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Research Papers

Solidification of Phase Change Material Nanocomposite Inside a Finned Heat Sink: A Macro Scale Model of Nanoparticles Distribution

[+] Author and Article Information
Santosh Kumar Sahoo

School of Mechanical Sciences,
IIT Bhubaneswar,
Bhubaneswar 752050, India
e-mail: ss35@iitbbs.ac.in

Prasenjit Rath

Mem. ASME
School of Mechanical Sciences,
IIT Bhubaneswar,
Bhubaneswar 752050, India
e-mail: prath@iitbbs.ac.in

Mihir Kumar Das

School of Mechanical Sciences IIT,
IIT Bhubaneswar,
Bhubaneswar 752050, India
e-mail: mihirdas@iitbbs.ac.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received November 30, 2018; final manuscript received April 15, 2019; published online May 23, 2019. Assoc. Editor: Ali J. Chamkha.

J. Thermal Sci. Eng. Appl 11(4), 041005 (May 23, 2019) (11 pages) Paper No: TSEA-18-1634; doi: 10.1115/1.4043596 History: Received November 30, 2018; Revised April 15, 2019

The present work aims at developing a heat transfer model for phase change material nanocomposite (PCMNC)-based finned heat sink to study its heat rejection potential. The proposed model is developed in line with the binary alloy formulation for smaller size nanoparticles. The present study gives a more insight into the nanoparticle distribution while the nanocomposite is undergoing phase change. The nanocomposite is placed in the gap between the fins in a finned heat sink where solidification occurs from the top and lateral sides of fins. The proposed numerical model is based on finite volume method. Fully implicit scheme is used to discretize the transient terms in the governing transport equations. Natural convection in the molten nanocomposite is simulated using the semi-implicit-pressure-linked–equations-revised (SIMPLER) algorithm. Nanoparticle transport is coupled with the energy equation via Brownian and thermophoretic diffusion. Enthalpy porosity approach is used to model the phase change of PCMNC. Scheil rule is used to compute the nanoparticle concentration in the mixture consisting of solid and liquid PCMNC. All the finite volume discrete algebraic equations are solved using the line-by-line tridiagonal-matrix-algorithm with multiple sweeping from all possible directions. The proposed numerical model is validated with the existing analytical and numerical models. A comparison in thermal performance is made between the heat sink with homogeneous nanocomposite and with nonhomogeneous nanocomposite. Finally, the effect of spherical nanoparticles and platelet nanoparticles to the solidification behavior is compared.

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Figures

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Fig. 1

(a) Schematic of the problem domain and (b) schematic for simulation of natural convection in the melt of nanocomposite

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Fig. 2

Comparison of proposed numerical simulation results with analytical solution of Hasadi and Khodadadi [45]

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Fig. 3

Comparison of concentration distribution between the proposed model and commercial software-based model of Hasadi and Khodadadi [36]

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Fig. 4

Grid sensitivity test of the proposed model

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Fig. 5

Solid fraction of nanocomposite with time

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Fig. 6

Temperature contours of (a) case-0 and (b) case-1 at τ = 0.5

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Fig. 7

Variation of average nondimensional heat flux of cases-0 and -1 at top wall with time

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Fig. 8

Evolution of solidification (blue) and natural convection flow pattern (in the molten region - red) for (a) case-0 and (b) case-1 at τ = 0.01 and for (c) case-0 and (d) case-1 at τ = 0.5, respectively

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Fig. 9

Fin axial temperature distribution for cases-0 and -1 at nondimensional time (a) 0.01 and (b) 0.5, respectively

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Fig. 10

Nanoparticles distribution of nanocomposite inside the heat sink at (a) τ = 0.01 and (b) τ = 0.5

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Fig. 11

Fin axial temperature distribution at different time levels for case-1

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Fig. 12

Isometric view of the nanoparticles distribution at τ = 0.5 in the whole domain

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Fig. 13

Transient variation of solid fraction for spherical and platelet shape nanoparticles

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Fig. 14

Transient variation in the difference of heat flux between cases-2 and -1

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