A Zonal Similarity Analysis Of Friction Factors: Case Study 1: Pipe Flow Of Power Law Fluids
Khanh Tuoc Trinh
TL;DR
This paper introduces a zonal similarity analysis method for friction factors in pipe flow of power law fluids, effectively unifying data across laminar, transition, and turbulent regimes for Newtonian and non-Newtonian fluids.
Contribution
It presents a novel zonal similarity approach that uses critical Reynolds number and friction factor at transition to normalize and collapse diverse flow data.
Findings
Successfully collapses Newtonian and non-Newtonian data across flow regimes
Provides a unified framework for analyzing friction factors in power law fluids
Enhances understanding of flow transition in pipe flows
Abstract
A zonal similarity analysis of friction factors in pipe flow of power law fluids is presented. It uses the critical Reynolds number and friction factor at transition as estimates of the normalised velocity and distance between the wall and log-law layers and successfully collapses both Newtonian and non-Newtonian data for laminar, transition and turbulent flows. Key words: zonal similarity analysis, friction factor, Reynolds number, transition
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Taxonomy
TopicsWater Systems and Optimization · Rheology and Fluid Dynamics Studies · Modeling, Simulation, and Optimization