Analytical and Numerical Solutions of a Generalized Hyperbolic Non-Newtonian Fluid Flow

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dc.contributor.authorPakdemirli, M
dc.contributor.authorSari, P
dc.contributor.authorSolmaz, B
dc.date.accessioned2024-07-18T11:47:01Z
dc.date.available2024-07-18T11:47:01Z
dc.description.abstractThe generalized hyperbolic non-Newtonian fluid model first proposed by Al-Zahrani [J. Petroleum Sci. Eng. 17, 211 (1997)] is considered. This model was successfully applied to some drilling fluids with a better performance in relating shear stress and velocity gradient compared to power-law and the Hershel-Bulkley model. Special flow geometries namely pipe flow, parallel plate flow, and flow between two rotating cylinders are treated. For the first two cases, analytical solutions of velocity profiles and discharges in the form of integrals are presented. These quantities are calculated by numerically evaluating the integrals. For the flow between two rotating cylinders, the differential equation is solved by the Runge-Kutta method combined with shooting. For all problems, the power-law approximation of the model is compared with the generalized hyperbolic model, too.
dc.identifier.issn0932-0784
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/3174
dc.language.isoEnglish
dc.publisherVERLAG Z NATURFORSCH
dc.subjectBOUNDARY-LAYER EQUATIONS
dc.subjectCHEMICAL-REACTION
dc.subject2ND-GRADE FLUID
dc.subjectMAXWELL FLUID
dc.subjectMASS-TRANSFER
dc.subjectPOROUS PLATE
dc.subjectGRADE FLUID
dc.subjectVISCOSITY
dc.subjectSURFACE
dc.subjectCHANNEL
dc.titleAnalytical and Numerical Solutions of a Generalized Hyperbolic Non-Newtonian Fluid Flow
dc.typeArticle

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