Abstract
A theoretical investigation is done to analyze the thermo-fluidic transport features of (electromagnetohydrodynamic) EMHD flow of third-grade fluid in a microchannel through a porous medium. The viscous dissipation and Joule heating are considered to analyze the thermal characteristics for this flow through microchannel with porous medium impregnated by third-grade fluid. The reduced governing equations which are becoming highly nonlinear due to considering third-grade fluid are solved numerically to obtain the solutions for velocity and temperature distributions. The novel results show that the unknown Nusselt number (Nu) has been derived from bulk mean temperature to control the rate of heat transfer by applying suitable strength of the magnetic field and electric field. The significant effects of momentum and thermal transport phenomenon within the porous microchannel for various physical factors such as Hartmann number, Darcy number, transverse electric field, non-Newtonian parameter are elaborated in this work.
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References
Stone HA, Stroock AD, Ajdari A (2004) Engineering flows in small devices microfluidics toward a lab-on-a-chip. Ann Rev Fluid Mech 36:381–411
Laster DJ, Santiago JG (2004) A review of micropumps. J Micromech Microeng 14:R35–R64
West J, Karamata B, Lillis B, Gleeson JP, Alderman JK (2002) Application of magnetohydrodynamic actuation to continuous flow chemistry. Lab Chip 2:224–230
Weston MC, Gerner MD, Fritsch I (2010) Magnetic Fields for Fluid Motion. Anal. Chem. 82:3411–3418
Jang J, Lee SS (2000) Theoretical and experimental study of MHD (magnetohydrodynamic) micropump. Sensor Actuat A Phys 80:84–89
Chakraborty R, Dey R, Chakraborty S (2013) Thermal characteristics of electromagnetohydrodynamic flows in narrow channels with viscous dissipation and Joule heating under constant wall heat flux. Int J Heat Mass Transf 67:1151–1162
Buren M, Jian Y, Chang L (2014) Electromagnetohydrodynamic ow through a microparallel channel with corrugated walls. J Phys D Appl Phys 47:425–501
Rashid M, Shahzadi I, Nadeem S (2018) Corrugated walls analysis in microchannels through porous medium under Electromagnetohydrodynamic (EMHD) effects. Res Phys 9:171–182
Wang L, Jian Y, Liu Q, Li F, Chang L (2016) Electromagnetohydrodynamic flow and heat transfer of third grade fluids between two micro-parallel plates. Colloids Surfaces A Physicochem Eng Aspects
Ellahi R, Hayat T, Mahomed F M, Asghar S (2010) Effects of slip on the non-linear flows of a third grade fluid. Nonlinear Anal-Real 11, 139–146
Acknowledgements
This work was supported by SERB , Govt of India (Grant File No. EMR/2016/006383). The authors would like to acknowledge this support.
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Reza, M., Rana, A., Patra, R. (2021). A Numerical Experiment on Thermo-fluidic Transport of Third-Grade Fluid Flow Through a Porous Microchannel Under the Influence of Combined Electromagnetohydrodynamic Effect. In: Pant, P., Mishra, S.K., Mishra, P.C. (eds) Advances in Mechanical Processing and Design. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-7779-6_10
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DOI: https://doi.org/10.1007/978-981-15-7779-6_10
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