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For an irrotational flow; $$ curl(V) = 0$$ or $$ \nabla \times V = 0$$ It follows from vector algebra that there should be a potential such that $$ V = \nabla \phi$$ $ \phi$ is called the Velocity potential. The velocity components are related to $\phi$ through the following relations. $$ u = \frac{\partial \phi}{\partial x} , v = \frac{\partial \phi}{\partial y}, w = \frac{\partial \phi}{\parti..

Numerical methods 2023. 2. 14. 05:25

What is Fluid Turbulence? - Turbulence is a three-dimensional, unsteady, irregular condition of fluid motion. The mass, momentum and all the species fluctuate in time and space. - Due to the fluctuations, the mixing of quantities is significant, dP and the heat transfer effect more. - Statistical averages (in time) of the flow field provide meaningful information on the fluid motion. - The fluct..

Numerical methods 2023. 2. 14. 04:54

Bisection method The bisection method starts with two guesses. Such that f(g1) and f(g2) are opposite signs. At each step we take the midpoint of the two guesses. If the midpoint is zero (the guesses are the same) or if the guesses are sufficiently close to one another, Return the midpoint. If f(midpoint) 0, replace the upper bound ..

Numerical methods 2022. 9. 20. 08:11