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Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

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Full perturbation solution for the flow in a rotating torus.

A Chupin¹, R Stepanov

¹Institute of Continuous Media Mechanics, Korolyov 1, Perm 614013, Russia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|July 23, 2008

Summary

This summary is machine-generated.

We developed a new perturbation solution for fluid flow in rotating channels. This model accurately describes low Reynolds number (Re) flow, differing from prior high Re solutions.

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Area of Science:

Fluid dynamics
Non-Newtonian fluid flow
Hydrodynamics

Background:

Previous studies on fluid flow in rotating channels often focused on high Reynolds numbers (Re).
Simplified equations have been used, but their accuracy compared to full equations requires further investigation, especially at lower Re.

Purpose of the Study:

To present a perturbation solution for pressure-driven fluid flow in a rotating toroidal channel.
To compare the results from full and simplified equations.
To establish the reliability and convergence conditions of the solution across various parameters.

Main Methods:

Perturbation analysis was employed to solve the governing equations for fluid flow.
The study focused on pressure-driven flow within a rotating toroidal geometry.
Analysis was conducted for low Reynolds number (Re) conditions.

Main Results:

The perturbation solution was found to be reliable for low Reynolds number (Re) flow.
Significant differences were observed between the solutions derived from full and simplified equations.
Convergence conditions for the solution were defined for the entire parameter range.

Conclusions:

The developed perturbation solution offers a reliable method for analyzing low Re fluid flow in rotating channels.
The study highlights the importance of using full equations for accurate flow pattern and hydrodynamic characteristic predictions.
Viscous flow in this configuration exhibits unique and noteworthy characteristics.