Numerical Simulation of Laminar Flow of a Non-Newtonian Bentonite Solution in a Horizontal Pipe

Document Type : Research Paper


1 Laboratoire Ingénierie des Transports et Environnement (LITE), Université Constantine 1, Constantine 25000, Algeria

2 Laboratoire d'Energetique Appliquee et de Pollution, Faculté des Sciences de la Technologie, Université Frères Mentouri, Algeria

3 Groupe de Recherche en Sciences pour l’Ingénieur, SFR Condorcet FR CNRS 3417, Université de Reims Champagne-Ardenne, France


The present study constitutes a notable contribution to enhancing our understanding of the behavior exhibited by non-Newtonian fluids. The purpose of the study involves conducting numerical simulations that elucidate the laminar flow dynamics within a horizontal pipe. The investigated flowing medium consists of bentonite suspensions with varying concentrations. The rheological behavior of the fluid is accurately described using the Herschel-Bulkley model, a pseudo-plastic representation. The results obtained through this research have helped to meticulously analyze the influence of fluctuations in the rheological index n on the following flow key parameters: pressure drop, velocity, and coefficient of friction within the pipe. This analysis covers a range of generalized Reynolds numbers, all the values of which correspond to the laminar flow regime. The meticulous study of the flow parameters reveals a compelling alignment between the simulation results and the experimental measurements, which underscores the validity of the study's findings.


Main Subjects

Articles in Press, Accepted Manuscript
Available Online from 12 March 2024
  • Receive Date: 08 February 2024
  • Revise Date: 04 March 2024
  • Accept Date: 12 March 2024