it over a larger area. (Author).