Evaluation of Amount the Entropy Production Due to MHD Hybrid Nanofluid Conjugate Heat Transfer with Heat Absorption/Generation

Document Type : Original Article

Authors

1 Faculty of mechanical engineering, Yazd university

2 departmen of mechanical engineering

Abstract

In the present study, the entropy production due to the conjugate heat transfer of the hybrid nanofluid inside the K-shaped chamber under a uniform and non-uniform magnetic field under impact of a uniform heat absorption/generation is evaluated. Variations in the Rayleigh number, volumetric fraction of nanoparticles, Hartmann number, heat absorption/generation coefficient, thermal conductivity ratio, chamber aspect ratio and type of  applied  magnetic field have been studied. The outcomes showed that the flow strength and the amount of heat transfer could be reduced by about 55% and 21% by applying a magnetic field, respectively. By applying a non-uniform magnetic field compared to uniform mode, the flow strength can be increased up to about 38 and the average Nusselt number up to about 16%. Increasing the heat absorption/generation coefficient due to increasing the set temperature leads to decreasing the mean Nusselt number, which this influence increases with increasing the Hartmann number. Addition of nanoparticles to the base fluid in which the conduction of the phenomenon is predominant increases the rate of heat transfer. Heat transfer is a function of the ratio of thermal conductivity and Rayleigh number that increasing these two parameters increases the convection effects, and in this case, the effect of increasing the Hartmann number is more pronounced. Increasing the thermal conductivity ratio from 0.5 to 10 increases the amount of heat transfer by 21 times. Increasing the chamber aspect ratio leads to a decline in the mean Nusselt number and entropy production, but the effect of adding nanoparticles is greater in this case. Entropy production decreases with increasing Hartmann number and increases with Rayleigh number and heat absorption/generation coefficient.

Keywords


Smiley face

  1. Ferhi, M., Djebali, R., Al‐Kouz, W., Abboudi , S., and Chamkha, AJ. “MHD Conjugate Heat Transfer and Entropy Generation Analysis of MWCNT/Water Nanofluid In A Partially Heated Divided Medium”, Heat Transfer., Vol. 50, No. 1, pp. 126-144. 2021
  2. Ghalambaz, M., Doostani, A., Izadpanahi, E., and Chamkha, AJ. “Conjugate natural Convection Flow of Ag–Mgo/Water Hybrid Nanofluid in a Square Cavity”, Journal of Thermal Analysis and Calorimetry, Vol. 139, No. 3, pp. 2321-2336, 2020.
  3. Borah, A. and Pati, S. “Influence of Non-Uniform Asymmetric Heating on Conjugate Heat Transfer in a Rectangular Minichannel Using Nanofluid by Two-Phase Eulerian-Lagrangian Method”, Powder Technology, Vol. 1, No. 381, pp. 164-180, 2021.
  4. Ferguson, JC., Sobhani, S., and Ihme, M. “Pore-Resolved Simulations of Porous Media Combustion with Conjugate Heat Transfer”, Proceedings of the Combustion Institute, Vol. 38, No. 2, pp. 2127-2134, 2021.
  5. Yang, LM., Shu, C., Yang, WM., and Wu, J. “Simulation of Conjugate Heat Transfer Problems by Lattice Boltzmann Flux Solver”, International Journal of Heat and Mass Transfer. Vol. 1, No. 137, pp. 895-907, 2019.
  6. Hosseini, SA., Darabiha, N., and Thévenin, D. “Lattice Boltzmann Advection-Diffusion Model for Conjugate Heat Transfer in Heterogeneous Media”, International Journal of Heat and Mass Transfer, Vol. 1, No. 132, pp. 906-19, 2019.
  7. Datta, A., Sharma, V., Sanyal, D., and Das, P.A “Conjugate Heat Transfer Analysis of Performance for Rectangular Microchannel with Trapezoidal Cavities and Ribs”, International Journal of Thermal Sciences, Vol. 1, No. 138, pp. 425-46, 2019.
  8. Chiappini, D., Festuccia, A., and Bella, G. “Coupled Lattice Boltzmann Finite Volume Method for Conjugate Heat Transfer in Porous Media”, Numerical Heat Transfer, Part A: Applications, Vol. 73, No. 5, pp. 291-306, 2018.
  9. Ismael, MA., Armaghani, T., and Chamkha, AJ. “Conjugate Heat Transfer and Entropy Generation in a Cavity Filled with a Nanofluid-Saturated Porous Media and Heated by a Triangular Solid”, Journal of the Taiwan Institute of Chemical Engineers, Vol. 1, No. 59, pp. 138-151, 2016.
  10. Rostami, J., Abbassi, A., and Saffar-Avval, M. “Optimization of Conjugate Heat Transfer in Wavy Walls Microchannels”, Applied Thermal Engineering, Vol. 5, No. 82, pp. 318-28, 2015.
  11. Frapolli, N., Chikatamarla, S., and Karlin, I. “Theory, Analysis, and Applications of the Entropic Lattice Boltzmann Model for Compressible Flows”, Entropy, Vol. 22, No. 3, p. 370, 2020.
  12. Lei, T., Wang, Z., and Luo, KH. “Study of Pore-Scale Coke Combustion in Porous Media Using Lattice Boltzmann Method”, Combustion and Flame, Vol. 1, No. 225, pp. 104-119, 2021.
  13. Nemati, M., Jahangiri, R., and Khalilian, M. “Analysis of Heat Transfer in the Cavity with Different Shapes Filled Nanofluid in the Presence of Magnetic Field with Heat Generation/Absorption Using LBM”, Journal of Mechanical Engineering and Vibration, Vol. 10, No. 4, pp. 51-62, 2020.
  14. Tayyab, M., Zhao, S., Feng, Y., and Boivin, P. “Hybrid Regularized Lattice-Boltzmann Modelling of Premixed and Non-Premixed Combustion Processes”, Combustion and Flame, Vol. 211, pp. 173-184, 2020.
  15. Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., and Viggen, EM. “The Lattice Boltzmann Method”, Springer International Publishing, Vol. 10, No. (978-3), pp. 4-15, 2017.
  16. Rezaie, M. and Maghrebi, MJ. “Numerical Investigation of Conjugate Natural Convection Heat Transfer in Porous Enclosure with Lattice Boltzmann Method”, Journal of Solid and Fluid Mechanics, Vol. 5, No. 2, pp. 217-31, 2015.
  17. Fu, C., Rahmani, A., Suksatan, W., Alizadeh, SM., Zarringhalam, M., Chupradit, S., and Toghraie, D. “Comprehensive Investigations of Mixed Convection of Fe–Ethylene-Glycol Nanofluid Inside an Enclosure with Different Obstacles Using Lattice Boltzmann Method”, Scientific Reports, Vol. 11, No. 1, pp. 1-6, 2021.
  18. Marzougui, S., Mebarek-Oudina, F., Assia, A., Magherbi, M., Shah, Z., and Ramesh, K. “Entropy Generation on Magneto-Convective Flow of Copper–Water Nanofluid in a Cavity With Chamfers”, Journal of Thermal Analysis and Calorimetry, Vol. 143, No. 3, pp. 2203-2214, 2021.
  19. Hashim, I., Alsabery, AI., Sheremet, MA., and Chamkha, AJ. “Numerical Investigation of Natural Convection of Al2O3-Water Nanofluid in a Wavy Cavity with Conductive Inner Block Using Buongiorno’s Two-Phase Model”, Advanced Powder Technology, Vol. 30, No. 2, pp. 399-414, 2019.
  20. Ali, HM., Azhar, MD., Saleem, M., Saeed, QS., and Saieed, A. “Heat Transfer Enhancement of Car Radiator Using Aqua Based Magnesium Oxide Nanofluids”, Thermal Science, Vol. 19, No. 6, pp. 2039-2048, 2015.
  21. Ali, HM., Ali, H., Liaquat, H., Maqsood, HT., and Nadir, MA. “Experimental Investigation of Convective Heat Transfer Augmentation for Car Radiator Using Zno–Water Nanofluids”, Energy, Vol. 84, pp. 317-324, 2015.
  22. Asadi, A., Alarifi, IM., Nguyen, HM., and Moayedi, H. “Feasibility of Least-Square Support Vector Machine in Predicting the Effects of Shear Rate on the Rheological Properties and Pumping Power of MWCNT–Mgo/Oil Hybrid Nanofluid Based on Experimental Data”, Journal of Thermal Analysis and Calorimetry, Vol. 143, No. 2, pp. 1439-1454, 2021.
  23. Asadi, A., Bakhtiyari AN., and Alarifi, IM. “Predictability Evaluation of Support Vector Regression Methods for Thermophysical Properties, Heat Transfer Performance, and Pumping Power Estimation Of MWCNT/Zno–Engine Oil Hybrid Nanofluid”, Engineering with Computers, Vol. 37, No. 4, pp. 3813-3823, 2021.
  24. Shojaeefard, MH., Jourabian, M., and Rabienataj Darzi, AA. “Interactions Between Hybrid Nanosized Particles and Convection Melting Inside an Enclosure with Partially Active Walls: 2D Lattice Boltzmann‐Based Numerical Investigation”, Heat Transfer, Vol. 50, No. 5, pp. 4908-4036, 2021.
  25. Waini, I., Ishak, A., and Pop, I. “Unsteady Flow and Heat Transfer Past a Stretching/Shrinking Sheet in a Hybrid Nanofluid”, International Journal of Heat and Mass Transfer, Vol. 136, pp. pp. 288-297, 2019.
  26. Talebi, MH., Kalantar, V., Nazari, MR., and Kargarsharifabad, H. “Experimental Investigation of the Forced Convective Heat Transfer of Hybrid Cu/Fe3O4 Nanofluids”, Journal of Solid and Fluid Mechanics. Vol. 8, No. 4, pp. 229-238.
  27. Tayebi, T. and Chamkha, AJ. “Free Convection Enhancement in an Annulus Between Horizontal Confocal Elliptical Cylinders Using Hybrid Nanofluids”, Numerical Heat Transfer, Part A: Applications, Vol. 70, No. 10, pp. 1141-1156.
  28. Hemat Esfe.,M, Arani, AA., Rezaie, M., Yan, WM., and Karimipour, A. “Experimental Determination of Thermal Conductivity and Dynamic Viscosity of Ag–Mgo/Water Hybrid Nanofluid”, International Communications in Heat and Mass Transfer, Vol. 66, pp. 189-195, 2015.
  29. Ghalambaz, M., Mehryan, SA., Alsabery, AI., Hajjar, A., Izadi, M., and Chamkha, A. “Controlling the Natural Convection Flow Through a Flexible Baffle in an L-Shaped Enclosure”, Meccanica, Vol. 55, No. 8, pp. 1561-84, 2020.
  30. Karimdoost Yasuri, A., Izadi, M., and Hatami, H. “Numerical Study of Natural Convection in a Square Enclosure Filled by Nanofluid with a Baffle in the Presence of Magnetic Field”, Iranian Journal of Chemistry and Chemical Engineering (IJCCE), Vol. 38, No. 5, pp. 209-220, 2019.
  31. Nicodemus, JH., Smith, JH., and Goldstein, H. “Numerical Simulations of Storage-Side Natural Convection to an Immersed Coiled Heat Exchanger with Baffle-Shrouds”, Solar Energy, Vol. 182, pp. 304-315, 2019.
  32. Nemati, M. and Sefid, M. “Using Multiple Relaxation Time Lattice Boltzmann Method to Simulate Power-Law Fluids MHD Natural Convection in Cavity with Lozenge Barrier”, Fluid Mechanics & Aerodynamics Journal, 10, No. 1, pp. 17-35, 2021.
  33. Aghakhani, S., Pordanjani, AH., Karimipour, A., Abdollahi, A., and Afrand, M. “Numerical Investigation of Heat Transfer in a Power-Law Non-Newtonian Fluid in a C-Shaped Cavity With Magnetic Field Effect Using Finite Difference Lattice Boltzmann Method”, Computers & Fluids, Vol. 176, pp. 51-67, 2018.
  34. Dogonchi, AS., Sadeghi, MS., Ghodrat, M., Chamkha, AJ., Elmasry, Y.,and Alsulami, R. “Natural Convection and Entropy Generation of a Nanoliquid in a Crown Wavy Cavity: Effect Of Thermo-Physical Parameters and Cavity Shape”, Case Studies in Thermal Engineering. Vol. 27, pp. 101208, 2021.
  35. Almeshaal, MA., Kalidasan, K., Askri, F., Velkennedy, R., Alsagri, AS., and Kolsi, L. “Three-Dimensional Analysis on Natural Convection Inside a T-Shaped Cavity with Water-Based CNT–Aluminum Oxide Hybrid Nanofluid”, Journal of Thermal Analysis and Calorimetry, Vol. 139, No. 3, pp. 2089-2098, 2020.
  36. Izadi, M., Mohebbi, R., Karimi, D., and Sheremet, MA. “Numerical Simulation of Natural Convection Heat Transfer Inside A ┴ Shaped Cavity Filled by a MWCNT-Fe3O4/Water Hybrid Nanofluids Using LBM”, Chemical Engineering and Processing-Process Intensification, Vol. 125, pp. 56-66, 2018.
  37. Hartmann, J. and Lazarus, F. “Theory of the Laminar Flow of an Electrically Conductive Liquid in a Homogeneous Magnetic Field”, Mathematisk Fysiske Meddelelser, Vol. 15, No. 6, pp. 1–28, 1937.
  38. Dogonchi, AS., Tayebi, T., Chamkha, AJ., and Ganji, DD. “Natural Convection Analysis in a Square Enclosure with a Wavy Circular Heater Under Magnetic Field and Nanoparticles”, Journal of Thermal Analysis and Calorimetry, Vol. 139, No. 1, pp. 661-71, 2020.
  39. Erdem, M. and Varol, Y. “Numerical Investigation of Heat Transfer and Flow Characteristics of MHD Nano-Fluid Forced Convection in a Pipe”, Journal of Thermal Analysis and Calorimetry, Vol. 139, No. 6, pp. 3897-3909, 2020.
  40. Amine, BM., Redouane, F., Mourad, L., Jamshed, W., Eid, MR., and Al-Kouz, W. “Magnetohydrodynamics Natural Convection of a Triangular Cavity Involving Ag-Mgo/Water Hybrid Nanofluid and Provided with Rotating Circular Barrier and a Quarter Circular Porous Medium at its Right-Angled Corner”, Arabian Journal for Science and Engineering, Vol. 46, No. 12, pp. 12573-12597, 2021.
  41. Nemati, M., Mohamadzade, H.,and Sefid, M. “Investigation the Effect of Direction of Wall Movement on Mixed Convection in Porous Enclosure with Heat Absorption/Generation and Magnetic Field”, Fluid Mechanics & Aerodynamics Journal, Vol. 9, No. 1, pp. 99-115, 2020.
  42. Reddy, PS. and Sreedevi, P. “Entropy Generation and Heat Transfer Analysis of Magnetic Hybrid Nanofluid Inside a Square Cavity with Thermal Radiation”, The European Physical Journal Plus, Vol. 136, No. 1, pp. 1-33, 2021.
  43. Goudarzi, S., Shekaramiz, M., Omidvar, A., Golab, E., Karimipour, A., and Karimipour, A. “Nanoparticles Migration Due to Thermophoresis and Brownian Motion and its Impact on Ag-Mgo/Water Hybrid Nanofluid Natural Convection”, Powder Technology, Vol. 375, pp. 493-503, 2020.
  44. Al-Rashed, AA., Kalidasan, K., Kolsi, L., Velkennedy, R., Aydi, A., Hussein, AK., and Malekshah, EH. “Mixed Convection and Entropy Generation in a Nanofluid Filled Cubical Open Cavity with a Central Isothermal Block”, International Journal of Mechanical Sciences, Vol. 135, pp. 362-375, 2018.
  45. Alnaqi, AA., Aghakhani, S., Pordanjani, AH., Bakhtiari, R., Asadi, A., and Tran, MD. “Effects of Magnetic Field on the Convective Heat Transfer Rate and Entropy Generation of a Nanofluid in an Inclined Square Cavity Equipped with a Conductor Fin: Considering the Radiation Effect”, International Journal of Heat and Mass Transfer, Vol. 133, pp. 256-67, 2019.
  46. Alkanhal, TA., Sheikholeslami, M., Arabkoohsar, A., Haq, RU., Shafee, A., Li, Z., and Tlili, I. “Simulation of Convection Heat Transfer of Magnetic Nanoparticles Including Entropy Generation Using CVFEM”, International Journal of Heat and Mass Transfer, Vol. 136, pp. 146-156, 2019.
  47. Bhowmick, D., Randive, PR., Pati, S., Agrawal, H., Kumar, A., and Kumar, P. “Natural Convection Heat Transfer and Entropy Generation from a Heated Cylinder of Different Geometry in an Enclosure with Non-Uniform Temperature Distribution on the Walls”, Journal of Thermal Analysis and Calorimetry, Vol. 141, No. 2, pp. 839-857, 2020.
  48. Mondal, P. and Mahapatra, TR. “Minimization of Entropy Generation Due to MHD Double Diffusive Mixed Convection in a Lid Driven Trapezoidal Cavity with Various Aspect Ratios”, Nonlinear Analysis: Modelling and Control, Vol. 25, No. 4, pp. 545-63, 2020.
  49. Tayebi, T. and Chamkha, AJ. “Entropy Generation Analysis Due to MHD Natural Convection Flow in a Cavity Occupied with Hybrid Nanofluid and Equipped with a Conducting Hollow Cylinder”, Journal of Thermal Analysis and Calorimetry, Vol. 139, No. 3, pp. 2165-2179, 2020.
  50. Dehghan, M., Daneshipour, M. and Valipour, MS. “Nanofluids and Converging Flow Passages: a Synergetic Conjugate-Heat-Transfer Enhancement of Micro Heat Sinks”, International Communications in Heat and Mass Transfer. Vol. 97, pp. 72-77, 2018.
  51. Mansour, MA., Siddiqa, S., Gorla, RS., and Rashad, AM. “Effects of Heat Source and Sink on Entropy Generation And MHD Natural Convection of Al2O3-Cu/Water Hybrid Nanofluid Filled with Square Porous Cavity”, Thermal Science and Engineering Progress, Vol. 6, pp. 57-71, 2018.
  52. Tantri, F., Fauzi, U., and Latief, FD. “Lid-Driven Cavity For Mantle Convection Modelling Using Lattice Boltzmann Method”, Indonesian Journal of Physics, Vol. 32, No. 1, pp. 5-11, 2021.
  53. Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., and Viggen, EM. “The Lattice Boltzmann Method”, Springer International Publishing, Vol. 10, No’s (978-3), pp. 4-15, 2017.

 

  1. Tayyab, M., Zhao, S., Feng, Y., and Boivin, P. “Hybrid Regularized Lattice-Boltzmann Modelling of Premixed and Non-Premixed Combustion Processes”, Combustion and Flame, Vol. 211, pp. 173-84, 2020.
  2. Abas, A., Ishak, MH., Abdullah, MZ., Ani, FC., and Khor, SF. “Lattice Boltzmann Method Study of Bga Bump Arrangements on Void Formation”, Microelectronics Reliability, Vol. 56, pp. 170-181, 2016.
  3. Lu, JH., Lei, HY., and Dai, CS. “A Simple Difference Method for Lattice Boltzmann Algorithm to Simulate Conjugate Heat Transfer”, International Journal of Heat and Mass Transfer, Vol. 114, pp. 268-76, 2017.

 

  1. Ilis, GG., Mobedi, M., and Sunden, B. “Effect of Aspect Ratio on Entropy Generation in a Rectangular Cavity with Differentially Heated Vertical Walls”, International Communications in Heat and Mass Transfer, Vol. 35, No. 6, pp. 696-703, 2008.
  2. Ali, IR., Alsabery, AI., Bakar, NA., and Roslan, R. “Mixed Convection in a Double Lid-Driven Cavity Filled with Hybrid Nanofluid by Using Finite Volume Method”, Symmetry, Vol. 12, No. 12, p. 1977, 2020.
Volume 10, Issue 2 - Serial Number 28
February 2022
Pages 141-168
  • Receive Date: 31 December 2021
  • Revise Date: 24 January 2022
  • Accept Date: 26 February 2022
  • Publish Date: 20 February 2022