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
- Al-Hikmah University, Ilorin, Kwara State 2
- AL-ISTIQAMAH UNIVERSITY, SUMAILA, KANO STATE 1
- Al-Qalam University, Katsina, Katsina State 5
- Alex Ekwueme Federal University, Ndufu-Alike, Ebonyi State 87
- Alvan Ikoku College of Education, Imo State, (Affl To Univ of Nigera, Nsukka) 11
- Ambrose Alli University, Ekpoma, Edo State 478
- Anambra State College of Health Technology, Obosi, Anambra State 1
- Auchi Polytechnic, Auchi, Edo State 503
- Auchi Polytechnic, Auchi, Edo State. (affl To Nnamdi Azikiwe University, Awka) 3
- Audu Bako College of Agriculture Danbatta, Kano, Kano State 54