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
solving fluid problem bernoulli navier stoke equations
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