Entropy generation on magneto-convective flow of copper–water nanofluid in a cavity with chamfers

The irreversibility in convective nanofluid flow in the occurrence of a magnetic field (MHD) in a cavity with chamfers is calculated by numerical approach. The nanofluid flow is considered under the impacts of magnetic field and thermal gradient. The continuity, motion and energy equations are solved by applying COMSOL Multiphysics computer package. The impacts of $$({\text{Ha}})$$ ( Ha ) Hartmann number, $$(\gamma )$$ ( γ ) elevation of magnetic field, nanoparticle volume fraction, heat transmission and entropy analysis on the flow of nanofluid are discussed. Results reveal that, the impacts of volume fraction and the magnetic force on different irreversibility are significant. Moreover, results indicate the existence of a critical $$({\text{Ha}}_{{\text{c}}} )$$ ( Ha c ) Hartmann number this represents the frontier between the domains where the magnetic field dominates via its intrinsic effect and its extrinsic effect.

[1]  J. Maxwell A Treatise on Electricity and Magnetism , 1873, Nature.

[2]  L. C. Woods,et al.  The thermodynamics of fluid systems , by L. C. Woods. Pp 359. £12·50. 1985. ISBN 0-19-856180-6 (Oxford University Press) , 1987, The Mathematical Gazette.

[3]  J. Eastman,et al.  Measuring Thermal Conductivity of Fluids Containing Oxide Nanoparticles , 1999 .

[4]  H. Oztop,et al.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids , 2008 .

[5]  Mohamed A. Teamah,et al.  Augmentation of natural convective heat transfer in square cavity by utilizing nanofluids in the presence of magnetic field and uniform heat generation/absorption , 2012 .

[6]  Somchai Wongwises,et al.  A review of entropy generation in nanofluid flow , 2013 .

[7]  Saad Mekhilef,et al.  Finite element solution of MHD mixed convection in a channel with a fully or partially heated cavity , 2013 .

[8]  H. Mohammed,et al.  Computational Analysis of Three-Dimensional Unsteady Natural Convection and Entropy Generation in a Cubical Enclosure Filled with Water-Al2O3 Nanofluid , 2014, Arabian Journal for Science and Engineering.

[9]  Ahmed Kadhim Hussein,et al.  Boundary layer flow and heat transfer due to permeable stretching tube in the presence of heat source/sink utilizing nanofluids , 2014, Appl. Math. Comput..

[10]  Ahmed Omri,et al.  Lattice Boltzmann simulation of MHD natural convection in a nanofluid-filled cavity with linear temperature distribution , 2014 .

[11]  R. Jana,et al.  Entropy generation due to MHD flow in a porous channel with Navier slip , 2014 .

[12]  A. Hussein,et al.  Lattice Boltzmann simulation of natural convection heat transfer in an open enclosure filled with Cu–water nanofluid in a presence of magnetic field , 2014 .

[13]  G. C. Rana,et al.  On the Onsetof Thermal Instability in a Low Prandtl Number Nanofluid Layer in a Porous Medium , 2015 .

[14]  Afif El Cafsi,et al.  MHD effects on heat transfer and entropy generation of nanofluid flow in an open cavity , 2015 .

[15]  M. Kermani,et al.  Numerical study of magnetic field effect on nano-fluid forced convection in a channel , 2015 .

[16]  G. C. Rana,et al.  Effect of Suspended Particles on the Onset of Thermal Convection in a Nanofluid Layer for More Realistic Boundary Conditions , 2015 .

[17]  Phillipp Bergmann,et al.  A Treatise On Electricity And Magnetism , 2016 .

[18]  Abderrahim Wakif,et al.  Numerical analysis of the onset of longitudinal convective rolls in a porous medium saturated by an electrically conducting nanofluid in the presence of an external magnetic field , 2017 .

[19]  Nidal Abu-Hamdeh,et al.  Numerical analysis of entropy generation due to natural convection in three-dimensional partially open enclosures , 2017 .

[20]  A. Hussein,et al.  Natural convection in fully open parallelogrammic cavity filled with Cu–water nanofluid and heated locally from its bottom wall , 2017 .

[21]  F. Mebarek-Oudina,et al.  Numerical modeling of the hydrodynamic stability in vertical annulus with heat source of different lengths , 2017 .

[22]  Hakan F. Oztop,et al.  Control of natural convection via inclined plate of CNT-water nanofluid in an open sided cubical enclosure under magnetic field , 2017 .

[23]  A. Al-Rashed,et al.  Three-dimensional natural convection of CNT-water nanofluid confined in an inclined enclosure with Ahmed body , 2017 .

[24]  A. Al-Rashed,et al.  Numerical study of three-dimensional natural convection and entropy generation in a cubical cavity with partially active vertical walls , 2017 .

[25]  Lioua Kolsi,et al.  Second law analysis of natural convection in a CNT-Water Nanofluid filled inclined 3D Cavity with incorporated Ahmed Body , 2017 .

[26]  Mohammad Mehdi Rashidi,et al.  Influence of a uniform transverse magnetic field on the thermo-hydrodynamic stability in water-based nanofluids with metallic nanoparticles using the generalized Buongiorno’s mathematical model , 2018 .

[27]  A. Al-Rashed,et al.  3D magneto-convective heat transfer in CNT-nanofluid filled cavity under partially active magnetic field , 2018 .

[28]  A. Rahimi,et al.  Lattice Boltzmann numerical method for natural convection and entropy generation in cavity with refrigerant rigid body filled with DWCNTs-water nanofluid-experimental thermo-physical properties , 2018 .

[29]  A. Al-Rashed,et al.  Three-dimensional investigation of the effects of external magnetic field inclination on laminar natural convection heat transfer in CNT–water nanofluid filled cavity , 2018 .

[30]  Oluwole Daniel Makinde,et al.  MHD Slip Flow of Cu-Kerosene Nanofluid in a Channel with Stretching Walls Using 3-Stage Lobatto IIIA Formula , 2018, Defect and Diffusion Forum.

[31]  Fateh Mebarek-oudina,et al.  Convective heat transfer of Titania nanofluids of different base fluids in cylindrical annulus with discrete heat source , 2018, Heat Transfer-Asian Research.

[32]  Ali J. Chamkha,et al.  Heat transfer study of convective fin with temperature-dependent internal heat generation by hybrid block method , 2019, Heat Transfer-Asian Research.

[33]  R. Bessaïh,et al.  Numerical simulation of natural convection heat transfer of copper-water nanofluid in a vertical cylindrical annulus with heat sources , 2019, Thermophysics and Aeromechanics.

[34]  Giulio Lorenzini,et al.  Significance of exponential space- and thermal-dependent heat source effects on nanofluid flow due to radially elongated disk with Coriolis and Lorentz forces , 2019, Journal of Thermal Analysis and Calorimetry.

[35]  B. Mahanthesh,et al.  Multiple slip effects on MHD non-Newtonian nanofluid flow over a nonlinear permeable elongated sheet , 2019, Multidiscipline Modeling in Materials and Structures.

[36]  Ali J. Chamkha,et al.  Magnetohydrodynamic flow of molybdenum disulfide nanofluid in a channel with shape effects , 2019, Multidiscipline Modeling in Materials and Structures.

[37]  Jawad Raza,et al.  Magnetohydrodynamic flow of nano Williamson fluid generated by stretching plate with multiple slips , 2019, Multidiscipline Modeling in Materials and Structures.

[38]  Robert A. Taylor,et al.  Recent advances in modeling and simulation of nanofluid flows—Part II: Applications , 2019, Physics Reports.

[39]  A. Hussein,et al.  Experimental studies of flow boiling heat transfer by using nanofluids , 2019, Journal of Thermal Analysis and Calorimetry.

[40]  Robert A. Taylor,et al.  Recent advances in modeling and simulation of nanofluid flows-Part I: Fundamentals and theory , 2019, Physics Reports.

[41]  O. Younis,et al.  Heat transfer inside a horizontal channel with an open trapezoidal enclosure subjected to a heat source of different lengths , 2019, Heat Transfer-Asian Research.

[42]  Obai Younis,et al.  Numerical Study of Natural Convection Between Two Coaxial Inclined Cylinders , 2019, International Journal of Heat and Technology.

[43]  B. Mahanthesh,et al.  A meta-analysis on the effects of haphazard motion of tiny/nano-sized particles on the dynamics and other physical properties of some fluids , 2019, Chinese Journal of Physics.

[44]  Jawad Raza,et al.  Implementation of the One-Step One-Hybrid Block Method on the Nonlinear Equation of a Circular Sector Oscillator , 2020 .

[45]  Ali J. Chamkha,et al.  Thermal radiation and surface roughness effects on the thermo-magneto-hydrodynamic stability of alumina–copper oxide hybrid nanofluids utilizing the generalized Buongiorno’s nanofluid model , 2020, Journal of Thermal Analysis and Calorimetry.

[46]  Umair Khan,et al.  Numerical Entropic Analysis of Mixed MHD Convective Flows from a Non-Isothermal Vertical Flat Plate for Radiative Tangent Hyperbolic Blood Biofluids Conveying Magnetite Ferroparticles: Dual Similarity Solutions , 2020 .