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Lecture

Dimensional Analysis & Modelling

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 concept of dimensional analysis, focusing on the Buckingham Pi-theorem and the determination of dimensionless pi-terms. It also explores examples such as drag on a sphere, flow in an inclined open channel, and pressure drop across a constriction. The importance of modeling in predicting physical system behavior is discussed, along with the theory of models and design conditions for similarity requirements. Gravitational effects in open channel flow are highlighted, emphasizing the need for Froude number similarity. The lecture concludes with practical examples and considerations for experimental model experiments.

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

Related concepts (32)

Gravitational wave

Gravitational waves are waves of the intensity of gravity that are generated by the accelerated masses of an orbital binary system, and propagate as waves outward from their source at the speed of light. They were first proposed by Oliver Heaviside in 1893 and then later by Henri Poincaré in 1905 as waves similar to electromagnetic waves but the gravitational equivalent. Gravitational waves were later predicted in 1916 by Albert Einstein on the basis of his general theory of relativity as ripples in spacetime.

Gravitational redshift

In physics and general relativity, gravitational redshift (known as Einstein shift in older literature) is the phenomenon that electromagnetic waves or photons travelling out of a gravitational well (seem to) lose energy. This loss of energy corresponds to a decrease in the wave frequency and increase in the wavelength, known more generally as a redshift. The opposite effect, in which photons (seem to) gain energy when travelling into a gravitational well, is known as a gravitational blueshift (a type of blueshift).

Gravitational field

In physics, a gravitational field is a model used to explain the influences that a massive body extends into the space around itself, producing a force on another massive body. Thus, a gravitational field is used to explain gravitational phenomena, and is measured in newtons per kilogram (N/kg). Equivalently, it is measured in meters per second squared (m/s2). In its original concept, gravity was a force between point masses.

Gravitational constant

The gravitational constant (also known as the universal gravitational constant, the Newtonian constant of gravitation, or the Cavendish gravitational constant), denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity. In Newton's law, it is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and the inverse square of their distance.

Gravitational time dilation

Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events as measured by observers situated at varying distances from a gravitating mass. The lower the gravitational potential (the closer the clock is to the source of gravitation), the slower time passes, speeding up as the gravitational potential increases (the clock getting away from the source of gravitation). Albert Einstein originally predicted this effect in his theory of relativity and it has since been confirmed by tests of general relativity.

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