University of Illinois Urbana-Champaign

Mathematical modeling of flow control using magnetic fluid and field

Bhattacharjee, Pratik; Riahi, Daniel N.

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https://hdl.handle.net/2142/337

Description

Title
Mathematical modeling of flow control using magnetic fluid and field
Author(s)
  • Bhattacharjee, Pratik
  • Riahi, Daniel N.
Issue Date
2005-12
Abstract
In this paper some previous studies related to those for the flow control aspects of the hydrodynamics of magnetic fluid and field are reviewed first and recent mathematical approaches for the corresponding systems of the partial differential equations are discussed. Next, mathematical modeling of a two-fluid system, with one fluid being a non-conducting ferrofluid and another fluid being a regular non-ferrofluid, is considered. A numerical method is used to solve the mathematical system for the problem, which, in particular, captures the flow structure in the two-fluid system. The convective flow velocities and the heat fluxes were determined for various values of the parameters of the problem. Certain aspects of the magnetic fluids and fields were found to be useful for convective flow control, which is important in many application areas including microgravity space applications. In particular, under some conditions, the surface force that can exist at the interface between the two fluid zones, was found to reduce the magnitude of the flow velocity and instabilities that may occur in the two-fluid system.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 1079, (2005)
ISSN
0073-5264
Type of Resource
text
Language
en
Permalink
http://hdl.handle.net/2142/337
Copyright and License Information
Copyright owned by Pratik Bhattacharjee and Daniel N. Riahi

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.