Pressure and Velocity Profiles over a Weir Using Potential Flow Model
Abstract
:1. Introduction
2. Governing Equation
2.1. The - Transformation
2.2. Boundary Conditions
2.2.1. Upstream and Downstream Boundaries
2.2.2. Free Surface Boundary
3. Solution Techniques
3.1. Solution of - Transformation of Laplace Equation
3.2. Velocity and Pressure Distributions
4. Results and Discussion
4.1. Flow over Gaussian Weir
4.2. Flow over Parabolic Weir
4.3. Flow over Semi-Circular Weir
5. Summary and Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Appendix B
Appendix C
Appendix C.1. Central Difference Approximation for First Derivative
Appendix C.2. Mixed Partial Derivative Approximation
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Kumar, M.R.A.; Hanmaiahgari, P.R.; Pu, J.H. Pressure and Velocity Profiles over a Weir Using Potential Flow Model. Fluids 2024, 9, 182. https://doi.org/10.3390/fluids9080182
Kumar MRA, Hanmaiahgari PR, Pu JH. Pressure and Velocity Profiles over a Weir Using Potential Flow Model. Fluids. 2024; 9(8):182. https://doi.org/10.3390/fluids9080182
Chicago/Turabian StyleKumar, M. R. Ajith, Prashanth R. Hanmaiahgari, and Jaan H. Pu. 2024. "Pressure and Velocity Profiles over a Weir Using Potential Flow Model" Fluids 9, no. 8: 182. https://doi.org/10.3390/fluids9080182