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Research Papers: Heat and Mass Transfer

Heat Transfer and Entropy Generation Characteristics of a Non-Newtonian Fluid Squeezed and Extruded Between Two Parallel Plates

[+] Author and Article Information
P Kaushik

Department of Mechanical Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, India

Pranab Kumar Mondal

Department of Mechanical Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, India;
Department of Mechanical Engineering,
Indian Institute of Technology Guwahati,
Guwahati 781039, India

Sukumar Pati

Department of Mechanical Engineering,
National Institute of Technology Silchar,
Silchar 788010, India
e-mail: sukumarpati@gmail.com

Suman Chakraborty

Fellow ASME
Department of Mechanical Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, India
e-mail: suman@mech.iitkgp.ernet.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 12, 2015; final manuscript received July 21, 2016; published online November 2, 2016. Assoc. Editor: Milind A. Jog.

J. Heat Transfer 139(2), 022004 (Nov 02, 2016) (9 pages) Paper No: HT-15-1335; doi: 10.1115/1.4034898 History: Received May 12, 2015; Revised July 21, 2016

This study investigates the unsteady heat transfer and entropy generation characteristics of a non-Newtonian fluid, squeezed and extruded between two parallel plates. In an effort to capture the underlying thermo-hydrodynamics, the power-law model is used here to describe the constitutive behavior of the non-Newtonian fluid. The results obtained from the present analysis reveal the intricate interplay between the fluid rheology and the squeezing dynamics, toward altering the Nusselt number and Bejan number characteristics. Findings from this study may be utilized to design optimal process parameters for enhanced thermodynamic performance of engineering systems handling complex fluids undergoing simultaneous extrusion and squeezing.

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Figures

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Fig. 1

Schematic diagram describing the problem

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Fig. 2

(a) Grid independence test: plot of θ versus y* for various numbers of grid points for Ω=10, Ec=0.01, Pr=10, ω=0.1, n=1.2, Δt=10−5 at steady-state and (b) Convergence test: plot of θ versus y* for various time step for Ω=10.0, Ec=0.01, Pr=10, ω=0.1, n=1.2, τ=10

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Fig. 3

Model validation: plot showing the variation of dimensionless temperature θ(y*) versus y* at steady-state obtained for two different values of Ω=10 and 15. The other parameters considered are as follows: Ec=0.01, Pr=0.72, ω=0.5, and n=1.0. For both the values of Ω considered, the temperature distribution in the flow field obtained from the present analysis shows a good match with the results reported by Duwairi et al. [19].

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Fig. 4

Variation of dimensionless axial velocity for different dimensionless time τ with Ω=10, Ec=0.01, Pr=10, ω=0.01, (a) n=0.8 and (b) n=1.2

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Fig. 5

Variation of dimensionless transverse velocity for various dimensionless time τ with Ω=10, Ec=0.01, Pr=10, ω=0.01, (a) n=0.8 and (b) n=1.2

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Fig. 6

Transverse distribution of dimensionless temperature for various dimensionless time τ with Ω=10, Ec=0.01, Pr=10, ω=0.1, (a) n=0.8 and (b) n=1.2

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Fig. 7

Variation of dimensionless (a) axial velocity, (b) transverse velocity, and (c) temperature for various power-law index n. The other parameters considered are Ω=10, τ=0.1, Ec=0.1, Pr=10, and ω=0.01.

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Fig. 8

Variation of Nusselt number at different dimensionless time τ for various power-law index n with Ω=10, Ec=0.1, Pr=10, and ω=0.01

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Fig. 9

Variation of Nusselt number at different dimensionless time τ for various values of Ω for Ec=0.01, Pr=10, ω=0.01, (a) n=0.8 and (b) n=1.2

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Fig. 10

Variation of entropy generation number for various dimensionless time τ for Ω=10, Ec=0.01, Pr=10, ω=0.01, (a) n=0.8 and (b) n=1.2

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Fig. 11

Variation of Bejan number (Be=(∂θ*/∂y*)2/NS) for various dimensionless time τ for Ω=10, Ec=0.01, Pr=10, ω=0.01, (a) n=0.8 and (b) n=1.2

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Fig. 12

Variation of Bejan number (Be=(∂θ*/∂y*)2/NS) for various dimensionless time τ for Ω=10, Ec=0.1, Pr=10, ω=0.01, (a) n=0.8 and (b) n=1.2

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