2011
DOI: 10.1119/1.3533216
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Understanding Bernoulli’s principle through simulations

Abstract: Computer simulations are used to develop a deeper understanding of Bernoulli’s principle. Hard disks undergoing elastic collisions are injected into a Venturi nozzle and the pressure in the narrow throat of the nozzle is compared to the pressure in the wider section of the pipe. This model system is an ideal student project because the theory and programming are straightforward, and the computational cost is low.

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Cited by 27 publications
(12 citation statements)
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“…The swollen side has a more tremendous flow rate due to being squeezed by air than the other side. According to Bernoulli's principle [17], the higher the velocity, the lower the pressure, so the pressure difference between the two sides will generate a force F perpendicular to the sail. The force F is decomposed into the forces F A , F B .…”
Section: Description Of Hrf and Kinetic Model A Description Of Hrfmentioning
confidence: 99%
“…The swollen side has a more tremendous flow rate due to being squeezed by air than the other side. According to Bernoulli's principle [17], the higher the velocity, the lower the pressure, so the pressure difference between the two sides will generate a force F perpendicular to the sail. The force F is decomposed into the forces F A , F B .…”
Section: Description Of Hrf and Kinetic Model A Description Of Hrfmentioning
confidence: 99%
“…The major difference between the designed system in this study and the other studies is the varying crosssectional area in the system. The reduction in cross sectional area helps increasing the velocity of air while passing through the system and reduces the pressure [16]. The purpose of this is to increase the amount of air getting in contact with the cold surface.…”
Section: System Integrationmentioning
confidence: 99%
“…Taking into account the terms h v = v 2 /2 g , ψ = P / γ f , and z elevation = z are the velocity head (represents the internal energy of the fluid due to its motion (or dynamic pressure), expressed as a length measurement), pressure head (represents the internal energy of the fluid due to the exerted hydrostatic pressure, expressed as a length measurement), and elevation head (represents the potential energy of the fluid due to its elevation with respect to a reference plane, expressed as a length measurement), respectively, a simple relationship can be obtained for incompressible fluids as follows : zelevation+hv+ψ=C …”
Section: Mathematical Backgroundmentioning
confidence: 99%
“…Within the scope the present study, water drainage problem (a special case of the Bernoulli's principle, which is one of the most fundamental topics in Fluid Mechanics course) was chosen as an example application for the proposed IMECE method. This model system is an ideal student application, since the theory and programming are straightforward, as well as the experimental and computational costs are inexpensive . In the following subsections, three different tank geometries (vertical cylindrical, conical, and spherical) were considered for the problem of water discharge time, and the solution equations for each system were obtained by writing the continuity equation for the corresponding flow system.…”
Section: Mathematical Backgroundmentioning
confidence: 99%