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Effect of heat generation on mixed convection in porous cavity with sinusoidal heated moving lid and uniformly heated or cooled bottom walls

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Abstract

Effect of heat generation and absorption on mixed convection flows in a sinusoidal heated lid-driven square cavity filled with a porous medium is investigated numerically. Both the vertical walls of the enclosure are insulated while the bottom wall is uniformly heated or cooled. The top wall is moving at a constant speed and is heated sinusoidally. The governing equations and boundary conditions are non-dimensionalized and solved numerically by using finite volume method approach along with SIMPLE algorithm together with non-uniform grid system. The effect of Darcy and heat generation parameters are investigated in terms of the flow, heat transfer, and Nusselt number. The results for stream function and isotherm are plotted and it is found that there have significant influence with the presence of heat generation and porous medium.

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References

  • Abu-Nada E, Chamkha AJ (2010) Mixed convection flow in a lid-driven inclined square enclosure filled with a nanouid. Eur J Mech B/Fluids 29:472–482

    Article  Google Scholar 

  • Adesanya SO, Souayeh B, Rahimi-Gorji M, Khan MN, Adeyemi OG (2019) Heat irreversibiility analysis for a couple stress fluid flow in an inclined channel with isothermal boundaries. J Taiwan Inst Chem Eng 101:251–258

    Article  Google Scholar 

  • Akermi M, Jaballah N, Alarifi IM, Rahimi-Gorji M, Chaabane RB, Ouada HB, Majdoub M (2019) Synthesis and characterization of a novel hydride polymer P-DSBT/ZnO nano-composite for optoelectronic applications. J Mol Liquids 287:110963

    Article  Google Scholar 

  • Al-Amiri A (2000) Analysis of momentum ad energy transfer in a lid-driven cavity filled with a porous medium. Int J Heat Mass Transf 43(19):3513–3527

    Article  Google Scholar 

  • Arani Abbasian, Sebdani SM, Mahmoodi M, Ardeshiri A, Aliakbari A (2012) Numerical study of mixed convection flow in an lid-driven cavity with sinusoidal heating on sidewalls using nanofluid. Superlattices Microstruct 51:893–911

    Article  Google Scholar 

  • Basak T, Roy S, Sharma PK, Pop I (2009) Analysis of mixed convection flows within a square cavity with uniform and non-uniform heating of bottom wall. Int J Therm Sci 48:891–912

    Article  Google Scholar 

  • Basak T, Roy S, Singh SK, Pop I (2010) Analysis of mixed convection in a lid-driven porous square cavity with linearly heated side wall(s). Int J Heat Mass Transf 53:1819–1840

    Article  Google Scholar 

  • Bettaibi S, Kuznik F, Sediki E (2016) Hybrid LBM-MRT model coupled with finite difference method for double-diffusive mixed convection in rectangular enclosure with insulated moving lid. Phys A 444:311–326

    Article  MathSciNet  Google Scholar 

  • Bhatti MM, Abbas MA (2016) Simultaneous effects of slip and MHD on peristaltic blood flow of Jeffrey fluid model through a porous medium. Alex Eng J 55:1017–1023

    Article  Google Scholar 

  • Bhatti MM, Ellahi R, Zeeshan A (2016) Study of variable magnetic field on the peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct having compliant walls. J Mol Liq 222:101–108

    Article  Google Scholar 

  • Bhatti MM, Zeeshan A, Ellahi R, Ijaz N (2017) Heat and mass transfer of two-phase flow with electric double layer effects induced due to peristaltic propulsion in the presence of transverse magnetic field. J Mol Liq 230:237–246

    Article  Google Scholar 

  • Bhatti MM, Zeeshan A, Ellahi R, Anwar Bég O, Kadir A (2019) Effects of coagulation on the two-phase peristaltic pumping of magnetized prandtl biofluid through an endoscopic annular geometry containing a porous medium. Chin J Phys 58:222–223

    Article  Google Scholar 

  • Chamkha AJ (2002) Hydromagnetic combined convection flow in a vertical lid-driven cavity with internal heat generation or absorption. Numerical Heat Transfer 41:529–546

    Article  Google Scholar 

  • Das S, Sahoo RK (1999) Effect of Darcy, fluid Rayleigh and heat generation parameters in natural convection in a porous square enclosure: a Brinkman-extended Darcy model. Int Commun Heat Mass Transfer 26(4):569–578

    Article  Google Scholar 

  • D’Orazio A, Karimipour A, Nezhad AH, Shirani E (2015) Lattice Boltzmann method with heat flux boundary condition applied to mixed convection in inclined lid driven cavity. Meccanica 50:945–962

    Article  MathSciNet  Google Scholar 

  • Elsherbiny SM, Ismail OI (2015) Heat transfer in inclined air rectangular cavities with two localized heat sources. Alex Eng J 54:917–927

    Article  Google Scholar 

  • Imberger J, Hamblin PF (1982) Dynamics of lakes, reservoirs, and cooling ponds. Rev Fluid Mech 14:153–187

    Article  Google Scholar 

  • Iwatsu R, Hyun JM, Kuwahara K (1993) Mixed convection in a driven cavity with a stable vertical temperature gradient. Int J Heat Mass Transf 36(6):1601–1608

    Article  Google Scholar 

  • Kahshan M, Dianchen L, Rahimi-Gorji M (2019) Hydrodynamical study of flow in a permeable channel: application to flat plate dialyzer. Int J Hydrogen Energy 44(31):17041–17047

    Article  Google Scholar 

  • Kefayati GHR (2014) Mixed convection of non-Newtonian nanofluids ows in a lid-driven enclosure with sinusoidal temperature profile using FDLBM. Powder Technol 266:268–281

    Article  Google Scholar 

  • Kefayati GHR (2015) FDLBM simulation of mixed convection in a lid-driven cavity filled with non-Newtonian nanofluid in the presence of magnetic field. Int J Therm Sci 95:29–46

    Article  Google Scholar 

  • Khanafer KM, Chamkha AJ (1998) Hydromagnetic natural convection from an inclined porous square enclosure with heat generation. Numer Heat Transf 33(8):891–910

    Article  Google Scholar 

  • Khanafer KM, Chamkha AJ (1999) Mixed convection flow in a lid-driven enclosure filled with a fluid-saturated porous medium. Int J Heat Mass Transf 42:2465–2481

    Article  Google Scholar 

  • Khanafer K, Vafai K (2002) Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid saturated porous medium. Numer Heat Transf A 42:465–486

    Article  Google Scholar 

  • Kumar KG, Rahimi-Gorji M, Reddy MG, Chamkha AJ, Alarifi IM (2019) Enhancement of heat transfer in a convergent/divergent channel by using carbon nanotubes in the presence of a Darcy-Forchheimer medium. Microsyst Technol. https://doi.org/10.1007/s00542-019-04489-x

    Article  Google Scholar 

  • Lage JL (1992) Effect of the convective inertia term on Benard convection in a porous medium. Numer Heat Transf 22:469–485

    Article  Google Scholar 

  • Louaraychi A, Lamsaadi M, Naïmi M, El-Harfi H, Kaddiri M, Raji A, Hasnaoui M (2019) Mixed convection heat transfer correlations in shallow rectangular cavities with single and double-lid driven boundaries. Int J Heat Mass Transf 132:394–406

    Article  Google Scholar 

  • Mahapatra TR, Pal D, Mondal S (2013) Mixed convection flow in an inclined enclosure under magnetic field with thermal radiation and heat generation. Int Commun Heat Mass Transf 41:47–56

    Article  Google Scholar 

  • Moallemi MK, Jang KS (1992) Prandtl number effects on laminar mixed convection heat transfer in a lid-driven cavity. Int J Heat Mass Transf 35(8):1881–1892

    Article  Google Scholar 

  • Muthtamilselvan M, Doh DH (2014a) Magnetic field effect on mixed convection in a lid-driven square cavity filled with nanofluids. J Mech Sci Technol 28:137–143

    Article  Google Scholar 

  • Muthtamilselvan M, Doh DH (2014b) Mixed convection of heat generating nanouid in a lid-driven cavity with uniform and non-uniform heating of bottom wall. Appl Math Model 38:3164–3174

    Article  MathSciNet  Google Scholar 

  • Muthtamilselvan M, Das MK, Kandaswamy P (2010a) Convection in a lid-driven heat-generating porous cavity with alternative thermal boundary conditions. Transp Porous Media 82:337–346

    Article  Google Scholar 

  • Muthtamilselvan M, Das MK, Kandaswamy P (2010b) Convection in a lid-driven heat-generating porous cavity with alternative thermal boundary conditions. Transp Porous Media 82:337–346

    Article  Google Scholar 

  • Nayak K, Jena PK, Lakshmi Narayana PA (2014) Flow simulation and mixed convection in a lid-driven square cavity with saturated porous media. J Porous Media 17(6):537–548

    Article  Google Scholar 

  • Nield DA, Bejan A (1998) Convection in porous media. Springer-Verlag, New York

    MATH  Google Scholar 

  • Patankar SV (1980) Numerical heat transfer and fluid flow. Hemisphere, Washington, D C

    MATH  Google Scholar 

  • Pekmen, Tezer-Sezgin M (2014) MHD flow and heat transfer in a lid-driven porous enclosure. Comput Fluids 89:191–199

    Article  MathSciNet  Google Scholar 

  • Pilkington LAB (1969) Review Lecture: the float glass process. Proc R Soc Lond IA 314:1–25

    Google Scholar 

  • Saha S, Hasan MN, Saha G and Islam MQ (2010) Effect of inclination angle on mixed convection in a lid-driven square enclosure with internal heat generation or absorption. In: International conference on mechanical, industrial and energy engineering

  • Sivasankaran S, Sivakumar V, Prakash P (2010) Numerical study on mixed convection in a lid-driven cavity with non-uniform heating on both side walls. Int J Heat Mass Transf 53:4304–4315

    Article  Google Scholar 

  • Vishnuvardhanarao E, Das MK (2008) Laminar mixed convection in a parallel two-sided lid-driven differentially heated square cavity filled with a fluid-saturated porous medium. Numer Heat Transf A 53:88–110

    Article  Google Scholar 

  • Zainuddin N, Sufahani SF, Karimipour A, Ali M, Roslan R (2018) Hydromagnetic mixed convection flow in an inclined cavity. JP J Heat Mass Transf 15(3):543–568

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the financial support received from the Universiti Tun Hussein Onn Malaysia grant Tier1/H184.

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Authors and Affiliations

  1. Mechanical Engineering Department, College of Engineering, Shaqra University, P.O. 11911, Dawadmi, Riyadh, Saudi Arabia

    Adel Alblawi

  2. Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, 86400, Johor, Malaysia

    N. Zainuddin, R. Roslan & N. A. Bakar

  3. Faculty of Medicine and Health Science, Ghent University, 9000, Ghent, Belgium

    Mohammad Rahimi-Gorji

  4. Division of Computational Mechatronics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Hoang-Thinh Do

  5. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Hoang-Thinh Do

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  1. Adel Alblawi
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  2. N. Zainuddin
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  3. R. Roslan
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  4. Mohammad Rahimi-Gorji
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  5. N. A. Bakar
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  6. Hoang-Thinh Do
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Correspondence to Hoang-Thinh Do.

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Alblawi, A., Zainuddin, N., Roslan, R. et al. Effect of heat generation on mixed convection in porous cavity with sinusoidal heated moving lid and uniformly heated or cooled bottom walls. Microsyst Technol 26, 1531–1542 (2020). https://doi.org/10.1007/s00542-019-04690-y

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