Abstract

Thermomagnetic convection is still a phenomenon which generates interest among researchers. The authors decided to focus their attention on the magnetic field influence on forced convection and analyze the extended Graetz–Brinkman problem. A numerical model based on a commonly available solver implemented with user-defined functions was used. The results exhibited the variety of possible flow structures depending on the dimensionless parameters, namely Prandtl and Reynolds numbers. Three flow structure classes were distinguished, and they provide a platform for further research.

Highlights

  • The ability of a magnetic field to affect all kinds of substances

  • Thermomagnetic convection refers to the phenomenon concerning the behavior of weakly magnetic fluids in the presence of a strong magnetic field but being a part of magnetohydrodynamics (MHD)

  • The magnetic force is a body force much like the gravitational one, and utilization of this small magnetism might be of great value for thermal devices working in zero gravity conditions

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Summary

Introduction

The ability of a magnetic field to affect all kinds of substances Thermomagnetic convection refers to the phenomenon concerning the behavior of weakly magnetic fluids (i.e., air) in the presence of a strong magnetic field but being a part of magnetohydrodynamics (MHD). The published reports referred to four systems: The flow in the circular duct [16], a duct with a simplified stenosis [17], a duct with an elbow [18], and heat transfer modification [19] The aim of these analyses stemmed from the fact that in the case of heterogeneous fluids, flow through the channels of various shapes might lead to the exceptionally unwanted phenomenon of sedimentation in the form of agglomerates. The low Reynolds number flow of a single-phase in a strong magnetic field numerical study is presented for a wide range of Prandtl number values. The analyses resulted in a wide range of various flow structure types, offering enhanced understanding of the transport phenomena

Constitutive Modeling
The Studied Case
The of theofMagnetic
Schematic view of the approachtotoBiot–Savart’s
Results
Referent Case
The Results
Vorticity Profiles
16. Vorticity
Discussion

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