Two dimensional turbulent boundary layer with favorable pressure gradients: similarity type solution of momentum equation

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dc.contributor.advisorDukler, A. E.
dc.contributor.committeeMemberFlumerfelt, Raymond W.
dc.contributor.committeeMemberWorley, Frank L., Jr.
dc.contributor.committeeMemberDalton, Charles
dc.creatorBullin, Jerry Allen
dc.date.accessioned2022-10-28T16:25:55Z
dc.date.available2022-10-28T16:25:55Z
dc.date.issued1970
dc.description.abstractThe turbulent boundary layer momentum equation was solved by using similarity variables to transform the partial differential equation into a more manageable form. Contrary to the case for laminar boundary layers, this equation contained a term involving streamwise derivatives which was not negligible. Thus, a method to estimate the streamwise term was devised. A modification of an eddy viscosity distribution for pipe flow due to Gill and Sher was used to eliminate the Reynolds' shear stresses. The modified Gill and-Sher equation was used for the so-called inner region of the boundary layer while the eddy viscosity was assumed constant in the outer region. Although the eddy viscosity distribution was not representative of the flow for adverse pressure gradients, it was quite satisfactory for zero and favorable pressure gradients involving fully developed turbulent flow. As a consequence of the eddy viscosity distribution, unacceptable results were acquired for adverse pressure gradient cases. The present method was evaluated for zero and favorable pressure gradients by comparing the results with three different flows under various conditions. Good agreement was observed in all cases for the local and average skin friction coefficients and velocity profiles. Except for one boundary layer involving nonequilibrium flows, good results were obtained for the displacement and momentum thicknesses. One of the major advantages of the present method was that a minimum of input information was required. That is, for any given boundary layer, only the approach velocity and the streamwise pressure gradient were needed.
dc.description.departmentChemical and Biomolecular Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13650348
dc.identifier.urihttps://hdl.handle.net/10657/12386
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleTwo dimensional turbulent boundary layer with favorable pressure gradients: similarity type solution of momentum equation
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Engineering
thesis.degree.departmentChemical Engineering, Department of
thesis.degree.disciplineChemical Engineering
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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