Application of the Maximum Entropy Production principle to turbulent fluid mechanics and planetary systems

Duration: 1 hour 3 mins 31 secs

Share this media item:

Embed this media item:

<iframe width="_width_" height="_height_" src="https://sms.cam.ac.uk/media/1082881/embed" frameborder="0" scrolling="no" allowfullscreen></iframe>

Choose size:

About this item

Available Formats

About this item

Description:	Niven, R (New South Wales) Friday 26 November 2010, 10:00-11:00

Created:

2010-12-06 10:20

Collection:

Mathematical and Statistical Approaches to Climate Modelling and Prediction

Publisher:

Isaac Newton Institute

Niven, R

Language:

eng (English)

Credits:

Author:	Niven, R
Producer:	Steve Greenham


Abstract:	Recently, a conditional form of the Maximum Entropy Production (MaxEP) principle was derived based on Jaynes' maximum entropy method, using an entropy defined on the fluxes through an infinitesimal element of a flow system. The analysis is analogous to Gibbs' formulation of equilibrium thermodynamics, expressing the balance between changes in entropy inside and outside a system, but is formulated for a non-equilibrium flow system. The MaxEP principle emerges as the extremum condition in some circumstances. In this seminar, a generic form of the derivation is first provided, encompassing seemingly disparate formulations of equilibrium thermodynamics, local steady-state flow and global steady-state flow (and other systems). The implications of the analysis are explored for several systems, including (i) the transition between laminar and turbulent flow in a pipe, and (ii) the modelling of planetary climate systems, including solar and extrasolar planets.

Abstract:

Recently, a conditional form of the Maximum Entropy Production (MaxEP) principle was derived based on Jaynes' maximum entropy method, using an entropy defined on the fluxes through an infinitesimal element of a flow system. The analysis is analogous to Gibbs' formulation of equilibrium thermodynamics, expressing the balance between changes in entropy inside and outside a system, but is formulated for a non-equilibrium flow system. The MaxEP principle emerges as the extremum condition in some circumstances. In this seminar, a generic form of the derivation is first provided, encompassing seemingly disparate formulations of equilibrium thermodynamics, local steady-state flow and global steady-state flow (and other systems). The implications of the analysis are explored for several systems, including (i) the transition between laminar and turbulent flow in a pipe, and (ii) the modelling of planetary climate systems, including solar and extrasolar planets.

Available Formats

Format	Quality	Bitrate	Size
MPEG-4 Video	640x360	1.84 Mbits/sec	880.89 MB	View	Download
WebM	640x360	1.01 Mbits/sec	477.48 MB	View	Download
Flash Video	484x272	568.75 kbits/sec	264.59 MB	View	Download
iPod Video	480x270	506.26 kbits/sec	235.52 MB	View	Download
MP3	44100 Hz	125.01 kbits/sec	57.96 MB	Listen	Download
Auto *	(Allows browser to choose a format it supports)