MHD forced convection using ferrofluid over a backward facing step containing a finned cylinder

• Autorzy: Toumi Meriem , Bouzit Mohamed , Bouzit Fayçal , Mokhefi Abderrahim

Identyfikatory

DOI

10.2478/ama-2022-0009

• Języki publikacji: EN

Abstrakty

EN

In this paper, a numerical study of forced convection on a backward facing step containing a single-finned fixed cylinder has been performed, using a ferrofluid and external magnetic field with different inclinations. The partial differential equations, which determine the conservation equations for mass, momentum and energy, were solved using the finite element scheme based on Galerkin’s method. The analysis of heat transfer characteristics by forced convection was made by taking different values of the Reynolds number (Re between 10 and 100), Hartmann number (Ha between 0 and 100), nanoparticles concentration (φ between 0 and 0.1) and magnetic field inclination (γ between 0° and 90°); also, several fin positions α [0°–180°] were taken in the counter clockwise direction by a step of 5. After analysing the results, we concluded that Hartmann number, nanoparticles concentration, Reynolds number and magnetic field angles have an influence on the heat transfer rate. However, the fin position on the cylinder has a big impact on the Nusselt number and therefore on heat transfer quality. The best position of the fin is at (α = 150°), which gives the best Nusselt number and therefore the best heat trans-fer, but the fin position at (α = 0°) remains an unfavourable case that gives the lowest Nusselt values.

Słowa kluczowe

EN

fin positions; forced convection; nanoparticles; heat transfer; finned cylinder; magnetohydrodynamic; backward facing step

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2022
• Tom: Vol. 16, no. 1
• Strony: 70--81
• Opis fizyczny: Bibliogr. 29 poz., rys., tab., wykr.

Twórcy

autor

Toumi Meriem

• Laboratory of Maritime Sciences and Engineering LSIM Faculty of Mechanical Engineering, University of Science and Technology of Oran, Mohamed Boudiaf, El Mnaouar, B.P.1505, 31000, Oran, Algeria

• https://orcid.org/0000-0001-7840-0424

autor

Bouzit Mohamed

• Laboratory of Maritime Sciences and Engineering LSIM Faculty of Mechanical Engineering, University of Science and Technology of Oran, Mohamed Boudiaf, El Mnaouar, B.P.1505, 31000, Oran, Algeria

• https://orcid.org/0000-0002-1417-7291

autor

Bouzit Fayçal

• Laboratory of Maritime Sciences and Engineering LSIM Faculty of Mechanical Engineering, University of Science and Technology of Oran, Mohamed Boudiaf, El Mnaouar, B.P.1505, 31000, Oran, Algeria.

• https://orcid.org/0000-0003-4718-0830

autor

Mokhefi Abderrahim

• Mechanics, Modeling and Experimentation Laboratory L2ME, Faculty of Sciences and Technology, Bechar University B.P.417, 08000, Bechar, Algeria

• https://orcid.org/0000-0002-2036-2186

Bibliografia

• 1. Erturk E. Numerical solutions of 2-D steady incompressible flow over a backward-facing step, Part I: High Reynolds number solutions. Computers & Fluids. 2008; 37:633–655.
• 2. Ternik P. New contributions on laminar flow of inelastic non-Newtonian fluid in the two-dimensional symmetric expansion: Creep-ing and slowly moving flow conditions. J Non-Newtonian Fluid Mech. 2010; 165:1400–1411.
• 3. Xie WA, Xi GN. Fluid flow and heat transfer characteristics of separa-tion and reattachment flow over a backward-facing step. Int J of re-frigeration. 2017; 74:177–189.
• 4. Lan H, Armaly BF, Drallmeier JA. Three-dimensional simulation of turbulent forced convection in a duct with backward-facing step. Int J of Heat and Mass Transfer. 2009; 52:1690–1700.
• 5. Khanafer K, Al-Azmi B, Al-Shammari A, Pop I. Mixed convection analysis of laminar pulsating flow and heat transfer over a backward-facing step. Intl J of Heat and Mass Transfer. 2008; 51:5785–5793.
• 6. Barrios-Pina H, Viazzo S, Rey C. A numerical study of laminar and transitional mixed convection flow over a backward-facing step. Computers & Fluids. 2012; 56:77–91.
• 7. Zhao P, Ge Z, Zhu J, Liu J, Ye M. Quasi-direct numerical simulation of forced convection over a backward facing step: Effect of Prandtl number. Nuclear Engineering and Design. 2018; 335:374–388.
• 8. Kumar S, Vengadesan S. The effect of fin oscillation in heat transfer enhancement in separated flow over a backward facing step. Int J of Heat and Mass Transfer. 2019; 128:954–963.
• 9. Kumar A, Dhiman AK. Effect of a circular cylinder on separated forced convection at a backward-facing step. Int J of Thermal Sci-ences. 2012; 52:176-185.
• 10. Hussain S, Ahmed SE, Akbar T. Entropy generation analysis in MHD mixed convection of hybrid nanofluid in an open cavity with a hori-zontal channel containing an adiabatic obstacle. Int J of Heat and Mass Transfer. 2017; 114:1054–1066
• 11. Kherbeet ASh, Mohammed HA, Munisamy KM, Salman BH. The effect of step height of microscale backward-facing step on mixed convection nanofluid flow and heat transfer characteristics. Int J of Heat and Mass Transfer. 2014; 68:554–566.
• 12. Abu-Nada E. Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step. Int J of Heat and Fluid Flow. 2008; 29:242–249.
• 13. Kherbeet AS, Mohammed HA, Salman BH. The effect of nanofluids flow on mixed convection heat transfer over microscale backward-facing step. Int J of Heat and Mass Transfer. 2012; 55:5870–5881.
• 14. Hussain S. Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer through a Porous Media with Thermal Radi-ation, Viscous Dissipation and Chemical Reaction Effects. Advances in Applied Mathematics and Mechanics Adv. Appl. Math. Mech. 2017; 9(4):904-923.
• 15. Nath R, Krishnan M. Numerical study of double diffusive mixed convection in a backward facing step channel filled with Cu-water nanofluid. Int J of Mechanical Sciences. 2019; 153(154):48–63.
• 16. Lv J, Hu C, Bai M, Li L, Shi L, Gao D. Visualization of SiO2-water nanofluid flow characteristics in backward facing step using PIV. Ex-perimental Thermal and Fluid Science. 2019; 101:151–159.
• 17. Hilo AK, Abu Talib A, Iborra AA, Hameed Sultan MT, Abdul Hamid MF. Experimental study of nanofluids flow and heat transfer over a backward-facing step channel. Powder Technology. 2020; 372:497–505.
• 18. Mohammed H A, Alawi O A, Wahid M A. (2015), Mixed convective nanofluid flow in a channel having backward-facing step with a baffle, Powder Technology, 275, 329–343.
• 19. Ma Y, Mohebbi R, Rashidi MM, Yang Z, Fang Y. Baffle and geometry effects on nanofluid forced convection over forward and backward-facing steps channel by means of lattice Boltzmann method. Physica A. 2020; 554,124696.
• 20. Selimefendigil F, Öztop HF. Identification of forced convection in pulsating flow at a backward facing step with a stationary cylinder subjected to nanofluid. Int Communications in Heat and Mass Trans-fer. 2013;45:111–121.
• 21. Selimefendigil F, Öztop HF. Numerical investigation and reduced order model of mixed convection at a backward facing step with a ro-tating cylinder subjected to nanofluid. Computers & Fluids. 2015b; 109:27–37.
• 22. Mohammed HA, Fathinia F, Vuthaluru HB, Liu S. CFD based investi-gations on the effects of blockage shapes on transient mixed convec-tive nanofluid flow over a backward facing step. Powder Technology. 2019;346:441–451.
• 23. Selimefendigil F, Öztop HF. Effect of a rotating cylinder in forced convection of ferrofluid over a backward facing step. Int J of Heat and Mass Transfer. 2014;71:142–148.
• 24. Selimefendigil F, Öztop HF. Influence of inclination angle of magnetic field on mixed convection of nanofluid flow over a backward facing step and entropy generation. Advanced Powder Technology. 2015a; 26:1663–1675.
• 25. Hussein AK, Bakier MA, Ben Hamida MB, Sivasankaran S. Magneto-hydrodynamic natural convection in an inclined T-shaped enclosure for different nanofluids and subjected to a uniform heat source. Alex-andria Engineering J. 2016; 55:2157–2169.
• 26. Hussain S, Armaghani T, Jamal M. Magnetoconvection and Entropy Analysis in T-Shaped Porous Enclosure Using Finite Element Meth-od. J of thermophysics and heat transfer. 2019. Available from: https://doi.org/10.2514/1.T5821
• 27. Geridönmez BP, Öztop HF. Effects of inlet velocity profiles of hybrid nanofluid flow on mixed convection through a backward facing step channel under partial magnetic field. Chemical Physics. 2021; 540:111010.
• 28. Hussain S, Öztop HF. Impact of inclined magnetic field and power law fluid on double diffusive mixed convection in lid-driven curvilinear cavity. Int Communications in Heat and Mass Transfer. 2021; 127:105549. https://doi.org/10.1016/j.icheatmasstransfer.2021.105549
• 29. Hussain S, Ahmed S E. Unsteady MHD forced convection over a backward facing step including a rotating cylinder utilizing Fe3O4-water ferrofluid. J of Magnetism and Magnetic Materials. 2019; 484:356–366.