Jak określić współczynnik przepływu w metrze Venturi za pomocą równania Bernoulli'ego

Determining thee flow rate in a Venturi meter involves applicying Bernoulli 's equation to measure thee velocity of fluid flow. This methods is common use in fluid mechanics to o analyze thee flow criteria within a pipe systeme.

Uzgodnienie to Venturi Meter

A Venturi meter is a device that measures thee flow rate of a fluid by reducing thee cross- sectional area of a pipe, creating a pressure difference. This pressure difference crintes with the velocity of the the fluid, allowing calculation of thee flow rate.

Appliing Bernoulli 's Equation

Bernoulli 's equation relates thee pressure, velocity, and elevation head of a fluid at different points along a streaminale. For a Venturi meter, thee equation simplifies to compare thee pressure difference ce te e wider section and thee throat:

1; 1; FLT: 0; 0; P1 + ½ · v1 ^ 2 = P2 + ½ · v2 ^ 2

Were P1 andP2 are the pressures at te wider section andd throat, respectively, and v1 andd v2 are thee corresponding velocities.

Kalkulating Rate flow

Te volumetric flow rate (Q) can be calculated using thee velocity at te throat:

Xi1; Xi1; FLT: 0 Xi3; Xi3; Q = A2 × v2 Xi1; Xi1; FLT: 1 Xi3; Xi3;

Kiedy A2 i s te cross-sectional area of te the throat. Tu find v2, rearrange Bernoulli 's equation considering the pressure difference:

(2 ΔP / ∞)

Here, ΔP is the pressure difference (P1 - P2), and Άis the fluid density. Substituting v2 into the flow rate formula yields:

(2 ΔP / ∞)

SummaryCity in Ontario Canada

By measuring thee pressure difference ce across thee Venturi meter and knowing thee fluid density and the flow rate can be procitately determinate using Bernoulli 's equation.