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Bernoulli Venturi Tube

About this simulation

Bernoulli Venturi Tube is an interactive 3D fluid-dynamics simulation showing how flow speed and static pressure trade off inside a constricted pipe. Students drag the glowing throat collar to change the constriction diameter D_2, adjust inlet velocity v_1 and fluid density rho, and fire dye pulses through the stream. Three vertical manometer tubes mounted at the inlet, throat, and outlet display the static pressure head in real time, illustrating both the continuity equation (A_1 v_1 = A_2 v_2) and Bernoulli's equation (P_1 + 1/2 rho v_1² = P_2 + 1/2 rho v_2²).

What students can explore

  • Drag the orange throat collar inward to reduce Throat diameter D_2 from 15 cm to 9 cm and watch the tracer particles surge faster through the neck.
  • Compare the middle manometer column P_2 against the inlet column P_1 as throat speed v_2 increases, confirming that higher flow speed creates lower static pressure.
  • Double the Inlet speed v_1 with the slider and verify that the Pressure drop delta P quadruples because dynamic pressure scales with v².
  • Press Dye pulse to highlight a packet of fluid particles and observe how they stretch apart in the fast throat and compress again in the outlet diffuser.
  • Increase Fluid density rho from 700 kg/m³ to 1400 kg/m³ and observe how the pressure drop delta P scales proportionally with density.

Learning objectives

  1. 1Use the continuity equation A_1 v_1 = A_2 v_2 to calculate how pipe diameter affects fluid velocity.
  2. 2Apply Bernoulli's principle to explain why static pressure drops where fluid speed increases.
  3. 3Calculate the Venturi pressure drop delta P = 1/2 rho (v_2² - v_1²) from inlet and throat speeds.
  4. 4Interpret vertical manometer column heights as direct measurements of local static pressure.

Questions teachers ask

Why does fluid speed up when the Venturi pipe gets narrower?

Because an incompressible fluid cannot pile up or leave gaps, the same volume of fluid Q must pass through every cross-section each second (A_1 v_1 = A_2 v_2). When the cross-sectional area A shrinks in the throat, the flow speed v must increase proportionally.

Why does static pressure drop in the narrow throat instead of rising?

By conservation of mechanical energy (Bernoulli's principle), accelerating a parcel of fluid into the throat requires net work from behind, which means the fluid pushes with higher static pressure in the wide inlet than in the fast-moving throat.

How sensitive is the throat velocity to the throat diameter?

Cross-sectional area is proportional to diameter squared (A = pi D² / 4), so halving the throat diameter quarters the area and makes the fluid travel four times faster.

Where are Venturi tubes used in real engineering?

Venturi tubes are used in flowmeters to measure pipeline flow rates from pressure difference, in carburetors and atomizers to draw fuel or paint into an airstream, and in aspirator pumps.

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