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Mathematical Formulations for Predicting Pressure Drop in Solid–Liquid Slurry Flow through a Straight Pipe Using Computational Modeling

Author

Listed:
  • Tanuj Joshi

    (Department of Mechanical & Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia)

  • Abhinav Gupta

    (Department of Mechanical Engineering, Amity University Haryana, Gurugram 122413, India)

  • Om Parkash

    (Department of Mechanical Engineering, Amity University Haryana, Gurugram 122413, India)

  • Ralph Kristoffer B. Gallegos

    (Department of Mechanical Engineering, University of the Philippines Los Baños, College, Laguna 4031, Philippines)

  • Nay Lin Oo

    (Department of Engineering and Architectural Studies, Ara Institute of Canterbury, Canterbury 8011, New Zealand)

  • Gopal Krishan

    (School of Innovation, Design and Technology, Wellington Institute of Technology, Wellington 5012, New Zealand)

Abstract

The study establishes two mathematical formulations to predict the pressure drop in a solid–liquid slurry flowing through a straight pipe. Employing the Eulerian–Eulerian RNG k-ε model, the computational investigation uses water as the carrier fluid and glass beads as solid particles. The analysis spans various particle sizes (d 50 = 75–175 μm), volumetric concentrations (C vf = 10–50%), and velocities (V m = 1–5 m/s). The first model, developed using the MATLAB curve-fitting tool, is complemented by a second empirical equation derived through non-polynomial mathematical formulation. Results from both models are validated against existing experimental and computational data, demonstrating accurate predictions for d 50 = 75–175 µm particles within a Reynolds number range of 20,000 ≤ Re ≤ 320,000.

Suggested Citation

  • Tanuj Joshi & Abhinav Gupta & Om Parkash & Ralph Kristoffer B. Gallegos & Nay Lin Oo & Gopal Krishan, 2024. "Mathematical Formulations for Predicting Pressure Drop in Solid–Liquid Slurry Flow through a Straight Pipe Using Computational Modeling," Mathematics, MDPI, vol. 12(18), pages 1-24, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2879-:d:1478840
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