This paper presents results from theoretical and numerical studies of a single-phase, temperature sensitive magnetic fluid operating under steady-state laminar flow conditions in a partially heated thermomagnetic circulation loop under the influence of an external magnetic field (created by a solenoid). A one-dimensional theoretical model has been developed using scaling arguments to characterize thermomagnetic circulation in this loop in terms of the geometric length scales, magnetic fluid properties, and the strength of the imposed magnetic field. In parallel to this theoretical analysis, supporting numerical simulations using Comsol Multiphysics simulation software have been undertaken to obtain data for use in this 1D model. Comparison between experimental data and numerical simulation results and also a grid sensitivity analysis was carried out to validate the numerical simulation. A correlation for the nondimensional heat transfer (Nusselt number) as a function of the appropriate magnetic Rayleigh number and a correlation for the mass flow rate based on the system's properties are developed.
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September 2014
This article was originally published in
Journal of Heat Transfer
Research-Article
A Nondimensional Analysis to Characterize Thermomagnetic Convection of a Temperature Sensitive Magnetic Fluid in a Flow Loop
Giti Karimi-Moghaddam,
Giti Karimi-Moghaddam
1
Department of Mechanical and
Aerospace Engineering,
e-mail: gkarimi@ncsu.edu
Aerospace Engineering,
North Carolina State University
,Raleigh, NC 27695
e-mail: gkarimi@ncsu.edu
1Corresponding author.
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Richard D. Gould,
Richard D. Gould
Department of Mechanical and
Aerospace Engineering,
e-mail: gould@ncsu.edu
Aerospace Engineering,
North Carolina State University
,Raleigh, NC 27695
e-mail: gould@ncsu.edu
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Subhashish Bhattacharya
Subhashish Bhattacharya
Department of Electrical and
Computer Engineering,
e-mail: sbhatta4@ncsu.edu
Computer Engineering,
North Carolina State University
,Raleigh, NC 27695
e-mail: sbhatta4@ncsu.edu
Search for other works by this author on:
Giti Karimi-Moghaddam
Department of Mechanical and
Aerospace Engineering,
e-mail: gkarimi@ncsu.edu
Aerospace Engineering,
North Carolina State University
,Raleigh, NC 27695
e-mail: gkarimi@ncsu.edu
Richard D. Gould
Department of Mechanical and
Aerospace Engineering,
e-mail: gould@ncsu.edu
Aerospace Engineering,
North Carolina State University
,Raleigh, NC 27695
e-mail: gould@ncsu.edu
Subhashish Bhattacharya
Department of Electrical and
Computer Engineering,
e-mail: sbhatta4@ncsu.edu
Computer Engineering,
North Carolina State University
,Raleigh, NC 27695
e-mail: sbhatta4@ncsu.edu
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 25, 2013; final manuscript received June 11, 2014; published online June 27, 2014. Assoc. Editor: William P. Klinzing.
J. Heat Transfer. Sep 2014, 136(9): 091702 (7 pages)
Published Online: June 27, 2014
Article history
Received:
July 25, 2013
Revision Received:
June 11, 2014
Citation
Karimi-Moghaddam, G., Gould, R. D., and Bhattacharya, S. (June 27, 2014). "A Nondimensional Analysis to Characterize Thermomagnetic Convection of a Temperature Sensitive Magnetic Fluid in a Flow Loop." ASME. J. Heat Transfer. September 2014; 136(9): 091702. https://doi.org/10.1115/1.4027863
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