MHD Mixed Convection of Developing Slip Flow in a Vertical Porous Microchannel Under Local Thermal Non–Equilibrium Conditions

References

• F. Hai, W. Zhu, S. Liang, X. Yang, and Y. Deng, “Enhanced pool boiling performance of microchannel patterned surface with extremely low wall superheat through capillary feeding of liquid.” Nanoscale Microscale Thermophys. Eng., vol. 24, no. 2, pp. 66–79, 2020. DOI: 10.1080/15567265.2020.1744776.
   Web of Science ®Google Scholar
• C. Ji, Z. Liu, M. Lv, and J. Li, “Experimental investigation on flow past an isolated micro pin fin embedded in a microchannel.” Nanoscale Microscale Thermophys. Eng., vol. 26, no. 1, pp. 17–39, 2022. DOI: 10.1080/15567265.2021.2019861.
   Web of Science ®Google Scholar
• V. Goodarzi, S. H. Jafarbeygi, R. A. Taheri, M. Sheremet, and M. Ghalambaz, “Numerical investigation of mixing by induced electrokinetic flow in T–micromixer with conductive curved arc plate,” Symmetry, vol. 13, no. 6, pp.915, 2021. DOI: 10.3390/sym13060915.
   Google Scholar
• R. Choudhari, et al., “Electro-kinetically modulated peristaltic mechanism of Jeffrey liquid through a micro-channel with variable viscosity,” Thermal Sci., vol. 25, no. Spec. issue 2, pp.271–277, 2021. DOI: 10.2298/TSCI21S2271C.
   Google Scholar
• S. Bazkhane and I. Zahmatkesh. “Taguchi–based sensitivity analysis of hydrodynamics and heat transfer of nanofluids in a microchannel heat sink (MCHS) having porous substrates.” Int. Commun. Heat Mass Transfer., vol. 118, pp. 104885, 2020. DOI:10.1016/j.icheatmasstransfer.2020.104885.
   Web of Science ®Google Scholar
• I. Zahmatkesh, M. M. Alishahi, and H. Emdad, “New velocity–slip and temperature–jump boundary conditions for navier–Stokes computation of gas mixture flows in microgeometries.” Mech. Res. Commun., vol. 38, no. 6, pp. 417–424, 2011. DOI: 10.1016/j.mechrescom.2011.06.001.
   Web of Science ®Google Scholar
• I. Zahmatkesh, H. Emdad, and M. M. Alishahi, “Multifluid description of rarefied gas mixture flows.” J. Therm. Eng., vol. 6, no. 3, pp. 405–421, 2020. DOI: 10.18186/thermal.712678.
   Web of Science ®Google Scholar
• M. Akbari and M. Ghasemi, “A novel kinetic–based slip velocity boundary condition suitable for compressible gas flows in micro–/nanochannels,” Acta Mech., vol. 229, no. 11, pp.4471–4484, 2018. DOI: 10.1007/s00707–018–2236–x.
   Web of Science ®Google Scholar
• N. T. Le, N. H. Tran, T. N. Tran, and T. T. Tran, “New slip boundary condition in high–speed rarefied gas flow simulations,” Proc. IMechE, Part G: J Aero. Eng., vol. 234, no. 3, pp.840–856, 2020. DOI: 10.1177/0954410019886955.
   Web of Science ®Google Scholar
• M. A. Thani and M. A. Ismael, “Numerical study of jet impingement on heated sink covered by a porous layer,” Basrah J. Eng. Sci., vol. 22, no. 2, pp.1–9, 2022. DOI: 10.33971/bjes.22.2.1.
   Google Scholar
• M. A. Ismael, O. Younes, M. Fteiti, M. Ghalambaz, and R. Z. Homod. “Impingement jets on a confined assembly of rotating hot cylinder covered by a surface porous layer.” Appl. Therm. Eng., vol. 229, pp. 120470, 2023. DOI:10.1016/j.applthermaleng.2023.120470.
   Web of Science ®Google Scholar
• Z. Haddad, F. Iachachene, M. A. Sheremet, and E. Abu–Nada. “Numerical investigation and optimization of melting performance for thermal energy storage system partially filled with metal foam layer: new design configurations.” Appl. Therm. Eng., vol. 223, pp. 119809, 2023. DOI:10.1016/j.applthermaleng.2022.119809.
   Web of Science ®Google Scholar
• S. Hussain, M. A. Qureshi, and S. E. Ahmed. “Impact of wavy porous layer on the hydrodynamic forces and heat transfer of hybrid nanofluid flow in a channel with cavity under the effect of partial magnetic field.” J. Non–Equilib. Thermodyn., vol. 48, pp. 255–269, 2023. DOI:10.1515/jnet-2022-0070.
   Web of Science ®Google Scholar
• O. M. Haddad, M. A. Al–Nimr, and Y. Taamneh, “Hydrodynamic and thermal behavior of gas flow in microchannels filled with porous media.” J. Porous Med., vol. 9, no. 5, pp. 403–414, 2006. DOI: 10.1615/JPorMedia.v9.i5.20.
   Web of Science ®Google Scholar
• O. M. Haddad, M. A. Al–Nimr, and M. S. Sari, “Forced convection gaseous slip flow in circular porous micro–channels,” Transp. Porous. Med., vol. 70, no. 2, pp.167–179, 2007. DOI: 10.1007/s11242–006–9093–0.
   Web of Science ®Google Scholar
• A. Goli and I. Zahmatkesh. “Slip flow in porous micro–tubes under local thermal non–equilibrium conditions.” Transp. Phenom. Nano Micro Scales, vol. 6, pp. 79–87, 2018. DOI:10.22111/TPNMS.2018.4034.
   Google Scholar
• H. Shokouhmand, A. H. M. Isfahani, and E. Shirani, “Friction and heat transfer coefficient in micro and nano channels filled with porous media for wide range of Knudsen number,” Int. Commun. Heat Mass Transfer., vol. 37, no. 7, pp.890–894, 2010. DOI: 10.1016/j.icheatmasstransfer.2010.04.008.
   Web of Science ®Google Scholar
• D. A. Neild and A. V. Kuznetsov, “Forced convection with slip–flow in a channel or duct occupied by hyper–porous medium saturated by rarefied gas,” Transp. Porous Med., vol. 64, no. 2, pp.161–170, 2006. DOI: 10.1007/s11242–005–2341–x.
   Web of Science ®Google Scholar
• K. Hooman, “Heat and fluid flow in rectangular microchannel filled with a porous medium,” Int. J. Heat Mass Transfer., vol. 51, no. 25–26, pp.5804–5810, 2008. DOI: 10.1016/j.ijheatmasstransfer.2008.05.010.
   Web of Science ®Google Scholar
• K. Wang, F. Tavakkoli, S. Wang, and K. Vafai. “Forced convection gaseous slip flow in a porous circular microtube: an exact solution.” Int. J. Therm. Sci., vol. 97, pp. 152–162, 2015. DOI:10.1016/j.ijthermalsci.2015.06.003.
   Web of Science ®Google Scholar
• Y. Mahmoudi. “Constant wall heat flux boundary condition in micro–channels filled with porous medium with internal heat generation under local thermal non–equilibrium condition.” Int. J. Heat Mass Transfer., vol. 85, pp. 524–542, 2015. DOI:10.1016/j.ijheatmasstransfer.2015.01.134.
   Web of Science ®Google Scholar
• B. Buonomo, O. Manca, and G. Lauriat. “Forced convection in micro–channels filled with porous media in local thermal non–equilibrium conditions.” Int. J. Heat Mass Transfer., vol. 77, pp. 206–222, 2014. DOI:10.1016/j.ijthermalsci.2013.11.003.
   Google Scholar
• B. Buonomo, O. Manca, and G. Lauriat. “Forced convection in porous microchannels with viscous dissipation in local thermal non–equilibrium conditions.” Int. Commun. Heat Mass Transfer., vol. 76, pp. 46–54, 2016. DOI:10.1016/j.icheatmasstransfer.2016.05.004.
   Web of Science ®Google Scholar
• H. Xu, C. Zhao, and K. Vafai. “Analytical study of flow and heat transfer in an annular porous medium subject to asymmetrical heat fluxes.” Heat Mass Transfer., vol. 53, pp. 2663–2676, 2017. DOI:10.1007/s00231–017–2011–x.
   Web of Science ®Google Scholar
• M. Ghalambaz, T. Groşan, and I. Pop. “Mixed convection boundary layer flow and heat transfer over a vertical plate embedded in a porous medium filled with a suspension of nano–encapsulated phase change materials.” J. Mol. Liq., vol. 293, pp. 111432, 2019. DOI:10.1016/j.molliq.2019.111432.
   Web of Science ®Google Scholar
• I. Zahmatkesh and S. A. Naghedifar, “Oscillatory mixed convection in jet impingement cooling of a horizontal surface immersed in a nanofluid–saturated porous medium.” Numer. Heat Transfer, Part A, vol. 72, no. 5, pp. 401–416, 2017. DOI: 10.1080/10407782.2017.1376961.
   Web of Science ®Google Scholar
• M. R. Habibi and I. Zahmatkesh, “Double–diffusive natural and mixed convection of binary nanofluids in porous cavities,” J. Porous Med., vol. 23, no. 10, pp.955–967, 2020. DOI: 10.1615/JPorMedia.2020027144.
   Web of Science ®Google Scholar
• U. Khan, A. Zaib, M. Sheikholeslami, A. Wakif, and D. Baleanu, “Mixed convective radiative flow through a slender revolution bodies containing molybdenum–disulfide graphene oxide along with generalized hybrid nanoparticles in porous media,” Crystals, vol. 10, no. 9, pp.771, 2020. DOI: 10.3390/cryst10090771.
   Web of Science ®Google Scholar
• Y. Wang and G. Qin, “Accurate numerical simulation for non–Darcy double–diffusive mixed convection in a double lid–driven porous cavity using SEM.” Numer. Heat Transfer, Part A, vol. 75, no. 9, pp. 598–615, 2019. DOI: 10.1080/10407782.2019.1608764.
   Web of Science ®Google Scholar
• M. Avci and O. Aydin, “Mixed convection in a vertical parallel plate microchannel.” J. Heat Transfer, vol. 129, no. 2, pp. 162–166, 2007. DOI: 10.1115/1.2422741.
   Web of Science ®Google Scholar
• M. Moslehi and M. Saghafian, “MHD mixed convection slip flow in a vertical parallel plate microchannel heated at asymmetric and uniform heat flux.” J. Mech. Sci. Technol., vol. 29, no. 12, pp. 5317–5324, 2015. DOI: 10.1007/s12206–015–0739–0.
   Web of Science ®Google Scholar
• A. A. Avramenko, et al. “Mixed convection in a vertical circular microchannel.” Int. J. Therm. Sci., vol. 121, pp. 1–12, 2017. DOI:10.1016/j.ijthermalsci.2017.07.001.
   Web of Science ®Google Scholar
• A. N. Altunkaya, M. Avci, and O. Aydin. “Effects of viscous dissipation on mixed convection in a vertical parallel–plate microchannel with asymmetric uniform wall heat fluxes: the slip regime.” Int. J. Heat Mass Transfer., vol. 111, pp. 495–499, 2017. DOI:10.1016/j.ijheatmasstransfer.2017.03.099.
   Web of Science ®Google Scholar
• B. K. Jha and B. Aina, “Role of suction/injection on steady fully developed mixed convection flow in a vertical parallel plate microchannel.” Ain. Shams Eng. J., vol. 9, no. 4, pp. 747–755, 2018. DOI: 10.1016/j.asej.2016.05.001.
   Web of Science ®Google Scholar
• B. K. Jha, D. Daramola, and A. O. Ajibade, “Steady fully developed mixed convection flow in a vertical parallel plate micro–channel with bilateral heating and filled with porous material,” Proc. IMechE, Part E: J. Process Mech. Eng., vol. 227, no. 1, pp.56–66, 2013. DOI: 10.1177/0954408912457622.
   Google Scholar
• V. Leela, K. N. Seetharamu, N. Kotloni, and R. G. Reddy, “Effect of asymmetrical wall heat flux and wall temperature ratio on mixed convection in a vertical micro–porous–channel with internal heat generation,” Propuls. Power Res., vol. 9, no. 4, pp.394–407, 2020. DOI: 10.1016/j.jppr.2020.10.003.
   Web of Science ®Google Scholar
• A. J. Chamkha, A. M. Rashad, M. A. Mansour, T. Armaghani, and M. Ghalambaz, “Effects of heat sink and source and entropy generation on MHD mixed convection of a cu–water nanofluid in a lid–driven square porous enclosure with partial slip,” Phys. Fluids, vol. 29, no. 5, pp.052001, 2017. DOI: 10.1063/1.4981911.
   Web of Science ®Google Scholar
• I. Zahmatkesh and M. R. H. Shandiz, “Optimum constituents for MHD heat transfer of nanofluids within porous cavities: a Taguchi analysis in natural and mixed convection configurations.” J. Therm. Anal. Calorim, vol. 138, no. 2, pp. 1669–1681, 2019. DOI: 10.1007/s10973–019–08191–y.
   Web of Science ®Google Scholar
• I. Zahmatkesh and M. R. H. Shandiz, “MHD double-diffusive mixed convection of binary nanofluids through a vertical porous annulus considering Buongiorno’s two-phase model,” J. Therm. Anal. Calorim, vol. 147, no. 2, pp.1793–1807, 2022. DOI: 10.1007/s10973–020–10439–x.
   Web of Science ®Google Scholar
• B. K. Jha and B. Aina, “MHD mixed convection flow in an inclined porous channel having time–periodic boundary condition (MHD mixed convection flow in an inclined porous channel,” J. Porous. Med., vol. 24, no. 6, pp.69–91, 2021. DOI: 10.1615/JPorMedia.v24.i6.50.
   Web of Science ®Google Scholar
• A. T. Akinshilo. “Mixed convective heat transfer analysis of MHD fluid flowing through an electrically conducting and non–conducting walls of a vertical micro–channel considering radiation effect.” Appl. Therm. Eng., vol. 156, pp. 506–513, 2019. DOI:10.1016/j.applthermaleng.2019.04.100.
   Web of Science ®Google Scholar
• R. Rabhi, B. Amami, H. Dhahri, and A. Mhimid. “Entropy generation for an axisymmetric MHD flow under thermal non–equilibrium in porous micro duct using a modified lattice Boltzmann method.” J. Mag. Mag. Mat., vol. 419, pp. 521–532, 2016. DOI:10.1016/j.jmmm.2016.06.068.
   Web of Science ®Google Scholar
• M. Torabi and G. P. Peterson. “Effect of velocity slip and temperature jump on the heat transfer and entropy generation in micro porous channels under magnetic field.” Int. J. Heat Mass Transfer., vol. 102, pp. 585–595, 2016. DOI:10.1016/j.ijheatmasstransfer.2016.06.080.
   Web of Science ®Google Scholar
• D. Neild and A. Bejan, Convection in Porous Media. New York: Springer, 2006.
   Google Scholar
• R. K. Shah and A. L. London, Laminar Flow Forced Convection in Ducts: A Source Book for Compact Heat Exchanger Analytical Data. New York: Academic Press, 1978.
   Google Scholar
• A. Hooshmand, I. Zahmatkesh, M. Karami, and S. Delfani. “Porous foams and nanofluids for thermal performance improvement of a direct absorption solar collector: an experimental study.” Environ. Prog. Sustain. Energy, vol. 40, pp. 13684, 2021. DOI:10.1002/ep.13684.
   Web of Science ®Google Scholar