An application of relaxation methods to transonic nozzle flow

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dc.contributor.authorWalsh, Kevin Eugeneen
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:41:22Zen
dc.date.adate2010-07-28en
dc.date.available2014-03-14T21:41:22Zen
dc.date.issued1974en
dc.date.rdate2010-07-28en
dc.date.sdate2010-07-28en
dc.description.abstractAn application of relaxation techniques to the solution of transonic flow in a converging - diverging nozzle is presented. The assumptions of steady, isentropic flow of a perfect gas were made. Successive line relaxation, similar to that of Garabedian and Korn, was employed in a transformed computational plane. The potential function at interior points was obtained column by column through repeated application of the Thomas algorithm. Once the interior-point calculations were complete the values of the potential function on the boundaries were obtained by extrapolation using the wall-tangency and centerline-symmetry conditions where appropriate. A final solution was considered obtained when negligible changes were observed in the Mach number at all flow-field points from one iteration to the next. To determine the accuracy of the method, the flow through a hyperbolic converging - diverging nozzle was calculated and the results were compared with an existing solution obtained by a series expansion method. The calculated lines of constant Mach number were in excellent agreement with the series expansion solution. The time required for this solution was faster than time-dependent and error-minimization-type solutions by more than a factor of four even though no attempt was made to optimize the computational efficiency of the program logic.en
dc.description.degreeMaster of Scienceen
dc.format.extent44 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-07282010-020109en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07282010-020109/en
dc.identifier.urihttp://hdl.handle.net/10919/43932en
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1974.W37.pdfen
dc.relation.isformatofOCLC# 38995235en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1974.W37en
dc.titleAn application of relaxation methods to transonic nozzle flowen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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