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dc.contributor.advisorMehrotra, Anil Kumar
dc.contributor.authorPatience, Gregory S. (Gregory Scott), 1961-
dc.date.accessioned2005-07-21T21:45:28Z
dc.date.available2005-07-21T21:45:28Z
dc.date.issued1987
dc.identifier.citationPatience, G. S. (1987). Numerical solutions for laminar forced convection and fluid flow in pipes (Unpublished master's thesis). University of Calgary, Calgary, AB. doi:10.11575/PRISM/23131en_US
dc.identifier.urihttp://hdl.handle.net/1880/23816
dc.descriptionBibliography: p. 73-75.en
dc.description.abstractThe phenomenological equations of continuity, momentum and energy for laminar flow in a tube are solved using a fully implicit finite difference technique. A novel "four point staggered grid" system is developed in which the primary variables of axial and radial velocity, pressure and temperature are positioned at different places in each grid block. Furthermore, nodal points are located in the regions of highest velocity and temperature gradients, i.e. at the entrance and wall. A mass balance error of 0.05% is obtained with five radial blocks under Poiseuillian flow condi­tions. A similar uneven distribution for time is applied to unsteady state problems. Numerical results for the Graetz constant property problem, Szymanski start-up problem and Boussinesq entrance region problem for Newtonian fluids are in excellent agreement with analytical and experimental results. Subsequently, non-Newtonian steady and unsteady flow in the entrance region of tubes as well as laminar forced convection for variable viscosity fluids using three viscosity-temperature models are examined. Comparisons are made to resolve some of the differences between the existing correlations for friction factor and Nusselt number in the developed as well as developing regions. Pressure discontinuities in the entrance region are reported and transient phenomena in this region are described for both Newtonian and non­Newtonian fluids.
dc.format.extentxiv, 76 leaves : ill. ; 30 cm.en
dc.language.isoeng
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.titleNumerical solutions for laminar forced convection and fluid flow in pipes
dc.typemaster thesis
dc.publisher.institutionUniversity of Calgaryen
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/23131
thesis.degree.nameMaster of Science
thesis.degree.nameMS
thesis.degree.nameMSc
thesis.degree.disciplineChemical and Petroleum Engineering
thesis.degree.grantorUniversity of Calgary
dc.publisher.placeCalgaryen
ucalgary.thesis.notesoffsiteen
ucalgary.thesis.uarcreleaseyen
ucalgary.item.requestcopytrue
ucalgary.thesis.accessionTheses Collection 58.002:Box 632 520541702


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University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.