Advertisement

Analysis of Exact Solutions of Electromagnetohydrodynamic Flow and Heat Transfer of Non-Newtonian Casson Fluid in Microchannel with Viscous Dissipation and Joule Heating

  • Motahar RezaEmail author
  • Amalendu Rana
Conference paper
  • 23 Downloads
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

A theoretical investigation is done to study the analytical solutions for the velocity and temperature distribution of non-Newtonian Casson fluid in microchannel associated with combined effects of electromagnetohydrodynamics forces and electrokinematics forces. Heat transfer and flow characteristic of non-newtonian Casson fluid are controlled by the combination of imposed pressure gradients, applied magnetic field, and electrokinematic forces. The interesting features of the electromagnetohydrodynamics flow along with heat transfer characteristic are examined by variation in the nondimensional physical parameter on the velocity and temperate profiles. The effect of Casson parameter on the velocity and temperature distribution has been analyzed. Variation of Nusselt number with applied magnetic field and also Casson parameter has been studied.

Keywords

Electroosmotic flow Electromagnetohydrodynamic flow Microchannel Casson fluid Viscous dissipation Joule heating Hartmann number Nusselt number 

Notes

Acknowledgements

This work was supported by SERB, Govt of India (Grant File No. EMR/2016/006383). The authors would like to acknowledge this support.

References

  1. 1.
    Probstein RF (1994) Physicochemical hydrodynamics. Wiley, New YorkCrossRefGoogle Scholar
  2. 2.
    Heller MJ (1996) An active microelectronics device for multiplex DNA analysis. IEEE Eng Med Biol 15:100–103CrossRefGoogle Scholar
  3. 3.
    Sosnowski RG, Tu E, Butler WF, O’Connell JP, Heller MJ (1997) Rapid determination of single base mismatch mutations in DNA hybrids by direct electric field control. Proc Natl Acad Sci USA 94(4):1119–1123CrossRefGoogle Scholar
  4. 4.
    Xuan X, Li D (2004) Joule heating effects on peak broadening in capillary zone electrophoresis. J Micromech Microeng 14(8):1171–1180CrossRefGoogle Scholar
  5. 5.
    Das S, Das T, Chakraborty S (2006) Modeling of coupled momentum, heat and solute transport during DNA hybridization in a microchannel in the presence of electro-osmotic effects and axial pressure gradients. Microfluid Nanofluid 2(1):37–49CrossRefGoogle Scholar
  6. 6.
    Jang J, Lee SS (2000) Theoretical and experimental study of MHD (magnetohydrodynamic) micropump. Sens Actuators A Phys 80:84–89CrossRefGoogle Scholar
  7. 7.
    Tang GH, Ye PX, Tao WQ (2010) Pressure-driven and electroosmotic non-Newtonian flows through microporous media via lattice Boltzmann method. J Non-Newton Fluid Mech 165:1536–1542CrossRefGoogle Scholar
  8. 8.
    Zhao C, Yanga C (2011) Electro-osmotic mobility of non-Newtonian fluids. Biomicrofluidics 5:014110CrossRefGoogle Scholar
  9. 9.
    Liu M, Yang J (2009) Electrokinetic effect of the endothelial glycocalyx layer on two-phase blood flow in small blood vessels. Microvasc Res 78(1):14–9CrossRefGoogle Scholar
  10. 10.
    Liu M, Liu Y, Guo Q, Yang J (2009) Modeling of electroosmotic pumping of nonconducting liquids and biofluids by a two-phase flow method. J Electroanal Chem 636:86–92CrossRefGoogle Scholar
  11. 11.
    Ng C (2013) Combined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannel. J Non-Newton Fluid Mech 198:1–9CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Computer Science and Engineering, Department of MathematicsNational Institute of Science & TechnologyBerhampurIndia

Personalised recommendations