Theses and Dissertations
Date of Award
8-2020
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
First Advisor
Dr. Dambaru Bhatta
Second Advisor
Dr. Andras Balogh
Third Advisor
Dr. Paul Bracken
Abstract
We consider an incompressible, viscous fluid in a cylindrical pipe. We obtain velocity profile for both Newtonian fluid and non-Newtonian fluids such as shear-thinning, shear- thickening and Bingham plastic fluids. The flow is governed by the equation of continuity (conservation of mass) and the momentum equation. After presenting the governing system in the cylindrical coordinate system and assuming that the flow is due to the pressure drop and wall shear stress, we derive the expressions for the velocity component in the axial direction for these cases. Some computational results of the velocity profiles for various cases are presented. We will observe that and analyze the velocity profile for Newtonian fluids, as well as for shear- thinning, shear-thickening and Bingham fluids.
Recommended Citation
Sanchez, Erick, "Pipe Flow of Newtonian and Non-Newtonian Fluids" (2020). Theses and Dissertations. 771.
https://scholarworks.utrgv.edu/etd/771
Comments
Copyright 2020 Erick Sanchez. All Rights Reserved.
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