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Effects of Shear Dependent Viscosity and Variable Thermal Conductivity on the Flow and Heat Transfer in a Slurry

Author

Listed:
  • Ling Miao

    (Department of Mechanical Engineering and Material Science, University of Pittsburgh, 3700 O’Hara Street, Pittsburgh, PA 15213, USA)

  • Mehrdad Massoudi

    (Department of Energy, National Energy Technology Laboratory (NETL), 626 Cochrans Mill Road, P.O. Box 10940, Pittsburgh, PA 15236, USA)

Abstract

In this paper we study the effects of variable viscosity and thermal conductivity on the heat transfer in the pressure-driven fully developed flow of a slurry (suspension) between two horizontal flat plates. The fluid is assumed to be described by a constitutive relation for a generalized second grade fluid where the shear viscosity is a function of the shear rate, temperature and concentration. The heat flux vector for the slurry is assumed to follow a generalized form of the Fourier’s equation where the thermal conductivity k depends on the temperature as well as the shear rate. We numerically solve the governing equations of motion in the non-dimensional form and perform a parametric study to see the effects of various dimensionless numbers on the velocity, volume fraction and temperature profiles. The different cases of shear thinning and thickening, and the effect of the exponent in the Reynolds viscosity model, for the temperature variation in viscosity, are also considered. The results indicate that the variable thermal conductivity can play an important role in controlling the temperature variation in the flow.

Suggested Citation

  • Ling Miao & Mehrdad Massoudi, 2015. "Effects of Shear Dependent Viscosity and Variable Thermal Conductivity on the Flow and Heat Transfer in a Slurry," Energies, MDPI, vol. 8(10), pages 1-29, October.
    • Handle: RePEc:gam:jeners:v:8:y:2015:i:10:p:11546-11574:d:57148
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    References listed on IDEAS

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    1. Mehrdad Massoudi & Ping Wang, 2013. "Slag Behavior in Gasifiers. Part II: Constitutive Modeling of Slag," Energies, MDPI, vol. 6(2), pages 1-32, February.
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    Cited by:

    1. Hao Zhou & Feng Feng & Qin-Liu Cao & Changsheng Zhou & Wei-Tao Wu & Mehrdad Massoudi, 2022. "Heat Transfer and Flow of a Gel Fuel in Corrugated Channels," Energies, MDPI, vol. 15(19), pages 1-19, October.
    2. Ameenuddin, Mohammed & Anand, Mohan & Massoudi, Mehrdad, 2019. "Effects of shear-dependent viscosity and hematocrit on blood flow," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 299-311.
    3. Mehrdad Massoudi & Jeongho Kim & Ping Wang, 2016. "On the Heat Flux Vector and Thermal Conductivity of Slags: A Brief Review," Energies, MDPI, vol. 9(1), pages 1-23, January.
    4. Yue Hua & Jiang-Zhou Peng & Zhi-Fu Zhou & Wei-Tao Wu & Yong He & Mehrdad Massoudi, 2022. "Thermal Performance in Convection Flow of Nanofluids Using a Deep Convolutional Neural Network," Energies, MDPI, vol. 15(21), pages 1-16, November.
    5. Xin Chang & Jun Zhou & Yintong Guo & Shiming He & Lei Wang & Yulin Chen & Ming Tang & Rui Jian, 2018. "Heat Transfer Behaviors in Horizontal Wells Considering the Effects of Drill Pipe Rotation, and Hydraulic and Mechanical Frictions during Drilling Procedures," Energies, MDPI, vol. 11(9), pages 1-28, September.

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