Non-Fourier Heat Transfer Study of Couple Stress Fluids in Microchannels

Xue Bo; Zhao Guangpu; Zhang Jiali; Zhang Yue; Wang Han

doi:10.21656/1000-0887.460076

Volume 47 Issue 7

Jul. 2026

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2026 > 47(7): 845-857

Xue Bo, Zhao Guangpu, Zhang Jiali, Zhang Yue, Wang Han. Non-Fourier Heat Transfer Study of Couple Stress Fluids in Microchannels[J]. Applied Mathematics and Mechanics, 2026, 47(7): 845-857. doi: 10.21656/1000-0887.460076

Citation:

PDF( 4024 KB)

Non-Fourier Heat Transfer Study of Couple Stress Fluids in Microchannels

doi: 10.21656/1000-0887.460076

College of Science, Inner Mongolia University of Technology, Hohhot 010051, P.R. Chin

Funds:

The National Science Foundation of China(12562028；11802147)

Received Date: 2025-04-14
Rev Recd Date: 2025-09-02

Available Online: 2026-07-23

Abstract

Abstract

The non-Fourier heat transfer characteristics of couple stress fluid in a microchannel were investigated, and effects of the couple stress parameters, the Hartmann number, the Joule heating effect and the 2-phase lag time parameters on the temperature distributions and heat transfer characteristics of the fluid were analyzed through establishment of the relevant governing equations combined with the non-Fourier heat transfer model. The results show that, the above parameters significantly influence the fluidity and heat diffusion characteristics of the couple stress fluid. The increase of the couple stress parameter aggravates the temperature gradient; the Hartmann number enhances the magnetic field confinement and inhibits the heat conduction; the Joule heating effect promotes the temperature gradient and highlights the non-Fourier effect; and the change of the biphasic hysteresis time parameter has a significant modulation effect on the temperature peak and the response speed.
- microchannel,
- couple stress fluid,
- non-Fourier heat transfer,
- temperature distribution

FullText(HTML)

References(19)

References

Stokes V K. Couple stresses in fluids[M]//Theories of Fluids With Microstructure: an Introduction. Berlin, Heidelberg: Springer, 1984: 34-80.

[2]Siva T, Jangili S, Kumbhakar B. Heat transfer analysis of MHD and electroosmotic flow of non-Newtonian fluid in a rotating microfluidic channel: an exact solution[J]. Applied Mathematics and Mechanics,2021,42(7): 1047-1062.

[3]Mekheimer K S. Effect of the induced magnetic field on peristaltic flow of a couple stress fluid[J]. Physics Letters A,2008,372(23): 4271-4278.

[4]Kumar B, Jangili S. Heat transfer analysis of electroosmotic flow of couple stress fluid through a rotating circular microchannel[J]. International Journal of Thermal Sciences,2025,208: 109359.

[5]Roja A, Khan U, Sollapur S B, et al. Impact of variable thermal conductivity on couple-stress Casson fluid flow through a microchannel with catalytic cubic reactions[J]. High Temperature Materials and Processes,2025,44: 20250077.

[6]Kundu B, Saha S. Review and analysis of electro-magnetohydrodynamic flow and heat transport in microchannels[J]. Energies,2022,15(19): 7017.

[7]Ramesh G K, Gireesha B J, Shehzad S A, et al. Analysis of heat transfer phenomenon in magnetohydrodynamic casson fluid flow through cattaneo-christov heat diffusion theory[J]. Communications in Theoretical Physics,2017,68(1): 91.

[8]Ramesh K, Devakar M. Magnetohydrodynamic peristaltic transport of couple stress fluid through porous medium in an inclined asymmetric channel with heat transfer[J]. Journal of Magnetism and Magnetic Materials,2015,394: 335-348.

[9]Yadav P K, Yadav N. Impact of heat and mass transfer on the magnetohydrodynamic two-phase flow of couple stress fluids through a porous walled curved channel using homotopy analysis method[J]. Chaos,Solitons & Fractals,2024,183: 114961.

[10]长龙, 布仁满都拉, 娜仁, 等. pH调节的纳米平行通道中Powell-Eyring流体的电渗流动[J]. 应用数学和力学, 2025,46(1): 72-83. (Chang Long, Buren Mandula, Na Ren, et al. Electroosmotic flows of Powell-Eyring fluids in pH-regulated parallel plate nanochannels[J]. Applied Mathematics and Mechanics,2025,46(1): 72-83. (in Chinese))

[11]Shit G C, Mondal A, Sinha A, et al. Electro-osmotic flow of power-law fluid and heat transfer in a micro-channel with effects of Joule heating and thermal radiation[J]. Physica A: Statistical Mechanics and Its Applications,2016,462: 1040-1057.

[12]Mondal A, Shit G C. Electro-osmotic flow and heat transfer in a slowly varying asymmetric micro-channel with Joule heating effects[J]. Fluid Dynamics Research,2018,50(6): 065502.

[13]Alipour Lalami A, Hassanzadeh Afrouzi H, Moshfegh A, et al. Investigation of nanofluid heat transfer in a microchannel under magnetic field via lattice Boltzmann method: effects of surface hydrophobicity, viscous dissipation, and joule heating[J]. Journal of Heat Transfer,2019,141(6): 062403.

[14]Siva T, Jangili S, Kumbhakar B, et al. Unsteady electromagnetohydrodynamic flow of couple stress fluid through a microchannel: a theoretical analysis[J]. European Journal of Mechanics B,2022,95: 83-93.

[15]Rana A, Reza M, Shit G C, et al. Electromagnetohydrodynamic flow and thermal performance in a rotating rough surface microchannel[J]. Physics of Fluids,2024,36(9): 092012.

[16]Jha B K, Oyelade I O. The role of dual-phase-lag (DPL) heat conduction model on transient free convection flow in a vertical channel[J]. Partial Differential Equations in Applied Mathematics,2022,5: 100266.

[17]Talaee M R, Kabiri A. Analytical solution of hyperbolic bioheat equation in spherical coordinates applied in radiofrequency heating[J]. Journal of Mechanics in Medicine and Biology,2017,17(4): 1750072.

[18]Zhang J, Zhao G, Farooq U, et al. Thermal convective transport of nanofluids in a microannulus under electromagnetohydrodynamic and time-periodic pressure gradient[J]. Numerical Heat Transfer (Part A): Applications,2025,86(23): 8387-8407.

[19]Banerjee D, Mehta S K, Pati S, et al. Analytical solution to heat transfer for mixed electroosmotic and pressure-driven flow through a microchannel with slip-dependent zeta potential[J]. International Journal of Heat and Mass Transfer,2021,181: 121989.

Relative Articles

Supplements(0)

Cited By

Proportional views