Three-Dimensional Analysis of Forced Convection Fluid Flow in a Duct with Step Considering the Interacting Influences of the Magnetic Field and Solid Nanoparticles
1
Mechanical Engineering Department Sirjan University of Technology
2
Mechanical Engineering Department, Sirjan University of Technology, Sirjan, Iran
Abstract
In this research, interaction influences of magnetic field and solid nanoparticles on three-dimensional forced convection flow in a horizontal duct with an inclined backward-facing step are studied. The nanofluid is considered as the working fluid in duct. The Blocked region method is applied to simulate the inclined backward-facing step in Cartesian coordinates. To obtain the velocity and temperature fields, the Navier-Stokes and energy equations are solved using the Finite volume method and SIMPLE algorithm. Influences of Hartmann number and concentrations of nanoparticles on the velocity and temperature fields in duct and distributions of fiction coefficient and Nusselt number along the bottom wall of duct are analyzed with full details. Results of this research clearly show that the hydrodynamics and thermal behaviors of flow are considerably dependent on the magnetic field strength and volume fractions of nanoparticles. In fact, the highest values of fiction coefficients and heat transfer rates on the bottom wall are related to the case of and .
Gholamrezaee, H., Raisi, A., and Ghasemi, B. “Mixed Convection of a Water-Al2O3 Nanofluid in an Open Square Cavity, Containing a Solid Body Heat Source”, Fluid. Mec. Aero., Vol. 6, No. 1, pp. 13–26, 2017 (In Persian).##
Upadhya, S.M., Raju, C.S.K., and Saleem, S. “Nonlinear Unsteady Convection on Micro and Nanofluids with Cattaneo-Christov Heat Flux”, Results Phys., Vol. 9, pp. 779-786, 2018.##
Sheikholeslami, M. and Rokni, H.B. “Numerical Simulation for Impact of Coulomb Force on Nanofluid Heat Transfer in a Porous Enclosure in Presence of Thermal Radiation”, Int. J. Heat Mass Tran., Vol. 118, pp. 823-831, 2018.##
Nasiri, H., Jamalabadi, M.Y.A., Sadeghi, R., Safaei, M.R., Nguyen, T.K., and Shadloo, M.S. “A Smoothed Particle Hydrodynamics Approach for Numerical Simulation of Nano-fluid Flows”, J. Therm. Anal. Calorim., Vol. 135, No. 3, pp. 1733-1741, 2019.##
Rashidi, S., Eskandarian, M., Mahian, O., and Poncet, S. “Combination of Nanofluid and Inserts for Heat Transfer Enhancement”, J. Therm. Anal. Calorim., Vol. 135, No. 1, pp. 437-460, 2019.##
Waini, I., Ishak, A., and Pop, I. “Transpiration Effects on Hybrid Nanofluid Flow and Heat Transfer over a Stretching/Shrinking Sheet with Uniform Shear Flow”, Alexandria Eng. J., Vol. 59, No. 1, pp. 91-99, 2020##
Waini, I., Ishak, A., Groşan, T., and Pop, I. “Mixed Convection of a Hybrid Nanofluid Flow along a Vertical Surface Embedded in a Porous Medium”, Int. Commun. Heat Mass, Vol. 114, Article Number: 104565, 2020.##
Sidik, N.A.C., Mohammed, H.A., Alawi, O.A., and Samion, S. “A Review on Preparation Methods and Challenges of Nanofluids”, Int. Commun. Heat Mass, Vol. 54, pp. 115-125, 2014.##
Sidik, N.A.C., Samion, S., Musa, M.N., Muhammad, M.J., Muhammad, A.I., Yazid, M.N.A.W.M., and Mamat, R. “The Significant Effect of Turbulence Characteristics on Heat Transfer Enhancement, Using Nanofluids: A Comprehensive Review”, Int. Commun. Heat Mass, Vol. 72, pp. 39-47, 2016.##
Shah, Z., Gul, T., Islam, S., Khan, M.A., Bonyah, E., Hussain, F., Mukhtar, S., and Ullah, M. “Three Dimensional Third Grade Nanofluid Flow in a Rotating System Between Parallel Plates with Brownian Motion and Thermophoresis Effects”, Results Phys., Vol. 10, pp.36-45, 2018.##
Kumar, M.S., Sandeep, N., Kumar, B.R., and Saleem, S. “Effect of Aligned Magnetic Field on MHD Squeezing Flow of Casson Fluid between Parallel Plates”, In Defect and Diffus. Forum, Vol. 384, pp. 1-11, 2018.##
Shehzad, S.A., Sheikholeslami, M., Ambreen, T., Shafee, A., and Babazadeh, H. “Examination of CVFEM for Nanofluid Free Convection MHD Flow through Permeable Medium”, Appl. Nanosci., Vol. 10, pp. 3269–3277, 2020.##
Kumar, K.A., Sugunamma, V., and Sandeep, N. “Influence of Viscous Dissipation on MHD Flow of Micropolar Fluid over a Slendering Stretching Surface with Modified Heat Flux Model”, J. Therm. Anal. Calorim., Vol. 139, No. 6, pp. 3661-3674, 2020.##
Jha, B.K., Aina, B., and Ajiya, A.T. “MHD Natural Convection Flow in a Vertical Parallel Plate Microchannel”, Ain Shams Eng. J., Vol. 6, No. 1, pp.289-295, 2015.##
Sajjadi, H., Delouei, A.A., Sheikholeslami, M., Atashafrooz, M., and Succi, S. “Simulation of Three Dimensional MHD Natural Convection using Double MRT Lattice Boltzmann Method”, Physica A, Vol. 515, pp. 474-496, 2019.##
Keyhanpour, M., and Ghasemi M. “Numerical Analysis of Heat and Mass Transfer of Magnetic Nanoparticles in a Non-Newtonian Blood Flow, under Influence of Magnetic Field”, Fluid. Mec. Aero., Vol. 7, No. 1, pp. 19–31, 2017 (In Persian).##
Animasaun, I.L., Mahanthesh, B., Jagun, A.O., Bankole, T.D., Sivaraj, R., Shah, N.A., and Saleem, S. “Significance of Lorentz Force and Thermoelectric on the Flow of 29 nm CuO–Water Nanofluid on an Upper Horizontal Surface of a Paraboloid of Revolution”, J. HEAT TRANSF., Vol. 141, No. 2, pp. 022402 (1-9), 2019.##
Mehryan, S.A.M., Izadi, M., Namazian, Z., and Chamkha, A.J. “Natural Convection of Multi-Walled Carbon Nanotube–Fe3O4/Water Magnetic Hybrid Nanofluid Flowing in Porous Medium Considering the Impacts of Magnetic Field-Dependent Viscosity”, J. Therm. Anal. Calorim., Vol. 138, No. 2, pp. 1541-1555, 2019.##
Nguyen, T.K., Usman, M., Sheikholeslami, M., Haq, R.U., Shafee, A., Jilani, A.K., and Tlili, I. “Numerical Analysis of MHD Flow and Nanoparticle Migration within a Permeable Space Containing Non-Equilibrium Model”, Physica A, Vol. 537, p. 122459, 2020.##
Waini, I., Ishak, A., and Pop, I. “MHD Flow and Heat Transfer of a Hybrid Nanofluid Past a Permeable Stretching/Shrinking Wedge”, Appl. Math. Mech., Vol. 41, No. 3, pp. 507-520, 2020.##
Lahmar, S., Kezzar, M., Eid, M.R., and Sari, M.R. “Heat Transfer of Squeezing Unsteady Nanofluid Flow under the Effects of an Inclined Magnetic Field and Variable Thermal Conductivity”, Physica A, Vol. 540, Article Number: 123138, 2020.##
Sheikholeslami, M. and Rokni, H.B. “Simulation of Nanofluid Heat Transfer in Presence of Magnetic Field: A Review”, Int. J. Heat Mass Tran., Vol. 115, pp. 1203-1233, 2017.##
Sajjadi, H., Delouei, A.A., Atashafrooz, M., and Sheikholeslami, M. “Double MRT Lattice Boltzmann Simulation of 3-D MHD Natural Convection in a Cubic Cavity with Sinusoidal Temperature Distribution Utilizing Nanofluid”, Int. J. Heat Mass Tran., Vol. 126, pp. 489-503, 2018.##
Sheikholeslami, M., Sajjadi, H., Delouei, A.A., Atashafrooz, M., and Li, Z. “Magnetic Force and Radiation Influences on Nanofluid Transportation through a Permeable Media Considering Al2O3 Nanoparticles”, J. Therm. Anal. Calorim., Vol. 136, No. 6, pp. 2477-2485, 2019.##
Atashafrooz, M., and Gandjalikhan Nassab, S.A. “Combined Heat Transfer of Radiation and Forced Convection Flow of Participating Gases in a Three-Dimensional Recess”, J. Mech. Sci. Technol., Vol. 26, No. 10, pp. 3357-3368, 2012.##
Selimefendigil F. and Oztop, H.F. “Numerical Analysis of Laminar Pulsating Flow at a Backward Facing Step with an Upper Wall Mounted Adiabatic Thin Fin”, Comput. Fluids, Vol. 88, pp. 93–107, 2013.##
Atashafrooz, M., Gandjalikhan Nassab S.A., and Lari, K. “Numerical Analysis of Interaction Between Non‑Gray Radiation and Forced Convection Flow over a Recess using the Full‑Spectrum k‑Distribution Method”, Heat Mass Transf., Vol. 52, No. 2, pp. 361-377, 2016.##
Dehghani Rayeni, A., and Gandjalikhan Nassab, S.A. “Numerical Simulation of Forced Convection Duct Flow of a Radiating Gas with Separation”, Fluid. Mec. Aero., Vol. 6, No. 1, pp. 53–66, 2017 (In Persian).##
Nouri-Borujerdi, A., and Moazezi, A., “Investigation of Obstacle Effect to Improve Conjugate Heat Transfer in Backward Facing Step Channel Using Fast Simulation of Incompressible Flow”, Heat Mass Transf., Vol. 54, No. 1, pp. 135-150, 2018.##
Li, C., Cui, G., Zhai, J., Chen, S., and Hu, Z. “Enhanced Heat Transfer and Flow Analysis in a Backward-Facing Step Using a Porous Baffle”, J. Therm. Anal. Calorim., Vol. 141, pp. 1919–1932, 2020.##
Hilo, A.K., Talib, A.R.A., Iborra, A.A., Sultan M.T.H., and Hamid, M.F.A. “Effect of Corrugated Wall Combined with Backward-Facing Step Channel on Fluid Flow and Heat Transfer,” Energy, Vol. 190, Article Number: 116294, 2020.##
Danane, F., Boudiaf, A., Mahfoud, O., Ouyahia, S.E., Labsi N., and Benkahla, Y.K., “Effect of Backward Facing Step Shape on 3D Mixed Convection of Bingham Fluid”, Int. J. Therm. Sci., Vol. 147, Article Number: 106116, 2020.##
Giannopoulos, A. and Aider, J.L. “Prediction of the Dynamics of a Backward-Facing Step Flow Using Focused Time-Delay Neural Networks and Particle Image Velocimetry Data-Sets”, Int. J. Heat Fluid Fl., Vol. 82, Article Number: 108533, 2020.##
Al-aswadi, A.A., Mohammed, H.A., Shuaib N.H., and Campo, A. “Laminar Forced Convection Flow over a Backward Facing Step Using Nanofluids”, Int. Commun. Heat Mass, Vol. 37, No. 8, pp. 950-957, 2010.##
Mohammed, H.A., Al-aswadi, A.A., Abu-Mulaweh H.I., and Shuaib, N.H. “Influence of Nanofluids on Mixed Convective Heat Transfer over a Horizontal Backward Facing Step”, Heat Transf. Asian Res., Vol. 40, No. 4, pp. 287–307, 2011.##
Pour, M.S. and Gandjalikhan Nassab, S.A. “Numerical Investigation of Forced Laminar Convection Flow of Nanofluids over a Backward Facing Step under Bleeding Condition”, J. Mech., Vol. 28, No. 2, pp. N7-N12, 2012.##
Mohammed, H.A., Golieskardi, M., Munisamy, K.M., and Wahid, M.A., “Combined Convection Heat Transfer of Nanofluids Flow over Forward Facing step in a Channel Having a Blockage”, Appl. Mech. Mater., Vol. 388, pp. 185-191, 2013.##
Safaei, M.R., Togun, H., Vafai, K., Kazi, S.N., and Badarudin, A. “Investigation of Heat Transfer Enhancement in a Forward-Facing Contracting Channel Using FMWCNT Nanofluids”, Numer. Heat Tr. A-Appl., Vol. 66, No. 12, pp. 1321-1340, 2014.##
Togun, H., Safaei, M.R., Sadri, R., Kazi, S.N., Badarudin, A., Hooman, K., and Sadeghinezhad, E. “Numerical Simulation of Laminar to Turbulent Nanofluid Flow and Heat Transfer over a Backward Facing Step”, Appl. Math. Comput., Vol. 239, pp. 153-170, 2014.##
Mohammed, H.A., Alawi, O.A., and Wahid, M.A. “Mixed Convective Nanofluid Flow in a Channel Having Backward-Facing Step with a Baffle”, Powder Technol., Vol. 275, pp. 329–343, 2015.##
Selimefendigil, F., and Öztop, H.F. “Numerical Study of Forced Convection of Nanofluid Flow over a Backward Facing Step with a Corrugated Bottom Wall in the Presence of Different Shaped Obstacles”, Heat Transfer Eng., Vol. 37, No. 15, pp. 1280-1292, 2016.##
Alawi, O.A., Sidik, N.A.C., Kazi, S.N., and Abdolbaqi, M.K. “Comparative Study on Heat Transfer Enhancement and Nanofluids Flow over Backward and Forward Facing Steps”, J. Adv. Res. Fluid Mech. Therm. Sci., Vol. 23, No. 1, pp. 25-49, 2016.##
Kherbeet, A.S., Mohammed, H.A., Salman, B.H., Ahmed, H.E., Alawi, O.A., and Rashidi, M.M. “Experimental Study of Nanofluid Flow and Heat Transfer over Microscale Backward-and Forward-Facing Steps”, Exp. Therm. Fluid Sci., Vol. 65, pp.13-21, 2015.##
Kherbeet, A.S., Mohammed, H.A., Ahmed, H.E., Salman, B.H., Alawi, O.A., Safaei, M.R., and Khazaal, M.T. “Mixed Convection Nanofluid Flow Over Microscale Forward-Facing Step — Effect of Inclination and Step Heights”, Int. Commun. Heat Mass, Vol. 78, pp. 145-154, 2016.##
Atashafrooz, M., and Badakhshan, S., “Three-Dimensional Analysis of the Convective Nanofluid Flow in a Duct with Abrupt Contraction”, Fluid. Mec. Aero., Vol. 7, No. 2, pp. 59–72, 2018 (In Persian).##
Atashafrooz, M. “Effects of Ag-Water Nanofluid on Hydrodynamics and Thermal Behaviors of Three-Dimensional Separated Step Flow”, Alexandria Eng. J., Vol. 57, No. 4, pp. 4277-4285, 2018.##
Nath, R., and Krishnan, M., “Numerical Study of Double Diffusive Mixed Convection in a Backward Facing Step Channel Filled with Cu-Water Nanofluid”, Int. J. Mech. Sci., Vol. 153-154, pp. 48-63, 2019.##
Abbassi, H., and Nassrallah, S.B. “MHD Flow and Heat Transfer in a Backward-Facing Step”, Int. Commun. Heat Mass, Vol. 34, No. 2, pp. 231-237, 2007.##
Mobadersani, F., and Rezavand Hesari, A. “MHD Effect on Nanofluid Flow and Heat Transfer in Backward-Facing Step Using Two-Phase Model”, AUT J. Mech. Eng., Vol. 4, No. 1, pp. 41-50, 2019.##
Atashafrooz, M. “The Effects of Buoyancy Force on Mixed Convection Heat Transfer of MHD Nanofluid Flow and Entropy Generation in an Inclined Duct with Separation Considering Brownian Motion Effects”, J. Therm. Anal. Calorim., Vol. 138, No. 5, pp. 3109-3126, 2019.##
Selimefendigil, F., and Oztop, H.F. “Influence of Inclination Angle of Magnetic Field on Mixed Convection of Nanofluid Flow over a Backward Facing Step and Entropy Generation”, Advanced Powder Technol., Vol. 26, No. 6, pp. 1663–1675, 2015.##
Atashafrooz, M., Sheikholeslami, M., Sajjadi, H., and Delouei, A.A. “Interaction Effects of an Inclined Magnetic Field and Nanofluid on Forced Convection Heat Transfer and Flow Irreversibility in a Duct with an Abrupt Contraction”, J. Magn. Magn. Mater., Vol. 478, pp. 216-226, 2019.##
Atashafrooz, M., Sajjadi, H., and Delouei, A.A. “Interacting Influences of Lorentz Force and Bleeding on the Hydrothermal Behaviors of Nanofluid Flow in a Trapezoidal Recess with the Second Law of Thermodynamics Analysis”, Int. Commun. Heat Mass, Vol. 110, Article Number: 104411, 2020.##
Atashafrooz, M. “Influence of Radiative Heat Transfer on the Thermal Characteristics of Nanofluid Flow over an Inclined Step in the Presence of an Axial Magnetic Field”, J. Therm. Anal. Calorim., Vol. 139, No. 5, pp. 3345–3360, 2020.##
Patankar, S.V., and Spalding, D.B. “A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows”, Int. J. Heat Mass Tran., Vol. 15, No. 10, p. 1787–1806, 1972.##
Atashafrooz, M., Barchi Pour, K., & Aminizadeh, N. (2020). Three-Dimensional Analysis of Forced Convection Fluid Flow in a Duct with Step Considering the Interacting Influences of the Magnetic Field and Solid Nanoparticles. Fluid Mechanics & Aerodynamics, 9(1), 117-133.
MLA
Meysam Atashafrooz; Kazem Barchi Pour; Nasrin Aminizadeh. "Three-Dimensional Analysis of Forced Convection Fluid Flow in a Duct with Step Considering the Interacting Influences of the Magnetic Field and Solid Nanoparticles", Fluid Mechanics & Aerodynamics, 9, 1, 2020, 117-133.
HARVARD
Atashafrooz, M., Barchi Pour, K., Aminizadeh, N. (2020). 'Three-Dimensional Analysis of Forced Convection Fluid Flow in a Duct with Step Considering the Interacting Influences of the Magnetic Field and Solid Nanoparticles', Fluid Mechanics & Aerodynamics, 9(1), pp. 117-133.
VANCOUVER
Atashafrooz, M., Barchi Pour, K., Aminizadeh, N. Three-Dimensional Analysis of Forced Convection Fluid Flow in a Duct with Step Considering the Interacting Influences of the Magnetic Field and Solid Nanoparticles. Fluid Mechanics & Aerodynamics, 2020; 9(1): 117-133.