Solving Fluid Flow Problem Using Bernoulli’s and Navier’s Stoke Equations
Student: Fariat Agbeke Mainasara (Project, 2025)
Department of Mathematics
University of Abuja, Abuja, Fct
Abstract
The main aim of the project is to use differential equation in real life to solve world problems. Under differential equation, Bernoulli’s equation is used to measure the pressure which is applied in fluid mechanics. We have applied Bernoulli’s equation to find the pressure to be held in pressure control valve and determined best results. Also, The Navier – Stokes equations were used to obtain the velocity profile for fluid flow problems, a laminar flow through a pipe. The velocity profiles were obtained and presented in a diagram of showing how the fluid flow through the channels. Also apply four basic conservation laws to an infinitesimally small control volume. The differential approach provides point‐by‐point details of a flow pattern as oppose to control volume technique that provide gross‐average information about the flow.
Keywords
For the full publication, please contact the author directly at: mainasarafariat48@gmail.com
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Institutions
- HASSAN USMAN KATSINA POLYTECHNIC (NCE), KATSINA, KATSINA STATE 4
- Hassan Usman Katsina Polytechnic, Katsina, Katsina State 5
- Heritage Polytechnic, Ikot Udota, Akwa Ibom State 46
- Hussaini Adamu Federal Polytechnic, Kazaure, Jigawa State 8
- Ibrahim Badamasi Babangida University, Lapai, Niger State 24
- Igbinedion University, Okada, Benin City, Edo State 2
- Ignatius Ajuru University of Education, Port Harcourt, Rivers State 8
- Imo State Polytechnic, Umuagwo, Owerri, Imo State 3
- Imo State University, Owerri, Imo State 45
- Institute of Management and Technology, Enugu, Enugu State 11