Keywords
Harmonic Functions
Navier-Stokes Equation
Fluid Mechanics
Laplace Equation
Abstract
This project is aimed at showing the application of potential flow in fluid mechanics. It has been shown so far in this project that for an incompressible irrotational and inviscid flow that the vorticity vector is the curl of the flow velocity it gives in a potential kind of flow. It was also demonstrated in this project that the harmonic function is a solution of the Laplace equation it gives in fluid mechanics to the potential kind of flow which is also called the irrotational flow. The irrotationality of a potential flow is due to the curl of the gradient of a scala, always being equal to zero. The flow described by this model are potential fields, the velocity potential function and the determination of the velocity component from it’s scalar function. i.e. by differentiating the stream function with respect to the given coordinates are described in this project. A description of the reduction of the equations of motion for “ideal” (irrotational incompressible and inviscid) flow to a single equation. Viz the laplace equation is provided in some details.References
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Copyright (c) 2026 Apih ThankGod Eteng, Obi N Tanu, Daniel Obono Ofem., Ekpelu, Mustapha Musa, Ehoche Edache Elijah, Odifioyi Dorcas Elijah (Author)