Abstract

A numerical study is performed to investigate the effect of a non - uniform magnetic field from a current carrying wire on the ferrofluid flow. The analysis is carried out for a semi circular annulus with three different locations of wire relative to it, by solving coupled set of flow field equations, energy equations and the Maxwell’s magnetostatics equations. Results from the present study offers better insight about the ferrofluid behaviour and heat transfer mechanism. It also explains the dependency of flow distribution on the location of the electric wire and the magnitude of current flowing through it.

Highlights

  • Because of their distinct thermophysical and magnetic properties, ferrofluids are being widely used to regulate as well as to enhance the heat and flow characterstics [1, 2]

  • The present study aims to investigate the influence of a non-uniform magnetic field distribution on combined natural convection and Thermomagnetic Convection (TMC) within a semi-circular annulus

  • These recirculations improve overall heat transfer from the inner hot wall to the surrounding fluid which can be confirmed from Figure 7 where N uavg has larger magnitudes for location A and C as compared to the location B for all M n

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Summary

Introduction

Because of their distinct thermophysical and magnetic properties, ferrofluids are being widely used to regulate as well as to enhance the heat and flow characterstics [1, 2]. Aminfar et al [4, 5] carried out a numerical analysis to study the effect of magnetic field from a wire on ferrofluid flow within a rectangular and a helical duct respectively. Many authors discussed the influence of non uniform magnetic fields from a current carrying wire on biomagnetic fluid flows [7, 8, 9]. All the above studies concluded that non - uniform magnetic field alters the velocity profile which affects the Nusselt number distribution inside the ferrofluids. The present study aims to investigate the influence of a non-uniform magnetic field distribution on combined natural convection and TMC within a semi-circular annulus. For observing the flow behaviour, streamlines are compared along with averaged Nusselt number (N uavg) magnitude among all the configurations

Problem Description and Computational Methodology
Results and Discussion
Conclusion

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