Huang, D., S. Chernyshenko, P. Goulart, D. Lasagna, O. Tutty & F. Fuentes: Sum-of-squares of polynomials approach to nonlinear stability of fluid flows: an examples of application.
To illustrate the procedure of this algorithm for shape design of fluid flow, two simple examples are presented: one with fluid flowing through a right angle elbow and the other through a converging T-junction.
The complex boundary element method can also be successfully used to solve different problems, especially problems of fluid flow (see, for example, [6]).
Some of the most useful applications of the MBE require the concurrent use of fluid flow equations, for example, Darcy's equation.
Other numerical methods such as finite difference method, finite volume method and finite element method can be applied to solve problems of fluid flow (see, for example, [6]), but the obstacle needs to be placed in a grid, and so the computational effort is quite big.
Numerical examples of fluid flow in 2-D and 3-D domain including porous media and fractured porous media are presented to demonstrate the accuracy, robustness, and effectiveness of the proposed unified pipe network method.
A very slight variation in the impact of the fluid flow on the particle, for example as a result of particle-particle interaction, may cause the particle to travel in a totally different route.
The use of 3D tomographic data in subsequent simulations such as fluid flow or compression of coke are examples of the technique advancing beyond pure visualization.
For example, in a fluid flow problem the viscosity may be small, or in the problem of the motion of a projectile, the force due to air resistance may be small.
Moreover, TRP channels enable individual cells to sense changes in their local environment, for example, osmolarity and fluid flow.
