### Abstract

An Eulerian formalism is used to derive the energy equation for a system of magnetic nanoparticles in a fluid (ferrofluid) in the presence of uniform magnetic field. The energy equation proposed here contains an effective heat capacity, which has contributions from: (1) Brownian motion of nanoparticles, (2) magnetic field,(3) temperature, and (4) volume fraction of particles. The modified term quantitatively shows the negligible contribution of the first three factors but the significant effect of concentration of particles in change in heat capacity of ferrofluid. In order to have a better understanding of the problem, the equation is converted to a non dimensional form from which the role of each of physical parameters can be inferred.

Original language | English (US) |
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Title of host publication | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |

Pages | 635-644 |

Number of pages | 10 |

Volume | 6 |

Edition | PARTS A AND B |

State | Published - 2011 |

Event | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States Duration: Nov 11 2011 → Nov 17 2011 |

### Other

Other | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |
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Country | United States |

City | Denver, CO |

Period | 11/11/11 → 11/17/11 |

### Fingerprint

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011*(PARTS A AND B ed., Vol. 6, pp. 635-644)

**Effect of Brownian motion and external magnetic field on the effective heat capacity of ferrofluids.** / Mousavi Kh., Narges Susan; Kumar, Sunil; Narayanaswamy, Arvind.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011.*PARTS A AND B edn, vol. 6, pp. 635-644, ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, Denver, CO, United States, 11/11/11.

}

TY - GEN

T1 - Effect of Brownian motion and external magnetic field on the effective heat capacity of ferrofluids

AU - Mousavi Kh., Narges Susan

AU - Kumar, Sunil

AU - Narayanaswamy, Arvind

PY - 2011

Y1 - 2011

N2 - An Eulerian formalism is used to derive the energy equation for a system of magnetic nanoparticles in a fluid (ferrofluid) in the presence of uniform magnetic field. The energy equation proposed here contains an effective heat capacity, which has contributions from: (1) Brownian motion of nanoparticles, (2) magnetic field,(3) temperature, and (4) volume fraction of particles. The modified term quantitatively shows the negligible contribution of the first three factors but the significant effect of concentration of particles in change in heat capacity of ferrofluid. In order to have a better understanding of the problem, the equation is converted to a non dimensional form from which the role of each of physical parameters can be inferred.

AB - An Eulerian formalism is used to derive the energy equation for a system of magnetic nanoparticles in a fluid (ferrofluid) in the presence of uniform magnetic field. The energy equation proposed here contains an effective heat capacity, which has contributions from: (1) Brownian motion of nanoparticles, (2) magnetic field,(3) temperature, and (4) volume fraction of particles. The modified term quantitatively shows the negligible contribution of the first three factors but the significant effect of concentration of particles in change in heat capacity of ferrofluid. In order to have a better understanding of the problem, the equation is converted to a non dimensional form from which the role of each of physical parameters can be inferred.

UR - http://www.scopus.com/inward/record.url?scp=84869149508&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869149508&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84869149508

SN - 9780791854921

VL - 6

SP - 635

EP - 644

BT - ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011

ER -