TITLE:
Solving Navier-Stokes with Maclaurin Series
AUTHORS:
Gabriele Martino
KEYWORDS:
Navier-Stokes, Momentum, Continuity, Differential Equation, Maclaurin, Polynomial
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.4,
April
29,
2022
ABSTRACT: In this paper I propose a method for founding solutions of Navier-Stokes equations. Purpose of the research is to solve equations giving form to relations between pressure, velocity and stream. Starting from the fact we do not know the form of functions we give a general representation in Maclaurin Series and prove that with reasonable values of parameters, representation holds and therefore has meaning in continuum. Then we solve the system of equations with respect to the pressure and match equations relation between parameters: matches of equations are possible because of the physical dimensions of equations. Then values of Continuity Equation are verified. The result is a polynomial finite and that coincides with the function in continuum, or is anyway one of its representation. The result under hydrostatic condition returns Stevino formula.