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An Investigation of Parallel Post-Laminar Flow through Coarse Granular Porous Media with the Wilkins Equation

Author

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  • Ashes Banerjee

    (Departmentof Civil Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Jharkhand, India)

  • Srinivas Pasupuleti

    (Departmentof Civil Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Jharkhand, India)

  • Mritunjay Kumar Singh

    (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Jharkhand, India)

  • G.N. Pradeep Kumar

    (Department of Civil Engineering, SVU College of Engineering, Sri Venkateswara University, Tirupati 517502, Andhra Pradesh, India)

Abstract

Behaviour of flow resistance with velocity is still undefined for post-laminar flow through coarse granular media. This can cause considerable errors during flow measurements in situations like rock fill dams, water filters, pumping wells, oil and gas exploration, and so on. Keeping the non-deviating nature of Wilkins coefficients with the hydraulic radius of media in mind, the present study further explores their behaviour to independently varying media size and porosity, subjected to parallel post-laminar flow through granular media. Furthermore, an attempt is made to simulate the post-laminar flow conditions with the help of a Computational Fluid Dynamic (CFD) Model in ANSYS FLUENT, since conducting large-scale experiments are often costly and time-consuming. The model output and the experimental results are found to be in good agreement. Percentage deviations between the experimental and numerical results are found to be in the considerable range. Furthermore, the simulation results are statistically validated with the experimental results using the standard ‘ Z -test’. The output from the model advocates the importance and applicability of CFD modelling in understanding post-laminar flow through granular media.

Suggested Citation

  • Ashes Banerjee & Srinivas Pasupuleti & Mritunjay Kumar Singh & G.N. Pradeep Kumar, 2018. "An Investigation of Parallel Post-Laminar Flow through Coarse Granular Porous Media with the Wilkins Equation," Energies, MDPI, vol. 11(2), pages 1-19, February.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:2:p:320-:d:129904
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    References listed on IDEAS

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    1. Chen, Zhongxue & Nadarajah, Saralees, 2014. "On the optimally weighted z-test for combining probabilities from independent studies," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 387-394.
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    Cited by:

    1. Jianchao Cai & Shuyu Sun & Ali Habibi & Zhien Zhang, 2019. "Emerging Advances in Petrophysics: Porous Media Characterization and Modeling of Multiphase Flow," Energies, MDPI, vol. 12(2), pages 1-5, January.

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