Lecture

Bernoulli's Theorem: Applications and Conservation Laws

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

In course

PHYS-108: General physics : fluids and electromagnetism

Le cours couvre deux grands chapitres de la physique: l'étude des fluides et l'électromagnétisme. Une introduction aux ondes est également faite pour pouvoir étudier les solutions des équations de l'hydrodynamique et des équations de Maxwell. ...

Description

This lecture covers Bernoulli's theorem and its applications in fluid dynamics, focusing on pressure variation with section, perfect fluid behavior, and streamlines. It also discusses conservation laws, such as the conservation of mass and energy, and the Venturi tube principle. The instructor explains the dynamic and static pressures, the role of friction, and the derivation of Bernoulli's equation from the principles of continuity and Euler. The lecture concludes with practical examples and the significance of Bernoulli's theorem in understanding fluid flow.

Instructor

Christian Gabriel Theiler

Christian Theiler obtained his Master’s degree in physics from ETH Zurich in 2007 and his PhD from EPFL in 2011. He then joined MIT as a postdoctoral associate to work on the Alcator C-Mod tokamak. In 2014, he returned to EPFL as a EUROfusion fellow, to join the TCV tokamak team. Two years later, he was named Tenure Track Assistant Professor in Plasma Physics at EPFL. Christian’s research focuses on tokamak boundary physics and related diagnostic techniques. He has contributed to the understanding of the formation, propagation, and control of turbulent plasma structures, called blobs, and gained new insights on the structure of transport barriers in the plasma periphery in different high-confinement regimes. His current research focuses on detachment physics and turbulence characteristics in conventional and alternative divertor magnetic geometries.

Official source

Ontological neighbourhood

Physics

Mechanics: Fluid mechanics

Related concepts (31)

Conservation of mass

In physics and chemistry, the law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as the system's mass cannot change, so the quantity can neither be added nor be removed. Therefore, the quantity of mass is conserved over time. The law implies that mass can neither be created nor destroyed, although it may be rearranged in space, or the entities associated with it may be changed in form.

Conservation law

In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of mass-energy, conservation of linear momentum, conservation of angular momentum, and conservation of electric charge. There are also many approximate conservation laws, which apply to such quantities as mass, parity, lepton number, baryon number, strangeness, hypercharge, etc.

Fluid mechanics

Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion.

Pressure measurement

Pressure measurement is the measurement of an applied force by a fluid (liquid or gas) on a surface. Pressure is typically measured in units of force per unit of surface area. Many techniques have been developed for the measurement of pressure and vacuum. Instruments used to measure and display pressure mechanically are called pressure gauges, vacuum gauges or compound gauges (vacuum & pressure). The widely used Bourdon gauge is a mechanical device, which both measures and indicates and is probably the best known type of gauge.

Pressure head

In fluid mechanics, pressure head is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column on the base of its container. It may also be called static pressure head or simply static head (but not static head pressure). Mathematically this is expressed as: where is pressure head (which is actually a length, typically in units of meters or centimetres of water) is fluid pressure (i.e. force per unit area, typically expressed in pascals) is the specific weight (i.

Related lectures (64)

Conservation Laws and Bernoulli Equation

Covers conservation laws in fluid dynamics, including the Venturi effect and Bernoulli equation.

Fluid Mechanics: Concepts and Applications

Covers key concepts in fluid mechanics, historical experiments, forces, pressure variation, and practical applications like hydraulic lifts.

Fluid Mechanics: Bernoulli's Equation and Applications

Discusses Bernoulli's equation and its applications in fluid mechanics, including practical examples like pitot tubes and venturi meters.

Introduction to Free Convection: Governing Equations

Explores free convection, laminar flow boundary layer equations, and heat transfer principles.

Fluid Statics: Fundamentals