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Electro-osmotic flow of power-law fluid and heat transfer in a micro-channel with effects of Joule heating and thermal radiation

Author

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  • Shit, G.C.
  • Mondal, A.
  • Sinha, A.
  • Kundu, P.K.

Abstract

A mathematical model has been developed for studying the electro-osmotic flow and heat transfer of bio-fluids in a micro-channel in the presence of Joule heating effects. The flow of bio-fluid is governed by the non-Newtonian power-law fluid model. The effects of thermal radiation and velocity slip condition have been examined in the case of hydrophobic channel. The Poisson–Boltzmann equation governing the electrical double layer field and a body force generated by the applied electric potential field are taken into consideration. The results presented here pertain to the case where the height of the channel is much greater than the thickness of electrical double layer comprising the Stern and diffuse layers. The expressions for flow characteristics such as velocity, temperature, shear stress and Nusselt number have been derived analytically under the purview of the present model. The results estimated on the basis of the data available in the existing scientific literatures are presented graphically. The effects of thermal radiation have an important bearing on the therapeutic procedure of hyperthermia, particularly in understanding the heat transfer in micro-channel in the presence of electric potential. The dimensionless Joule heating parameter has a reducing impact on Nusselt number for both pseudo-plastic and dilatant fluids, nevertheless its impact on Nusselt number is more pronounced for dilatant fluid. Furthermore, the effect of viscous dissipation has a significant role in controlling heat transfer and should not be neglected.

Suggested Citation

  • Shit, G.C. & Mondal, A. & Sinha, A. & Kundu, P.K., 2016. "Electro-osmotic flow of power-law fluid and heat transfer in a micro-channel with effects of Joule heating and thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1040-1057.
    • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:1040-1057
    DOI: 10.1016/j.physa.2016.06.142
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    References listed on IDEAS

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    1. Wu, Yong Hong & Wiwatanapataphee, B. & Hu, Maobin, 2008. "Pressure-driven transient flows of Newtonian fluids through microtubes with slip boundary," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 5979-5990.
    2. Shit, G.C. & Mondal, A. & Sinha, A. & Kundu, P.K., 2016. "Electro-osmotically driven MHD flow and heat transfer in micro-channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 437-454.
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    Citations

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    Cited by:

    1. Ranjit, N.K. & Shit, G.C., 2017. "Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 458-476.
    2. Abdulhameed, M. & Muhammad, M.M. & Gital, A.Y. & Yakubu, D.G. & Khan, I., 2019. "Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 42-71.
    3. Sharma, A. & Tripathi, D. & Sharma, R.K. & Tiwari, A.K., 2019. "Analysis of double diffusive convection in electroosmosis regulated peristaltic transport of nanofluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    4. Ranjit, N.K. & Shit, G.C., 2017. "Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment," Energy, Elsevier, vol. 128(C), pages 649-660.
    5. Misra, J.C. & Sinha, A. & Mallick, B., 2017. "Stagnation point flow and heat transfer on a thin porous sheet: Applications to flow dynamics of the circulatory system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 330-344.
    6. Balaram Kundu & Sujit Saha, 2022. "Review and Analysis of Electro-Magnetohydrodynamic Flow and Heat Transport in Microchannels," Energies, MDPI, vol. 15(19), pages 1-51, September.
    7. Cesar A. Valencia & David A. Torres & Clara G. Hernández & Juan P. Escandón & Juan R. Gómez & René O. Vargas, 2023. "Start-Up Multilayer Electro-Osmotic Flow of Maxwell Fluids through an Annular Microchannel under Hydrodynamic Slip Conditions," Mathematics, MDPI, vol. 11(20), pages 1-29, October.
    8. Marco Lorenzini & Nicola Suzzi, 2024. "Combined Geometrical Optimisation of a Square Microchannel with Smoothed Corners," Energies, MDPI, vol. 17(11), pages 1-22, May.
    9. Xie, Zhi-Yong & Jian, Yong-Jun, 2017. "Entropy generation of two-layer magnetohydrodynamic electroosmotic flow through microparallel channels," Energy, Elsevier, vol. 139(C), pages 1080-1093.
    10. Yaodong Da & Youxin Wang & Heming Dong & Qi Shang & Yu Zhang & Huashan Wang & Qian Du & Jianmin Gao, 2023. "Development of Carbon Nanotubes–Graphene–Polydimethylsiloxane Composite Film with Excellent Electrothermal Performance," Energies, MDPI, vol. 17(1), pages 1-17, December.

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    3. Misra, J.C. & Sinha, A. & Mallick, B., 2017. "Stagnation point flow and heat transfer on a thin porous sheet: Applications to flow dynamics of the circulatory system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 330-344.
    4. Ranjit, N.K. & Shit, G.C., 2017. "Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 458-476.
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