Purpose
The purpose of this paper is to solve Navier–Stokes equations including the effects of temperature and inner pipe rotation for fully developed turbulent flow in eccentric annuli by using finite difference scheme with fixing non-linear terms.
Design/methodology/approach
A mathematical model is proposed for fully developed turbulent flow including the effects of temperature and inner pipe rotation in eccentric annuli. Obtained equation is solved numerically via central difference approximation. In this process, the non-linear term is frozen. In so doing, the non-linear equation can be considered as a linear one.
Findings
The convergence analysis is studied before using the method to the proposed momentum equation. It reflects that the method approaches to the exact solution of the equation. The numerical solution of the mathematical model shows that pressure gradient can be predicted with a good accuracy when it is compared with experimental data collected from experiments conducted at Izmir Katip Celebi University Flow Loop.
Originality/value
The originality of this work is that Navier–Stokes equations including temperature and inner pipe rotation effects for fully developed turbulent flow in eccentric annuli are solved numerically by a finite difference method with frozen non-linear terms.
In this work, the effect of temperature on the pressure loss for Newtonian fluid in fully eccentric annulus with pipe rotation is investigated. Extensive experiments with water are conducted at Izmir Katip Celebi University (IKCU), Civil Engineering Department for various flow velocities ranging between 0.7 m/s and 2.9 m/s, pipe rotation range between 0 rpm and 120 rpm. The effect of temperature on frictional pressure losses is also examined, and the temperature is varied from 20 °C to 65 °C. It was observed that, an increase in the fluid temperature in fully eccentric annulus results in a decrease in the pressure gradient. On the other hand, the influence of temperature on pressure gradient becomes more significant, as the Reynolds number is raised. Variation of Taylor number causes negligible changes on frictional pressure losses for all temperature conditions considered. By using regression analysis of the dataset obtained from the experimental work, a simple empirical frictional pressure losses correlation taking into account of temperature effect is proposed. Results showed that a good agreement between the measured and predicted values is achieved with almost 94% coefficient of determination.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.