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
- Abdul-Gusau Polytechnic, Talata-Mafara, Zamfara State 3
- Abia State Polytechnic, Aba, Abia State 24
- Abia State University, Uturu, Abia State 71
- Abraham Adesanya Polytechnic, Ijebu-Igbo, Ogun State 3
- Abubakar Tafawa Balewa University, Bauchi, Bauchi State 16
- Abubakar Tatari Ali Polytechnic, Bauchi State. (affiliated To Atbu Bauchi) 1
- Achievers University, Owo, Ondo State 6
- Adamawa State University, Mubi, Adamawa State 8
- Adekunle Ajasin University, Akungba-Akoko, Ondo State 27
- Adeleke University, Ede, Osun State 1