An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature

An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature

Author: Jay M. Solomon

Publisher:

Published: 1967

Total Pages: 130

ISBN-13:

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An approximate momentum integral solution for the compressible axisymmetrix laminar boundary layer when transverse curvature effects are important is presented. Both finite and infinite inviscid Mach numbers are considered. Detailed comparisons with exact asymptotic solutions are given. The method is found, in many instances, to agree to leading order with the exact solutions as the transverse curvature becomes very large--a property that none of the existing approximate solutions for compressible flow possess. Some example calculations for a cone in supersonic and hypersonic flow are presented. Also, the method is applied to the hypersonic self-induced pressure problem for a cone. (Author).


An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature

An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature

Author: Jay M. Solomon

Publisher:

Published: 1967

Total Pages: 98

ISBN-13:

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An approximate momentum integral solution for the compressible axisymmetrix laminar boundary layer when transverse curvature effects are important is presented. Both finite and infinite inviscid Mach numbers are considered. Detailed comparisons with exact asymptotic solutions are given. The method is found, in many instances, to agree to leading order with the exact solutions as the transverse curvature becomes very large--a property that none of the existing approximate solutions for compressible flow possess. Some example calculations for a cone in supersonic and hypersonic flow are presented. Also, the method is applied to the hypersonic self-induced pressure problem for a cone. (Author).


Axisymmetric Laminar Boundary Layers with Very Large Transverse Curvature

Axisymmetric Laminar Boundary Layers with Very Large Transverse Curvature

Author: Jay M. Solomon

Publisher:

Published: 1967

Total Pages: 130

ISBN-13:

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The compressible axisymmetric laminar boundary layer is considered for very large values of the transverse curvature parameter (roughly proportional to the ratio of the Mangler value of the boundary layer displacement thickness to the local cross-sectional radius of the body). Asymptotic expansions are constructed using the method of inner-outer expansions and verified by comparison with exact numerical similarity solutions. Both finite and hypersonic Mach number inviscid flow conditions are considered. The principal results are asymptotic formulas for skin friction, heat transfer, and boundary layer displacement thickness. Existing expansions, obtained by Wei, are found to be incorrect. The viscous pressure interaction near the vertex of a pointed axisymmetric body is treated within the framework of boundary layer theory and a tangent-cone approximation. (Author).


Axisymmetric Laminar Boundary Layers with Very Large Transverse Curvature

Axisymmetric Laminar Boundary Layers with Very Large Transverse Curvature

Author: Jay M. Solomon

Publisher:

Published: 1967

Total Pages: 99

ISBN-13:

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The compressible axisymmetric laminar boundary layer is considered for very large values of the transverse curvature parameter (roughly proportional to the ratio of the Mangler value of the boundary layer displacement thickness to the local cross-sectional radius of the body). Asymptotic expansions are constructed using the method of inner-outer expansions and verified by comparison with exact numerical similarity solutions. Both finite and hypersonic Mach number inviscid flow conditions are considered. The principal results are asymptotic formulas for skin friction, heat transfer, and boundary layer displacement thickness. Existing expansions, obtained by Wei, are found to be incorrect. The viscous pressure interaction near the vertex of a pointed axisymmetric body is treated within the framework of boundary layer theory and a tangent-cone approximation. (Author).


Comparison of a First-order Treatment of Higher-order Boundary-layer Effects with Second-order Theory and Experimental Data

Comparison of a First-order Treatment of Higher-order Boundary-layer Effects with Second-order Theory and Experimental Data

Author: Clark Houston Lewis

Publisher:

Published: 1968

Total Pages: 154

ISBN-13:

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The axisymmetric nonsimilar compressible laminar boundary-layer equations including approximate transverse curvature terms were modified to treat inviscid external vorticity, slip and temperature jump as first-order quantities, and this is referred to as the first-order treatment. The effects of boundary-layer displacement were also treated. Primary interest was in predicting experimentally measurable quantities over the entire body length of nonanalytic shapes, and the analysis was not confined to the nose or stagnation region. A review is included of second-order boundary-layer theory and of recent developments in the numerical solution of second-order boundary-layer effects. Comparisons of predicted displacement-induced pressure distributions, heat-transfer distributions and zero-lift drag were made with results from second-order boundary-layer theory and experimental data for a spherically blunted 9-deg half-angle cone at free-stream Mach numbers of 9 and 18. At moderate to high Reynolds numbers, the comparisons showed good agreement between first- and second-order predictions and experimental results for drag and heat-transfer distributions; however, poor agreement was found between predicted and experimental displacement-induced pressure distributions. At low Reynolds numbers, both first- and second-order treatments substantially overpredicted the zero-lift drag. The range of applicability of the theories was established for the conditions treated by inspection of the numerical results and by comparison of the numerical results with experimental zero-lift drag data. (Author).


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports

Author:

Publisher:

Published: 1991

Total Pages: 1460

ISBN-13:

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