Bernoulli Equation


Also found in: Wikipedia.

Bernoulli equation

[ber‚nü·lē i′kwā·zhən]
(fluid mechanics)
(mathematics)
A nonlinear first-order differential equation of the form (dy / dx) + yf (x) = yng (x), where n is a number different from unity and f and g are given functions. Also known as Bernoulli differential equation.

Bernoulli Equation

 

a differential equation of the first order of the form

dy/dx + Py = Qyα

where P and Q are predetermined continuous functions of x and α is a constant. With the introduction of the new function z = y + 1, the Bernoulli equation is reduced to a linear differential equation with respect to z. The Bernoulli equation was considered by Jakob Bernoulli in 1695, and a method of solving it was published by Johann Bernoulli in 1697.

References in periodicals archive ?
Since there is no single physical location within the plenum at which the absolute pressure is known at this stage of the analysis, the Bernoulli Equation can only be used to establish relative pressures from cell to cell.
The mass flow rate of the melt was calculated according to Bernoulli equation to be 0.
Using the Bernoulli equation (Taraba et al, 2004), the following relationships can be derived for single regions
Model is derived by putting together mass and energy balance equations of each single tank and using Bernoulli equation for the flow from tank 1 to tank 2.
j]), is essentially the basis of conventional multizone airflow analysis--not the Bernoulli equation, as is often claimed.
Therefore, analysis of the Bernoulli equation, as it applies to fan systems, leads to the following concrete definitions.
Dependence of pressure in the muscle on muscle volume can be found with help of equation for ideal gases, Boyle-Mariotte law and Bernoulli equation (Kerscher et al.
Recovery of the static air pressure, previously [6] considered through a compressible process governed by the Bernoulli equation
According to the Bernoulli equation (not discussed in detail here because of space limitations), two gradients exist at the narrowing of the funnel-shaped tube.