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
- Ekiti State University 58
- Ekiti State University, Ado-Ekiti, Ekiti State 881
- Elizade University, Ilara-Mokin, Ondo State 100
- Emmanuel Alayande College of Education, Oyo. (affl To Ekiti State Univ) 2
- Enugu State Polytechnic, Iwollo, Enugu State 4
- Enugu State University of Science and Technology, Enugu, Enugu State 29
- Evangel University, Akaeze, Ebonyi State 2
- FCT COLLEGE OF EDUCATION, ZUBA ,( AFFILIATED TO ABU, ZARIA), FCT-ABUJA 5
- Federal College of Agricultural Produce Tech, Hotoro Gra Ext, Kano, Kano State 2
- Federal College of Educ. (Special), Oyo, Oyo State (Aff To Uni. Ibadan) 10