Sentence examples for by the continuity equation from inspiring English sources

Interventions: Intraoperative AVA was measured by the continuity equation using the DE technique (DE/TEE) and by planimetry (PL/TEE).

Once a converged solution is obtained, one of the velocity equations can be removed from the system and replaced by the continuity equation and a "conservative" solution is obtained by using the previous solution as a starting estimate for Newton's method with only a few additional iterations.

This observation is expressed by the continuity equation as ∂ t I = − d i v j (5).

Then by the continuity equation (19) 1 and the formula of variable substitution (18), we have Dϱ Dt = − γ div v − μγϱ div v, (53).

Potential theory is based on the assumption of an irrotational flow of an ideal fluid (i.e. inviscid and incompressible, expressed by the continuity equation, (nabla cdotoverset{lower0.5emhbox{$smash{scriptscriptstylerightharpoonup}$}} {u} = 0)).

The incompressible turbulent flow with steady operation in three dimensions and heat transfer characteristic in the spirally semicircle-grooved tube are governed by the continuity equation, the Navier-Stokes equation, and energy equation.

A photoreactor design equation for the decomposition of gaseous TCE by the UV/TiO2 process in air streams was developed by combining the continuity equation of the pollutant and the surface catalysis reaction rate expression.

It is shown that the method allows a larger CFL number and reduces the computing cost without loss of accuracy by satisfying the continuity equation only at the last sub-step.

An alternative description of the dynamics of (1)–(2) when (N=infty) is given by writing the continuity equation governing the evolution of the probability density of θs, (p(theta,t)) [26].

By using the continuity equation (partial _{t} n + c,partial _{j}(nu_{j})) the latter can be rewritten as partial _{t} u_{i} + cu_{j}, partial _{j} u_{i} pmfrac{2c}{e} u_{i} ^{perp} u_{j}^{perp},partial _{j}V = 0 (60) which is decoupled from the continuity equation for n.

The valve area can be measured by using the continuity equation or the planimetric method.