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.
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For the full publication, please contact the author directly at: mainasarafariat48@gmail.com
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Institutions
- AVE-MARIA UNIVERSITY, PIYANKO, NASARAWA STATE 1
- Babcock University, Ilishan-Remo, Ogun State 7
- Bamidele Olumilua University of Edu. Science and Tech. Ikere Ekiti, Ekiti State 455
- Bauchi State College of Agriculture, Bauchi, Bauchi State 1
- Bauchi State University, Gadau, Bauchi State 16
- Bayelsa State Polytechnic, Aleibiri, Bayelsa State 13
- Bayero University, Kano, Kano State 587
- Benue State Polytechnic, Ugbokolo, Benue State 10
- Benue State University, Makurdi, Benue State 47
- Bingham University, Karu, Nasarawa State 3