Mathematical Analysis Of Herschel-Bulkley Fluid Model For Solute Dispersion In Blood Flow Through Narrow Conduits

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dc.contributor.authorJaafar, Nurul Aini
dc.date.accessioned2019-08-01T06:38:07Z
dc.date.available2019-08-01T06:38:07Z
dc.date.issued2017-02
dc.description.abstractThe dispersion of solute play an important role in many chemical engineering, biomedical engineering and environmental sciences applications. The main interest of this study is the dispersion of solute (medicine) in blood (solvent) flow. An appropriate mathematical model is required to investigate the dispersion of solute in blood flow. In this study, the dispersion of solute in a blood flow is analyzed mathematically by treating the blood as a Herschel-Bulkley (H-B) fluid model through narrow conduits, namely, a circular pipe and a channel between two parallel flat plates. The steady dispersion of solute in blood flow without/with the presence of a chemical reaction between the solute and blood are considered. Then, the study is extended to investigate the unsteady dispersion of solute with chemical reaction. Finally, the unsteady dispersion of solute with irreversible absorption of solute to the wall tissues and reversible phase exchange between fluid and wall is studied using the generalized dispersion model. The resulting system of nonlinear differential equations is solved analytically to get the shear stress, yield stress and normalized velocity of the blood. The expressions for the concentration of solute, effective axial diffusivity, relative axial diffusivity, dispersion function, phase exchange, longitudinal convection and dispersion coefficients are obtained. The effects of yield stress, power-law index, chemical reaction rate parameter, wall absorption parameter, Péclet number, Damköhler number and phase partition coefficient are discussed through appropriate graphs and tables. It is seen that the normalized velocity of blood and the effective axial diffusivity decrease as the yield stress and power-law index increase.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8553
dc.language.isoenen_US
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectMathematical analysis of Herschel-Bulkley fluid modelen_US
dc.subjectsolute dispersion in blood flowen_US
dc.titleMathematical Analysis Of Herschel-Bulkley Fluid Model For Solute Dispersion In Blood Flow Through Narrow Conduitsen_US
dc.typeThesisen_US
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