Research Papers: Forced Convection

A Nondimensional Analysis to Characterize Thermomagnetic Convection of a Temperature Sensitive Magnetic Fluid in a Flow Loop

[+] Author and Article Information
Giti Karimi-Moghaddam

Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
Raleigh, NC 27695
e-mail: gkarimi@ncsu.edu

Richard D. Gould

Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
Raleigh, NC 27695
e-mail: gould@ncsu.edu

Subhashish Bhattacharya

Department of Electrical and
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 136(9), 091702 (Jun 27, 2014) (7 pages) Paper No: HT-13-1370; doi: 10.1115/1.4027863 History: Received July 25, 2013; Revised June 11, 2014

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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Grahic Jump Location
Fig. 1

Schematic diagram for the rectangular thermomagnetic circulation loop

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Fig. 2

Schematic layout of the thermomagnetic circulation flow loop used in the experimental examinations

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Fig. 3

Comparison between experimental and numerical results for the ferrofluid temperatures in upstream (US) and DS of the heat source section

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Fig. 4

Contour of the centerline fluid temperature

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Fig. 5

Contour and vectors of the centerline fluid velocity

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Fig. 6

Dependence of Reynolds number on product of the magnetic Grashof number and diameter to length of the flow loop tube

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Fig. 7

Dependence of Nusselt number on magnetic Rayleigh number



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