Calculation Of Laminar Separation With Free Interaction By The Method Of Integral Relations Pt 1 Two Dimensional Supersonic Adiabatic Flow PDF Download

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Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations

Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations
Author: Jack Norman Nielsen
Publisher:
Total Pages: 92
Release: 1966
Genre: Aerodynamic heating
ISBN:

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"A calculative method is presented for determining separated, laminar, boundary-layer characteristics from in front of the separation point to the reattachment point under the influence of 'free interaction' between the main flow and the boundary layer. The analysis covers supersonic flow over two-dimensional and axisymmetric configurations with adiabatic or nonadiabatic wall conditions. For nonadiabatic wall conditions, theories based on first-order coupling and second-order coupling between velocity and total temperature profiles were presented. The theory based on first-order coupling was included in a machine calculation program with options for two-dimensional or axisymmetric flow and adiabatic or nonadiabatic wall conditions. Extensive systematic calculations were made to determine the range of possible separated flows over a two-dimensional configuration as a function of separation point location and wall temperatures. Comparison between experiment and theory for separation pressure distributions on two-dimensional or axisymmetric adiabatic configurations shows generally good agreement. Good comparison between experiment and theory is indicated for a moderately-cooled axisymmetric configuration. For a highly-cooled axisymmetric configuration, the prediction of the machine program based on first-order coupling is inadequate, indicating the necessity for a higher-order coupling theory." -- page iii.


Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Pt. 2. Two-dimensional Supersonic Nonadiabatic Flow and Axisymmetric Supersonic Adiabatic and Nonadiabatic Flows

Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Pt. 2. Two-dimensional Supersonic Nonadiabatic Flow and Axisymmetric Supersonic Adiabatic and Nonadiabatic Flows
Author: Jack N. Nielsen
Publisher:
Total Pages:
Release: 1966
Genre:
ISBN:

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Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Part I. Two-dimensional Supersonic Adiabatic Flow

Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Part I. Two-dimensional Supersonic Adiabatic Flow
Author: Jack N. Nielsen
Publisher:
Total Pages: 121
Release: 1965
Genre:
ISBN:

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Methods are presented for calculating the laminar boundary-layer flow through separation to reattachment under the influence of a prescribed pressure gradient or, in the case of a supersonic main stream, under the influence of 'free interaction' between the boundary layer and the main flow. The present method is based on the Dorodnitsyn method of integral relations and uses a rational velocccity profile which accounts properly for the separation singularity. As a result, the possibility of higher approximations is inherent in the method. The calculated solution for free interaction goes smoothly through the separation point and is in good agreement with certain features of the Navier-Stokes solution in the neighborhood of separation. Good agreement is exhibited between experimental and calculated pressure distributions up to reattachment for the several cases for which the comparisons were made. A computer program based on the work was prepared for two-dimensional flow. It is planned to continue the work to cover nonadiabatic boundary layers and axisymmetric bodies. (Author).


Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Part Ii. Two-dimensional Supersonic Nonadiabatic Flow and Axisymmetric Supersonic Adiabatic and Nonadiabatic Flows

Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Part Ii. Two-dimensional Supersonic Nonadiabatic Flow and Axisymmetric Supersonic Adiabatic and Nonadiabatic Flows
Author: Jack N. NIELSEN
Publisher:
Total Pages: 91
Release: 1966
Genre:
ISBN:

Download Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations. Part Ii. Two-dimensional Supersonic Nonadiabatic Flow and Axisymmetric Supersonic Adiabatic and Nonadiabatic Flows Book in PDF, ePub and Kindle

A alculative method is presented for determining separated, laminar, boundary-layer characteristics from in front of the separation point to the reattachment point under the influence of 'free interaction' between the main flow and the boundary layer. The analysis covers supersonic flow over two-dimensional and axisymmetric configurations with adiabatic or nonadiabatic wall conditions. For nonadiabatic wall conditions, theories based on first-order coupling and second-order coupling between velocity and total temperature profiles were presented. The theory based on first-order coupling was included in a machine calculation program with options for two-dimensional or axisymmetric flow and adiabatic or nonadiabatic wall conditions. Extensive systematic calculations were made to determine the range of possible separated flows over a two-dimensional configuration as a function of separation point location and wall temperatures. Comparison between experiment and theory for separation pressure distributions on two -dimensional or axisymmetric adiabatic configurations shows generally good agreement. (Author).


NASA Technical Note

NASA Technical Note
Author:
Publisher:
Total Pages: 892
Release: 1974
Genre: Aeronautics
ISBN:

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Inhibition of Flow Separation at High Speed

Inhibition of Flow Separation at High Speed
Author: Larry L. Lynes
Publisher:
Total Pages: 72
Release: 1969
Genre: Aerodynamics, Supersonic
ISBN:

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The method of integral relations was successfully applied to compressible nonadiabatic turbulent boundary layers on a flat plate. The theory is designed to accept any desired eddy-viscosity model. A particular eddy-viscosity model was incorporated into the method, and the equations were programmed for application to a flat plate with no pressure gradient. The variations of the skin-friction coefficient with Reynolds number, Mach number, and temperature ratio were calculated using this program, and the results are in good accord with similar results calculated by the Spalding-Chi method and the Rubesin T' method. An analysis was made to predict to what extent turbulent separation of the free-interaction type can be inhibited by means of surface cooling. It was observed experimentally that free-interaction is applicable to separated turbulent boundary layers up to the separation point or beyond. The free-interaction model used in the analysis is based on adding the boundary-layer displacement thickness to the actual body dimensions in calculating the induced pressures. The critical temperature ratios calculated on this basis are generally greater than adiabatic wall temperature except in the supersonic range up to a Mach number approaching 3, where moderate cooling is required to inhibit separation.