Ferrofluid Heat Transfer in a Model 2D Transformer

This problem is used as a model problem that has similarities to an electical transfomer. Energy is generated in the windings and heats the surrounding fluid, causing natural convection. This convection is enhanced when the fluid is a ferrofluid and there is a magnetic field gradient. The enhancement happens because the magnetization of the ferroparticles depends on temperature. The work was done by Suzanne Snyder and Bruce A. Finlayson at the University of Washington under sponsorship of Energy International, Inc. and EPRI .

Problem Statement and Finite Element Mesh (Part Expanded)

Heat is generated in solid regions marked Q; fluid is contained in rest of region

Regular oil: See the velocity vectors, streamlines, and temperature contours of various cases for the usual oil:

- One-dimensional case
- Conduction only
- Grashof No. = 1, Pr = 63.6, Ra = 63.6
- Grashof No. = 100, Pr = 63.6, Ra = 6,360
- Grashof No. = 10,000, Pr = 63.6, Ra = 6.36e5
- Grashof No. = 250,000, Pr = 63.6, Ra = 1.59e7

Ferrofluid: See the velocity vectors, streamlines, and temperature contours of various cases for a ferrofluid:

Main Page :::Heat Transfer in Box :::Equations

Send comments to finlayson@cheme.washington.edu