Research Article
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Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method

Year 2025, Volume: 11 Issue: 4, 949 - 960, 31.07.2025

Abstract

This study investigated a forced convection of nanofluid in a microchannel with the presence of square obstacles using lattice Boltzmann method. The slip boundary conditions for veloc-ity and temperature jump are considered for microchannel. The study is conducted in three volume fractions of nanoparticles, two Knudsen numbers and two Reynolds numbers. The results is shown that with enhancing the volume fraction of nanoparticles, the heat transfer coefficient increases more than two times. It is observed that by increasing the Knudsen num-ber, the velocity slip and also temperature jump increases, but the heat transfer coefficient and the friction coefficient decreases. The first obstacle in the microchannel is more effective which is due to the creation of the vortex and the vortex characteristics in dissembling the hydraulic and thermal boundary layers. Also, increasing the nanoparticles volume fraction, the heat transfer coefficient rises noticeably.

References

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  • [2] Anwar T, Kumam P, Thounthong P, Sitthithakerngkiet K. Nanoparticles shape effects on thermal performance of Brinkman-type ferrofluid under heat injection/consumption and thermal radiation: A fractional model with non-singular kernel and non-uniform temperature and velocity conditions. J Mol Liq 2021;335:116107. [CrossRef]
  • [3] Anwar T, Kumam P, Muhammad S. New fractional model to analyze impacts of Newtonian heating, shape factor and ramped flow function on MgO–SiO₂–kerosene oil hybrid nanofluid. Case Stud Therm Eng 2022;38:102361. [CrossRef]
  • [4] Asadollahi A, Rashidi S, Esfahani JA. Simulation of liquid reaction and droplet formation on a moving micro-object by lattice Boltzmann method. Meccanica 2018;53:803–15. [CrossRef]
  • [5] Muhammad S, Anwar T, Asifa, Yavuz M. Comprehensive investigation of thermal and flow features of alloy-based nanofluid considering shape and Newtonian heating effects via new fractional approach. Fractals Fract 2023;7:150. [CrossRef]
  • [6] Asifa, Anwar T, Kumam P, Shah Z, Sitthithakerngkiet K. Significance of shape factor in heat transfer performance of molybdenum-disulfide nanofluid in multiple flow situations; A comparative fractional study. Molecules 2021;26:3711. [CrossRef]
  • [7] Anwar T, Asifa, Kumam P, El-Zahar ER, Muhammad S, Seddek LF. Thermal analysis of mineral oil-based hybrid nanofluid subject to time-dependent energy and flow conditions and multishaped nanoparticles. J Therm Anal Calorim 2024;149:6813–36. [CrossRef]
  • [8] Ezzatneshan E, Salehi A, Vaseghnia H. Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems. Heat Transf 2021;50:7604–31. [CrossRef]
  • [9] Chamkha AJ, Abbasbandy S, Rashad AM, Vajravelu K. Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Meccanica 2013;48:275–85. [CrossRef]
  • [10] Arabpour A, Karimipour A, Toghraie D, Akbari OA. Investigation into the effects of slip boundary condition on nanofluid flow in a double-layer microchannel. J Therm Anal Calorim 2018;131:2975–91. [CrossRef]
  • [11] Abbassi MA, Djebali R, Guedri K. Effects of heater dimensions on nanofluid natural convection in a heated incinerator shaped cavity containing a heated block. J Therm Eng 2018;4:2018–36. [CrossRef]
  • [12] Lv Y, Liu S. Topology optimization and heat dissipation performance analysis of a micro-channel heat sink. Meccanica 2018;53:3693–708. [CrossRef]
  • [13] Zade AQ, Renksizbulut M, Friedman J. Heat transfer characteristics of developing gaseous slip-flow in rectangular microchannels with variable physical properties. Int J Heat Fluid Flow 2011;32:117–27. [CrossRef]
  • [14] Eckstein Y, Yossifon G, Seifert A, Miloh T. Nonlinear electrokinetic phenomena around nearly insulated sharp tips in microflows. J Colloid Interface Sci 2009;338:243–9. [CrossRef]
  • [15] Sharp KV, Yazdi SH, Davison SM. Localized flow control in microchannels using induced-charge electroosmosis near conductive obstacles. Microfluid Nanofluidics 2011;10:1257–67. [CrossRef]
  • [16] Bera S, Bhattacharyya S. Electroosmotic flow in the vicinity of a conducting obstacle mounted on the surface of a wide microchannel. Int J Eng Sci 2015;94:128–38. [CrossRef]
  • [17] Roy G, Nguyen CT, Lajoie PR. Numerical investigation of laminar flow and heat transfer in a radial flow cooling system with the use of nanofluids. Superlattices Microstruct 2004;35:497–511. [CrossRef]
  • [18] Ho CJ, Wei LC, Li ZW. An experimental investigation of forced convective cooling performance of a microchannel heat sink with Al₂O₃/water nanofluid. Appl Therm Eng 2010;30:96–103. [CrossRef]
  • [19] Tsai TH, Chein R. Performance analysis of nanofluid-cooled microchannel heat sinks. Int J Heat Fluid Flow 2007;28:1013–26. [CrossRef]
  • [20] Jang SP, Choi SU. Cooling performance of a microchannel heat sink with nanofluids. Appl Therm Eng 2006;26:2457–63. [CrossRef]
  • [21] Alipour Lalami A, Kalteh M. Lattice Boltzmann simulation of nanofluid conjugate heat transfer in a wide microchannel: Effect of temperature jump, axial conduction and viscous dissipation. Meccanica 2019;54:135–53. [CrossRef]
  • [22] Santra AK, Sen S, Chakraborty N. Study of heat transfer due to laminar flow of copper–water nanofluid through two isothermally heated parallel plates. Int J Therm Sci 2009;48:391–400. [CrossRef]
  • [23] Rajan I, Perumal DA. Flow dynamics of lid-driven cavities with obstacles of various shapes and configurations using the lattice Boltzmann method. J Therm Eng 2021;7:83–102. [CrossRef]
  • [24] Bamdad K, Ashorynejad HR. Inverse analysis of a rectangular fin using the lattice Boltzmann method. Energy Convers Manag 2015;97:290–7. [CrossRef]
  • [25] Agarwal RK, Chusak L. Lattice Boltzmann simulations of slip flow of non-Newtonian fluids in microchannels. In: Hirschel EH, Periaux J, Satofuka N, editors. Parallel computational fluid dynamics 2008: Parallel numerical methods, software development and applications. Berlin: Springer; 2010. p. 247–56. [CrossRef]
  • [26] Navidbakhsh M, Rezazadeh M. A computational study of a capsule lateral migration in microchannel flow. Acta Mech Sin 2013;29:513– 25. [CrossRef]
  • [27] Javaherdeh K, Karimi H. Numerical analysis of mixed convection of sodium alginate non-Newtonian fluid with Al₂O₃ nanoparticle in a channel with block. J Appl Comput Sci Mech 2021;32:93–110.
  • [28] Huminic G, Huminic A. Entropy generation of nanofluid and hybrid nanofluid flow in thermal systems: A review. J Mol Liq 2020;302:112533. [CrossRef]
  • [29] Izadi M, Mohammadi SA, Mehryan SAM, Yang T, Sheremet MA. Thermogravitational convection of magnetic micropolar nanofluid with coupling between energy and angular momentum equations. Int J Heat Mass Transf 2019;145:118748. [CrossRef]
  • [30] Javaherdeh K, Karimi H, Azarbarzin T. Lattice Boltzmann simulation of fluid flow and heat transfer in a microchannel with heat sources located on the walls. Superlattices Microstruct 2021;160:107069. [CrossRef]
  • [31] Gokaltun S, Dulikravich GS. Lattice Boltzmann computations of incompressible laminar flow and heat transfer in a constricted channel. Comput Math Appl 2010;59:2431–41. [CrossRef]
  • [32] Tian ZW, Zou C, Liu HJ, Guo ZL, Liu ZH, Zheng CG. Lattice Boltzmann scheme for simulating thermal micro-flow. Physica A. 2007;385:59–68. [CrossRef]
  • [33] Chang C, Liu CH, Lin CA. Boundary conditions for lattice Boltzmann simulations with complex geometry flows. Comput Math Appl 2009;58:940–9. [CrossRef]
  • [34] Zhang YH, Qin RS, Sun YH, Barber RW, Emerson DR. Gas flow in microchannels–a lattice Boltzmann method approach. J Stat Phys 2005;121:257–67. [CrossRef]

Year 2025, Volume: 11 Issue: 4, 949 - 960, 31.07.2025

Abstract

References

  • [1] İlikan AN, Aydın R. Analysis of the slip flow in the hydrodynamic entrance region of a 2D microchannel. J Therm Eng 2023;9:733–45. [CrossRef]
  • [2] Anwar T, Kumam P, Thounthong P, Sitthithakerngkiet K. Nanoparticles shape effects on thermal performance of Brinkman-type ferrofluid under heat injection/consumption and thermal radiation: A fractional model with non-singular kernel and non-uniform temperature and velocity conditions. J Mol Liq 2021;335:116107. [CrossRef]
  • [3] Anwar T, Kumam P, Muhammad S. New fractional model to analyze impacts of Newtonian heating, shape factor and ramped flow function on MgO–SiO₂–kerosene oil hybrid nanofluid. Case Stud Therm Eng 2022;38:102361. [CrossRef]
  • [4] Asadollahi A, Rashidi S, Esfahani JA. Simulation of liquid reaction and droplet formation on a moving micro-object by lattice Boltzmann method. Meccanica 2018;53:803–15. [CrossRef]
  • [5] Muhammad S, Anwar T, Asifa, Yavuz M. Comprehensive investigation of thermal and flow features of alloy-based nanofluid considering shape and Newtonian heating effects via new fractional approach. Fractals Fract 2023;7:150. [CrossRef]
  • [6] Asifa, Anwar T, Kumam P, Shah Z, Sitthithakerngkiet K. Significance of shape factor in heat transfer performance of molybdenum-disulfide nanofluid in multiple flow situations; A comparative fractional study. Molecules 2021;26:3711. [CrossRef]
  • [7] Anwar T, Asifa, Kumam P, El-Zahar ER, Muhammad S, Seddek LF. Thermal analysis of mineral oil-based hybrid nanofluid subject to time-dependent energy and flow conditions and multishaped nanoparticles. J Therm Anal Calorim 2024;149:6813–36. [CrossRef]
  • [8] Ezzatneshan E, Salehi A, Vaseghnia H. Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems. Heat Transf 2021;50:7604–31. [CrossRef]
  • [9] Chamkha AJ, Abbasbandy S, Rashad AM, Vajravelu K. Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Meccanica 2013;48:275–85. [CrossRef]
  • [10] Arabpour A, Karimipour A, Toghraie D, Akbari OA. Investigation into the effects of slip boundary condition on nanofluid flow in a double-layer microchannel. J Therm Anal Calorim 2018;131:2975–91. [CrossRef]
  • [11] Abbassi MA, Djebali R, Guedri K. Effects of heater dimensions on nanofluid natural convection in a heated incinerator shaped cavity containing a heated block. J Therm Eng 2018;4:2018–36. [CrossRef]
  • [12] Lv Y, Liu S. Topology optimization and heat dissipation performance analysis of a micro-channel heat sink. Meccanica 2018;53:3693–708. [CrossRef]
  • [13] Zade AQ, Renksizbulut M, Friedman J. Heat transfer characteristics of developing gaseous slip-flow in rectangular microchannels with variable physical properties. Int J Heat Fluid Flow 2011;32:117–27. [CrossRef]
  • [14] Eckstein Y, Yossifon G, Seifert A, Miloh T. Nonlinear electrokinetic phenomena around nearly insulated sharp tips in microflows. J Colloid Interface Sci 2009;338:243–9. [CrossRef]
  • [15] Sharp KV, Yazdi SH, Davison SM. Localized flow control in microchannels using induced-charge electroosmosis near conductive obstacles. Microfluid Nanofluidics 2011;10:1257–67. [CrossRef]
  • [16] Bera S, Bhattacharyya S. Electroosmotic flow in the vicinity of a conducting obstacle mounted on the surface of a wide microchannel. Int J Eng Sci 2015;94:128–38. [CrossRef]
  • [17] Roy G, Nguyen CT, Lajoie PR. Numerical investigation of laminar flow and heat transfer in a radial flow cooling system with the use of nanofluids. Superlattices Microstruct 2004;35:497–511. [CrossRef]
  • [18] Ho CJ, Wei LC, Li ZW. An experimental investigation of forced convective cooling performance of a microchannel heat sink with Al₂O₃/water nanofluid. Appl Therm Eng 2010;30:96–103. [CrossRef]
  • [19] Tsai TH, Chein R. Performance analysis of nanofluid-cooled microchannel heat sinks. Int J Heat Fluid Flow 2007;28:1013–26. [CrossRef]
  • [20] Jang SP, Choi SU. Cooling performance of a microchannel heat sink with nanofluids. Appl Therm Eng 2006;26:2457–63. [CrossRef]
  • [21] Alipour Lalami A, Kalteh M. Lattice Boltzmann simulation of nanofluid conjugate heat transfer in a wide microchannel: Effect of temperature jump, axial conduction and viscous dissipation. Meccanica 2019;54:135–53. [CrossRef]
  • [22] Santra AK, Sen S, Chakraborty N. Study of heat transfer due to laminar flow of copper–water nanofluid through two isothermally heated parallel plates. Int J Therm Sci 2009;48:391–400. [CrossRef]
  • [23] Rajan I, Perumal DA. Flow dynamics of lid-driven cavities with obstacles of various shapes and configurations using the lattice Boltzmann method. J Therm Eng 2021;7:83–102. [CrossRef]
  • [24] Bamdad K, Ashorynejad HR. Inverse analysis of a rectangular fin using the lattice Boltzmann method. Energy Convers Manag 2015;97:290–7. [CrossRef]
  • [25] Agarwal RK, Chusak L. Lattice Boltzmann simulations of slip flow of non-Newtonian fluids in microchannels. In: Hirschel EH, Periaux J, Satofuka N, editors. Parallel computational fluid dynamics 2008: Parallel numerical methods, software development and applications. Berlin: Springer; 2010. p. 247–56. [CrossRef]
  • [26] Navidbakhsh M, Rezazadeh M. A computational study of a capsule lateral migration in microchannel flow. Acta Mech Sin 2013;29:513– 25. [CrossRef]
  • [27] Javaherdeh K, Karimi H. Numerical analysis of mixed convection of sodium alginate non-Newtonian fluid with Al₂O₃ nanoparticle in a channel with block. J Appl Comput Sci Mech 2021;32:93–110.
  • [28] Huminic G, Huminic A. Entropy generation of nanofluid and hybrid nanofluid flow in thermal systems: A review. J Mol Liq 2020;302:112533. [CrossRef]
  • [29] Izadi M, Mohammadi SA, Mehryan SAM, Yang T, Sheremet MA. Thermogravitational convection of magnetic micropolar nanofluid with coupling between energy and angular momentum equations. Int J Heat Mass Transf 2019;145:118748. [CrossRef]
  • [30] Javaherdeh K, Karimi H, Azarbarzin T. Lattice Boltzmann simulation of fluid flow and heat transfer in a microchannel with heat sources located on the walls. Superlattices Microstruct 2021;160:107069. [CrossRef]
  • [31] Gokaltun S, Dulikravich GS. Lattice Boltzmann computations of incompressible laminar flow and heat transfer in a constricted channel. Comput Math Appl 2010;59:2431–41. [CrossRef]
  • [32] Tian ZW, Zou C, Liu HJ, Guo ZL, Liu ZH, Zheng CG. Lattice Boltzmann scheme for simulating thermal micro-flow. Physica A. 2007;385:59–68. [CrossRef]
  • [33] Chang C, Liu CH, Lin CA. Boundary conditions for lattice Boltzmann simulations with complex geometry flows. Comput Math Appl 2009;58:940–9. [CrossRef]
  • [34] Zhang YH, Qin RS, Sun YH, Barber RW, Emerson DR. Gas flow in microchannels–a lattice Boltzmann method approach. J Stat Phys 2005;121:257–67. [CrossRef]
There are 34 citations in total.

Details

Primary Language English
Subjects Aerodynamics (Excl. Hypersonic Aerodynamics)
Journal Section Research Article
Authors

Habib Karimi 0000-0001-5746-0786

Kourosh Javaherdeh 0000-0002-1570-011X

Publication Date July 31, 2025
Submission Date April 30, 2024
Acceptance Date September 25, 2024
Published in Issue Year 2025 Volume: 11 Issue: 4

Cite

APA Karimi, H., & Javaherdeh, K. (2025). Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method. Journal of Thermal Engineering, 11(4), 949-960. https://doi.org/10.14744/thermal.0000969
AMA Karimi H, Javaherdeh K. Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method. Journal of Thermal Engineering. July 2025;11(4):949-960. doi:10.14744/thermal.0000969
Chicago Karimi, Habib, and Kourosh Javaherdeh. “Numerical Investigation of Slip Flow and Temperature Jump of Nanofluid in a Microchannel With Square Obstacles Using Lattice Boltzmann Method”. Journal of Thermal Engineering 11, no. 4 (July 2025): 949-60. https://doi.org/10.14744/thermal.0000969.
EndNote Karimi H, Javaherdeh K (July 1, 2025) Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method. Journal of Thermal Engineering 11 4 949–960.
IEEE H. Karimi and K. Javaherdeh, “Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method”, Journal of Thermal Engineering, vol. 11, no. 4, pp. 949–960, 2025, doi: 10.14744/thermal.0000969.
ISNAD Karimi, Habib - Javaherdeh, Kourosh. “Numerical Investigation of Slip Flow and Temperature Jump of Nanofluid in a Microchannel With Square Obstacles Using Lattice Boltzmann Method”. Journal of Thermal Engineering 11/4 (July2025), 949-960. https://doi.org/10.14744/thermal.0000969.
JAMA Karimi H, Javaherdeh K. Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method. Journal of Thermal Engineering. 2025;11:949–960.
MLA Karimi, Habib and Kourosh Javaherdeh. “Numerical Investigation of Slip Flow and Temperature Jump of Nanofluid in a Microchannel With Square Obstacles Using Lattice Boltzmann Method”. Journal of Thermal Engineering, vol. 11, no. 4, 2025, pp. 949-60, doi:10.14744/thermal.0000969.
Vancouver Karimi H, Javaherdeh K. Numerical investigation of slip flow and temperature jump of nanofluid in a microchannel with square obstacles using lattice Boltzmann method. Journal of Thermal Engineering. 2025;11(4):949-60.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK http://eds.yildiz.edu.tr/journal-of-thermal-engineering