Lecture

Control volume - Reynolds Transport Theorem

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In course

BIOENG-312: Fluid mechanics (for SV)

This introductory course on fluids mechanics presents the basics concepts in fluids statics, dynamics and kinematics. ...

Description

This lecture covers the concepts of control volume and Reynolds Transport Theorem (RTT) in fluid mechanics. It explains the Eulerian and Lagrangian descriptions of flowing fluids, flow field characterization, examples of flow fields, and the application of RTT to conservation of mass. The derivation of RTT, continuity equation, and examples of compressible fluid flow are discussed in detail.

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Instructor

Nikolaos Stergiopoulos

Education MTE, Managing the Technology Enterprise Program (2000), IMD, Lausanne Ph.D. in Biomedical Engineering & Engineering Mechanics (1990) Iowa State University, Ames, Iowa. MS in Biomedical Engineering (1987) Iowa State University, Ames, Iowa. Diploma in Mechanical Engineering (1985) National Technical University of Athens. Professional Activities 2002 - present: Professor and director of LHTC 2010 - present: Founder and director of Rheon Medical SA, Préverenges, Switzerland 2008 - present: Founder and director of Antlia S.A., PSE-C, EPFL campus, Switzerland 1998 - 2007: Founder and Scientific Director of EndoArt S.A., Lausanne, Switzerland 1996 - 2002: Assistant professor at the Biomedical Engineering Laboratory, Swiss Federal Institute of Technology, Lausanne, Switzerland. 1991 - 1996: Research Associate at Swiss Federal Institute of Technology - Lausanne 1990 - 1991: Lecturer, Iowa State University

Official source

Ontological neighbourhood

Physics

Mechanics: Fluid mechanics

Related concepts (30)

Incompressible flow

In fluid mechanics or more generally continuum mechanics, incompressible flow (isochoric flow) refers to a flow in which the material density is constant within a fluid parcel—an infinitesimal volume that moves with the flow velocity. An equivalent statement that implies incompressibility is that the divergence of the flow velocity is zero (see the derivation below, which illustrates why these conditions are equivalent). Incompressible flow does not imply that the fluid itself is incompressible.

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.

Newtonian fluid

A Newtonian fluid is a fluid in which the viscous stresses arising from its flow are at every point linearly correlated to the local strain rate — the rate of change of its deformation over time. Stresses are proportional to the rate of change of the fluid's velocity vector. A fluid is Newtonian only if the tensors that describe the viscous stress and the strain rate are related by a constant viscosity tensor that does not depend on the stress state and velocity of the flow.

Eddy (fluid dynamics)

In fluid dynamics, an eddy is the swirling of a fluid and the reverse current created when the fluid is in a turbulent flow regime. The moving fluid creates a space devoid of downstream-flowing fluid on the downstream side of the object. Fluid behind the obstacle flows into the void creating a swirl of fluid on each edge of the obstacle, followed by a short reverse flow of fluid behind the obstacle flowing upstream, toward the back of the obstacle. This phenomenon is naturally observed behind large emergent rocks in swift-flowing rivers.

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