An implicit numerical solution of the turbulent three-dimensional incompressible boundary-layer equations

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dc.contributor.authorKlinksiek, William Fredericken
dc.contributor.committeechairPierce, Felix J.en
dc.contributor.committeememberJones, J. B.en
dc.contributor.committeememberWood, Henry L.en
dc.contributor.committeememberComparin, Robert A.en
dc.contributor.committeememberMartin, Charles K.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:11:08Zen
dc.date.adate2010-05-19en
dc.date.available2014-03-14T21:11:08Zen
dc.date.issued1971-06-05en
dc.date.rdate2010-05-19en
dc.date.sdate2010-05-19en
dc.description.abstractA method of solving the three-dimensional, incompressible turbulent boundary-layer equations was developed using a Crank-Nicholson implicit finite-difference technique, with the turbulent stress terms modeled with an eddy-viscosity model obtained from mixing length theory. The method was applied to two three-dimensional flow geometries for which experimental data exists and a comparison with this data showed excellent agreement. The complete computer program was sufficiently generalized for application to two-dimensional laminar and turbulent flows with arbitrary pressure gradients. The method was applied to several such test cases and the solutions agreed well with both theory and experiment. An analysis was presented to determine the conditions for which the finite difference equations were stable and convergent. The results of this analysis demonstrated that the equations are generally stable and convergent. However, care must be exercised when writing the finite difference approximation to the continuity equation, because certain finite difference formulations of the continuity equation can lead to an instability when the initial values for the distribution of the velocity normal to the bounding surface cannot be accurately specified.en
dc.description.degreePh. D.en
dc.format.extentxi, 145 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-05192010-020209en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05192010-020209/en
dc.identifier.urihttp://hdl.handle.net/10919/37827en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1971.K45.pdfen
dc.relation.isformatofOCLC# 39979694en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectturbulent stress termsen
dc.subject.lccLD5655.V856 1971.K45en
dc.titleAn implicit numerical solution of the turbulent three-dimensional incompressible boundary-layer equationsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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