hydrodynamic equations

hydrodynamic equations

[‚hī·drō·dī′nam·ik i′kwā·zhənz]
(fluid mechanics)
Three equations which express the net acceleration of a unit water particle as the sum of the partial accelerations due to pressure gradient force, frictional force, earth's deflecting force, gravitational force, and other factors.
References in periodicals archive ?
The hydrodynamic equations are normalized by introducing dimensionless parameters as follows:
There is a difference between neutron star mergers and black hole mergers; however, in that neutron star mergers involve the complex evolution of the matter hydrodynamic equations in addition to the strong gravitational field equations.
In his study, the hydrodynamic equations were derived in terms of the theory of elasticity of solids, and an analytical solution was obtained.
Maxwell's Equations (1)-(2) and hydrodynamic Equations (3)-(4) are coupled through the polarization term P, which can be expressed as the velocity
The model adopts hydrodynamic equations and boundary equations with daily data as input.
Pinnau, "A note on boundary conditions for quantum hydrodynamic equations," Applied Mathematics Letters, vol.
The assumption of constant physical properties for the solid and the air allows decoupling the hydrodynamic equations of heat equations.
To this end, the hydrodynamic equations were considered in the spirit of two fundamental approaches, the quasi-static and the lubrication approximations.
They are Alexander Kim, 17, of Fairfax, Va., who investigated the evolution of several populations of the giant American river prawn; Preya Shah, 17, of Setauket, N.Y., for designing and synthesizing a drug that uses a two-pronged approach to target cancer cells; Nilesh Tripuraneni, 18, of Fresno, Calif., who formulated a set of hydrodynamic equations investigating quark-gluon plasma, a state of matter believed to exist right after the Big Bang; and Gabriela Farfan, 18, of Madison, Wis., whose analysis of the feldspar known as Oregon sunstone revealed unique microinclusions containing zinc and copper.
The density and viscosity in the hydrodynamic equations are defined as:
we obtain the final form of the hydrodynamic equations
The code solves the three-dimensional hydrodynamic equations under the following assumptions: