INTRODUCTION TO THREE-DIMENSIONAL BOUNDARY LAYERS
The basic concept of a three-dimensional boundary layer is reviewed from both physical and mathematical viewpoints. Emphasis is placed on the various causes of secondary flow, particularly geodesic curvature of the surface streamlines of inviscid flow. Various exact solutions for steady, incompressi...
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| description | The basic concept of a three-dimensional boundary layer is reviewed from both physical and mathematical viewpoints. Emphasis is placed on the various causes of secondary flow, particularly geodesic curvature of the surface streamlines of inviscid flow. Various exact solutions for steady, incompressible laminar flow are reexamined, a proposal for a finite-difference scheme for arbitrary inviscid flows and surface conditions is sketched, and the momentum-integral method and other approximation schemes are briefly discussed. Also considered are compressibility effects, laminar-flow stability, transition to turbulence, displacement thickness of a three-dimensional boundary layer, and the incompressible turbulent boundary layer. It is concluded that very successful three-parameter models of mean velocity profiles exist, but methods for predicting the variation of the profile parameters are essentially deficient. |
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| fullrecord | <record><control><sourceid>dtic_1RU</sourceid><recordid>TN_cdi_dtic_stinet_AD0668753</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>AD0668753</sourcerecordid><originalsourceid>FETCH-dtic_stinet_AD06687533</originalsourceid><addsrcrecordid>eNrjZDD09AsJ8ncJdQ7x9PdTCPFXCPEIcnXVdfH0dfULBgo5-ig4-Yf6uTgGRSr4OEa6BgXzMLCmJeYUp_JCaW4GGTfXEGcP3ZSSzOT44pLMvNSSeEcXAzMzC3NTY2MC0gD9GiQJ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>report</recordtype></control><display><type>report</type><title>INTRODUCTION TO THREE-DIMENSIONAL BOUNDARY LAYERS</title><source>DTIC Technical Reports</source><creator>Sherman, Frederick S</creator><creatorcontrib>Sherman, Frederick S ; RAND CORP SANTA MONICA CA</creatorcontrib><description>The basic concept of a three-dimensional boundary layer is reviewed from both physical and mathematical viewpoints. Emphasis is placed on the various causes of secondary flow, particularly geodesic curvature of the surface streamlines of inviscid flow. Various exact solutions for steady, incompressible laminar flow are reexamined, a proposal for a finite-difference scheme for arbitrary inviscid flows and surface conditions is sketched, and the momentum-integral method and other approximation schemes are briefly discussed. Also considered are compressibility effects, laminar-flow stability, transition to turbulence, displacement thickness of a three-dimensional boundary layer, and the incompressible turbulent boundary layer. It is concluded that very successful three-parameter models of mean velocity profiles exist, but methods for predicting the variation of the profile parameters are essentially deficient.</description><language>eng</language><subject>Aerodynamics ; BOUNDARY LAYER ; BOUNDARY LAYER TRANSITION ; BOUNDARY VALUE PROBLEMS ; COMPRESSIBLE FLOW ; CROSS FLOW ; EQUATIONS OF MOTION ; FLOW SEPARATION ; Fluid Mechanics ; GEODESICS ; INCOMPRESSIBLE FLOW ; INVISCID FLOW ; LAMINAR FLOW ; MOMENTUM ; SECONDARY FLOW ; SKIN FRICTION ; STABILITY ; STREAMLINES ; THREE DIMENSIONAL FLOW ; TOPOLOGY ; TURBULENCE ; VORTICES</subject><creationdate>1968</creationdate><rights>Approved for public release; distribution is unlimited.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,776,881,27546,27547</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/AD0668753$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Sherman, Frederick S</creatorcontrib><creatorcontrib>RAND CORP SANTA MONICA CA</creatorcontrib><title>INTRODUCTION TO THREE-DIMENSIONAL BOUNDARY LAYERS</title><description>The basic concept of a three-dimensional boundary layer is reviewed from both physical and mathematical viewpoints. Emphasis is placed on the various causes of secondary flow, particularly geodesic curvature of the surface streamlines of inviscid flow. Various exact solutions for steady, incompressible laminar flow are reexamined, a proposal for a finite-difference scheme for arbitrary inviscid flows and surface conditions is sketched, and the momentum-integral method and other approximation schemes are briefly discussed. Also considered are compressibility effects, laminar-flow stability, transition to turbulence, displacement thickness of a three-dimensional boundary layer, and the incompressible turbulent boundary layer. It is concluded that very successful three-parameter models of mean velocity profiles exist, but methods for predicting the variation of the profile parameters are essentially deficient.</description><subject>Aerodynamics</subject><subject>BOUNDARY LAYER</subject><subject>BOUNDARY LAYER TRANSITION</subject><subject>BOUNDARY VALUE PROBLEMS</subject><subject>COMPRESSIBLE FLOW</subject><subject>CROSS FLOW</subject><subject>EQUATIONS OF MOTION</subject><subject>FLOW SEPARATION</subject><subject>Fluid Mechanics</subject><subject>GEODESICS</subject><subject>INCOMPRESSIBLE FLOW</subject><subject>INVISCID FLOW</subject><subject>LAMINAR FLOW</subject><subject>MOMENTUM</subject><subject>SECONDARY FLOW</subject><subject>SKIN FRICTION</subject><subject>STABILITY</subject><subject>STREAMLINES</subject><subject>THREE DIMENSIONAL FLOW</subject><subject>TOPOLOGY</subject><subject>TURBULENCE</subject><subject>VORTICES</subject><fulltext>true</fulltext><rsrctype>report</rsrctype><creationdate>1968</creationdate><recordtype>report</recordtype><sourceid>1RU</sourceid><recordid>eNrjZDD09AsJ8ncJdQ7x9PdTCPFXCPEIcnXVdfH0dfULBgo5-ig4-Yf6uTgGRSr4OEa6BgXzMLCmJeYUp_JCaW4GGTfXEGcP3ZSSzOT44pLMvNSSeEcXAzMzC3NTY2MC0gD9GiQJ</recordid><startdate>196804</startdate><enddate>196804</enddate><creator>Sherman, Frederick S</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>196804</creationdate><title>INTRODUCTION TO THREE-DIMENSIONAL BOUNDARY LAYERS</title><author>Sherman, Frederick S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_AD06687533</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1968</creationdate><topic>Aerodynamics</topic><topic>BOUNDARY LAYER</topic><topic>BOUNDARY LAYER TRANSITION</topic><topic>BOUNDARY VALUE PROBLEMS</topic><topic>COMPRESSIBLE FLOW</topic><topic>CROSS FLOW</topic><topic>EQUATIONS OF MOTION</topic><topic>FLOW SEPARATION</topic><topic>Fluid Mechanics</topic><topic>GEODESICS</topic><topic>INCOMPRESSIBLE FLOW</topic><topic>INVISCID FLOW</topic><topic>LAMINAR FLOW</topic><topic>MOMENTUM</topic><topic>SECONDARY FLOW</topic><topic>SKIN FRICTION</topic><topic>STABILITY</topic><topic>STREAMLINES</topic><topic>THREE DIMENSIONAL FLOW</topic><topic>TOPOLOGY</topic><topic>TURBULENCE</topic><topic>VORTICES</topic><toplevel>online_resources</toplevel><creatorcontrib>Sherman, Frederick S</creatorcontrib><creatorcontrib>RAND CORP SANTA MONICA CA</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Sherman, Frederick S</au><aucorp>RAND CORP SANTA MONICA CA</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>INTRODUCTION TO THREE-DIMENSIONAL BOUNDARY LAYERS</btitle><date>1968-04</date><risdate>1968</risdate><abstract>The basic concept of a three-dimensional boundary layer is reviewed from both physical and mathematical viewpoints. Emphasis is placed on the various causes of secondary flow, particularly geodesic curvature of the surface streamlines of inviscid flow. Various exact solutions for steady, incompressible laminar flow are reexamined, a proposal for a finite-difference scheme for arbitrary inviscid flows and surface conditions is sketched, and the momentum-integral method and other approximation schemes are briefly discussed. Also considered are compressibility effects, laminar-flow stability, transition to turbulence, displacement thickness of a three-dimensional boundary layer, and the incompressible turbulent boundary layer. It is concluded that very successful three-parameter models of mean velocity profiles exist, but methods for predicting the variation of the profile parameters are essentially deficient.</abstract><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | DTIC Technical Reports |
| subjects | Aerodynamics BOUNDARY LAYER BOUNDARY LAYER TRANSITION BOUNDARY VALUE PROBLEMS COMPRESSIBLE FLOW CROSS FLOW EQUATIONS OF MOTION FLOW SEPARATION Fluid Mechanics GEODESICS INCOMPRESSIBLE FLOW INVISCID FLOW LAMINAR FLOW MOMENTUM SECONDARY FLOW SKIN FRICTION STABILITY STREAMLINES THREE DIMENSIONAL FLOW TOPOLOGY TURBULENCE VORTICES |
| title | INTRODUCTION TO THREE-DIMENSIONAL BOUNDARY LAYERS |
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