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

Tanuj Joshi (), Abhinav Gupta, Om Parkash, Ralph Kristoffer B. Gallegos, Nay Lin Oo and Gopal Krishan
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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

Mathematics, 2024, vol. 12, issue 18, 1-22

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.

Keywords: pressure drop; mathematical model; MATLAB; correlation; slurry flow; CFD (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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