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Research Papers

Modeling and Simulations of Laminar Mixed Convection in a Vertical Pipe Conveying Slurries of a Microencapsulated Phase-Change Material in Distilled Water

[+] Author and Article Information
David A. Scott

CANMET Energy Technology Centre—Varennes,
Natural Resources Canada,
Varennes, QC, Canada

Bantwal R. Baliga

e-mail: rabi.baliga@mcgill.ca
Heat Transfer Laboratory,
Department of Mechanical Engineering,
McGill University,
Montreal, QC, Canada

1Corresponding author.

Manuscript received April 12, 2012; final manuscript received June 22, 2012; published online December 6, 2012. Assoc. Editor: Akshai Runchal.

J. Heat Transfer 135(1), 011013 (Dec 06, 2012) (13 pages) Paper No: HT-12-1165; doi: 10.1115/1.4007670 History: Received April 12, 2012; Revised June 22, 2012

Steady, laminar, mixed convection in a straight and vertically oriented pipe conveying slurries of a microencapsulated phase-change material (MCPCM) suspended in distilled water (flowing upwards), with essentially uniform heat flux imposed on its outside surface, are considered. A cost-effective homogenous mathematical model is proposed and shown to be applicable to the aforementioned mixed convection phenomena with slurries of a sample MCPCM. Correlations for the effective properties of the sample MCPCM slurries and procedures for their implementation are presented. The energy equation, in which the latent-heat effects are handled using an effective specific heat, is cast in a form akin to that of a general advection-diffusion transport equation. Difficulties with the standard definition of bulk temperature when the specific heat of the fluid changes significantly with temperature are elaborated, and a modified bulk temperature that overcomes these difficulties is proposed. A finite volume method (FVM) was used to solve the mathematical model. The proposed model and FVM were validated by using them to solve problems involving slurries of the sample MCPCM, and comparing the results to those of a complementary experimental investigation. The numerical results compare very well with those of the complementary experimental investigation. They also demonstrate the need for optimizing the various parameters involved, if full benefits of the MCPCM slurries are to be achieved for specific applications.

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Figures

Grahic Jump Location
Fig. 1

Properties and characteristics of the sample MCPCM particles: (a) schematic of an MCPCM particle and its PCM core; (b) photomicrograph; (c) variation of effective density with temperature; and (d) variation with temperature of the effective specific heat at constant pressure during heating (melting curve) followed by cooling (freezing curve)

Grahic Jump Location
Fig. 5

Numerical results for radial distributions of (w/wav) and Θ at five different axial locations in the heated sections for Vol• =  2.69 × 10−6 m3/s, Powerin =  100 W, and ϕ = 0 (distilled water; run number 6), 10.04% (run number 12), and 20.08% (run number 18)

Grahic Jump Location
Fig. 2

Schematic illustration of the calculation domain

Grahic Jump Location
Fig. 3

Numerical (N) and experimental (E) results for axial distributions of temperature on the outer surface of the pipe in the heated sections: (a) runs 1–3; (b) runs 4–6; (c) runs 7–9; (d) runs 10–12; (e) runs 13–15; and (f) runs 16–18

Grahic Jump Location
Fig. 4

Numerical results for axial distributions of Θb and Θw,o in the heated sections for Vol•=  2.69 × 10−6 m3/s and ϕ = 0 (distilled water; run numbers 4–6), 10.04% (run numbers 10–12), and 20.08% (run numbers 16–18)

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