Heat Transfer Dynamics in Hydrophobic Microchannels: A Study of Non-Newtonian Fluids under Magnetic Influence

Document Type : Original Research Paper

Authors

1 Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran

2 Islamic Azad university, Sari branch

Abstract

This study explores the heat transfer (HT) characteristics of non-Newtonian fluids in hydrophobic microchannels influenced by magnetic fields (MFs). Using the Lattice Boltzmann Method (LBM), a detailed two-dimensional microscale model is developed to analyze the combined effects of flow slippage, viscous dissipation, and temperature jump phenomena. The power-law model is employed to represent the non-Newtonian fluid behavior accurately. The results demonstrate that increasing the slip length significantly enhances convective HT by modifying boundary layer dynamics. However, this enhancement is mitigated by the opposing effects of temperature jump and viscous dissipation. The introduction of a magnetic field further alters the flow dynamics, with the Lorentz force optimizing velocity profiles and substantially boosting HT efficiency. The results show that the presence of magnetic field with Ha=20 enhances heat transfer 3.3% and 4.2% at B=0 and B=0.06 respectively for non-Newtonian fluid flow with n=0.9. These findings underline the intricate interplay between magnetic field intensity, fluid rheology, and surface properties, offering valuable guidance for designing advanced thermal management systems in microchannel applications.

Keywords


[1] Gao, J., et al., Fluid flow and heat transfer in microchannel heat sinks: Modelling review and recent progress. Thermal Science and Engineering Progress, 2022. 29: p. 101203.

[2] Sadique, H. and Q. Murtaza, Heat transfer augmentation in microchannel heat sink using secondary flows: A review. International Journal of Heat and Mass Transfer, 2022. 194: p. 123063.

[3] Song, G., et al., Reviews: Applications of optimization algorithm for microchannel and microchannel heat sink on heat transfer. International Journal of Heat and Fluid Flow, 2024. 108: p. 109451.

[4] Fallah, K., et al., Simulation of natural convection heat transfer using nanofluid in a concentric annulus. Thermal Science, 2017. 21(3): p. 1275-1286.

[5] Fallah, K., et al., Numerical simulation of planar shear flow passing a rotating cylinder at low Reynolds numbers. Acta Mechanica, 2012. 223(2): p. 221-236.

[6] Eneren, P., Y.T. Aksoy, and M.R. Vetrano, Experiments on single-phase nanofluid heat transfer mechanisms in microchannel heat sinks: A review. Energies, 2022. 15(7): p. 2525.

[7] Kumar, K., R. Kumar, and R.S. Bharj, Entropy generation analysis due to heat transfer and nanofluid flow through microchannels: a review. International Journal of Exergy, 2020. 31(1): p. 49-86.

[8] Klazly, M. and G. Bognár, A novel empirical equation for the effective viscosity of nanofluids based on theoretical and empirical results. International Communications in Heat and Mass Transfer, 2022. 135: p. 106054.

[9] Nabwey, H.A., et al., A comprehensive review of nonnewtonian nanofluid heat transfer. Symmetry, 2023.15(2): p. 362.

[10] Yıldız, G., Ü. Ağbulut, and A.E. Gürel, A review of stability, thermophysical properties and impact of using nanofluids on the performance of refrigeration systems. International journal of refrigeration, 2021.129: p. 342-364.

[11] Li, M., et al., Experimental study on dynamic flow and heat transfer performance of silicon-based microchannel under variable thermal load. International Journal of Heat and Fluid Flow, 2024. 110: p. 109663.

[12] Qiu, Y., et al., Experimental investigation of heat transfer and pressure drop in copper manifold microchannel heat sinks. Applied Thermal Engineering, 2024. 255: p. 124024.

[13] Rahbarshahlan, S., et al., Numerical simulation of fluid flow and heat transfer in microchannels with patterns of hydrophobic/hydrophilic walls. The European Physical Journal Plus, 2020. 135(2): p. 157.

[14] Yao, Z., et al., Numerical assessment of the impacts of non-Newtonian nanofluid and hydrophobic surfaces on conjugate heat transfer and irreversibility in a silicon microchannel heat-sink. Journal of the Taiwan Institute of Chemical Engineers, 2023. 142: p. 104642.

[15] Yue, C., et al., Numerical study on flow and thermal characteristics of a micro-channel separated heat pipe under various surface wettability. Case Studies in Thermal Engineering, 2021. 28: p. 101345.

[16] Sohankar, A., M. Riahi, and E. Shirani, Numerical investigation of heat transfer and pressure drop in a rotating U-shaped hydrophobic microchannel with slip flow and temperature jump boundary conditions. Applied Thermal Engineering, 2017. 117: p. 308-321.

[17] Fallah, K., et al. Simulation of Planar Shear Flow Passing Two Equal‐Sized Circular Cylinders in Tandem Arrangement. in AIP Conference Proceedings. 2011. American Institute of Physics.

[18] Moafi Madani, S.M., et al., Numerical study of geometric parameters effects on the suspended solid particles in the oil transmission pipelines. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2022. 236(8): p. 3960-3973.

[19] Fallah, K., et al., Numerical simulation of flow around two rotating circular cylinders in staggered arrangement by multi-relaxation-time lattice Boltzmann method at low Reynolds number. World Applied Sciences Journal, 2011. 15(4): p. 544-554.

[20] Fallah, K., et al., Drop formation in cross-junction micro-channel, using lattice Boltzmann method. Thermal Science, 2018. 22(2): p. 909-919.

[21] Kalteh, M. and A. Alipour Lalami, Investigation of the Effect of Velocity Slip and Temperature Jump on the Heat Transfer of Nanofluid in a Microchannel Under Constant Heat Flux with Lattice Boltzmann Method. Amirkabir Journal of Mechanical Engineering, 2018. 50(2): p. 255-270.

[22] Alipour Lalami, A. and M. Kalteh, Lattice Boltzmann simulation of nanofluid conjugate heat transfer in a wide microchannel: effect of temperature jump, axial conduction and viscous dissipation. Meccanica, 2019. 54(1-2): p. 135-153.

[23] Mehrizi, A.A., et al., Numerical investigation of conjugate heat transfer in a microchannel with a hydrophobic surface utilizing nanofluids under a magnetic field. Physics of Fluids, 2021. 33(5).

[24] Afrouzi, H.H., et al., Thermo-hydraulic characteristics investigation of nanofluid heat transfer in a microchannel with super hydrophobic surfaces under non-uniform magnetic field using Incompressible Preconditioned Lattice Boltzmann Method (IPLBM). Physica A: Statistical Mechanics and its Applications, 2020. 553: p. 124669.

[25] Li, M., et al., A comprehensive investigation of nanofluid conjugate heat transfer in a microchannel under MHD effect. Alexandria Engineering Journal, 2023. 80: p. 506-519.

[26] Geraeilinezhad, M., et al., Numerical investigation of pseudoplastic fluid flow and heat transfer in a microchannel under velocity slip effect. Engineering Analysis with Boundary Elements, 2023. 155: p. 501-510.

[27] Mohamad, A., Lattice boltzmann method. Vol. 70. 2011: Springer.

[28] Sajadifar, S.A., A. Karimipour, and D. Toghraie, Fluid flow and heat transfer of non-Newtonian nanofluid in a microtube considering slip velocity and temperature jump boundary conditions. European Journal of Mechanics-B/Fluids, 2017. 61: p. 25-32.

[29] Rakotomalala, N., D. Salin, and P. Watzky, Simulations of viscous flows of complex fluids with a Bhatnagar, Gross, and Krook lattice gas. Physics of Fluids, 1996. 8(11): p. 3200-3202.

[30] Manay, E. and B. Sahin, Heat transfer and pressure drop of nanofluids in a microchannel heat sink. Heat Transfer Engineering, 2017. 38(5): p. 510-522.

[31] Inamuro, T., M. Yoshino, and F. Ogino, A non‐slip boundary condition for lattice Boltzmann simulations. Physics of fluids, 1995. 7(12): p. 2928-2930.

[32] D’Orazio, A. and S. Succi. Boundary conditions for thermal lattice Boltzmann simulations. in International Conference on Computational Science.2003. Springer.