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Influence of Hall current and Joule heating on entropy generation during electrokinetically induced thermoradiative transport of nanofluids in a porous microchannel

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Abstract

A comprehensive theoretical study of entropy generation during electrokinetically driven transport of a nanofluid is of prime concern in the paper. The flow is considered to take place on a wavy channel under the action of an external transverse magnetic field and an external pressure gradient. Navier slips at the walls of the channel and thermal radiation have been taken into account in the study. The theoretical study has been carried out by developing a mathematical model by taking into account the effects of Joule heating, viscous dissipation, and the transverse magnetic field on heat transfer during the electrokinetic transport of the fluid. The derived analytical expressions have been computed numerically by considering the nanofluid as a mixture of blood and ferromagnetic nanoparticles. Variations in velocity, streaming potential, temperature distribution, Nusselt number, and Bejan number associated with the electrokinetic flow in capillaries have been investigated by the parametric variation method. The results have been presented graphically. The present investigation reveals that streaming potential decreases due to the Hall effect, while for the cooling capacity of the microsystem, we find an opposite behavior due to the Hall effect. The study further reveals that the fluidic temperature is reduced due to increase in the Hall current, and thereby thermal irreversibility of the system is reduced significantly. The results presented here can be considered as the approximate estimates of blood flow dynamics in capillaries during chemotherapy in cancer treatment.

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Acknowledgements

The authors wish to express their deep sense of gratitude to the esteemed editor and all the reviewers for their useful suggestions for the improvement of the original manuscript. They are also thankful to the Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, New Delhi for the financial support through Grant No.CRG/2018/ 000153.

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Authors and Affiliations

  1. Centre for Healthcare Science and Technology, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, India

    B. Mallick, J. C. Misra & A. R. Chowdhury

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  1. B. Mallick
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  2. J. C. Misra
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  3. A. R. Chowdhury
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Correspondence to J. C. Misra.

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Project supported by Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, New Delhi (No.CRG/2018/000153)

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Mallick, B., Misra, J.C. & Chowdhury, A.R. Influence of Hall current and Joule heating on entropy generation during electrokinetically induced thermoradiative transport of nanofluids in a porous microchannel. Appl. Math. Mech.-Engl. Ed. 40, 1509–1530 (2019). https://doi.org/10.1007/s10483-019-2528-7

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  • DOI: https://doi.org/10.1007/s10483-019-2528-7

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