Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimir: 1940-2503
ISSN En Línea: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2019027956
pages 475-487


Mohsen Sheikholeslami
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran; Renewable Energy Systems and Nanofluid Applications in Heat Transfer Laboratory, Babol Noshirvani University of Technology, Babol, Iran
Muhammad Mubashir Bhatti
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University Yanchang Road, Shanghai 200072, China
Ahmad Shafee
FAST, University Tun Hussein Onn Malaysia, 86400, Parit Raja, Batu Pahat, Johor State, Malaysia; Public Authority of Applied Education and Training, College of Technological Studies, Applied Science Department, Shuwaikh, Kuwait
Zhixiong Li
School of Engineering, Ocean University of China, Qingdao 266110, China; School of Mechanical, Materials, Mechatronic and Biomedical Engineering, University of Wollongong, Wollongong, NSW 2522, Australia


Radiative heat source impact on nanofluid electrohydrodynamic flow has been displayed numerically using CVFEM. Fe3O4-ethylene glycol nanofluid was employed considering the electric field effect on its viscosity. Different shapes of nanoparticles have been considered, i.e., spherical, platelet, cylinder, and brick. The positive electrode is the lower wall. The physical behavior of permeability, Coulomb forces, lid velocity, the volume fraction of nanofluid, and radiation parameter have been discussed numerically and graphically. A graphical comparison is also shown to ensure that the results obtained are correct. It is found that the Darcy number and Coulomb tend to enhance the distortion of isotherms. Furthermore, thermal radiation also tends to augment the temperature gradient closer to the lower wall.


  1. Ahmed, N., Khan, U., and Mohyud-Din, S.T., Unsteady Radiative Flow of Chemically Reacting Fluid over a Convectively Heated Stretchable Surface with Cross-Diffusion Gradients, Int. J. Therm. Sci., vol. 121, pp. 182-191,2017.

  2. Akbar, N.S., Butt, A.W., and Tripathi, D., Nanoparticle Shapes Effects on Unsteady Physiological Transport of Nanofluids through a Finite Length Non-Uniform Channel, Results Phys, vol. 7, pp. 2477-2484,2017.

  3. Belhaj, S. and Ben-Beya, B., Magneto-Convection and Entropy Generation of Nanofluid in an Enclosure with an Isothermal Block: Performance Evaluation Criteria Analysis, J. Therm. Sci. Technol, vol. 13, no. 1, p. JTST0019,2018.

  4. Bhatti, M.M., Sheikholeslami, M., and Zeeshan, A., Entropy Analysis on Electro-Kinetically Modulated Peristaltic Propulsion of Magnetized Nanofluid Flow through a Microchannel, Entropy, vol. 19, no. 9, p. 481,2017a.

  5. Bhatti, M.M., Zeeshan, A., Ellahi, R., and Ijaz, N., 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., vol. 230, pp. 237-246,2017b.

  6. Chaube, M., Yadav, A., and Tripathi, D., Electroosmotically Induced Alterations in Peristaltic Microflows of Power Law Fluids through Physiological Vessels, J. Braz. Soc. Mech. Sci. Eng., vol. 40, no. 9, p. 423,2018a.

  7. Chaube, M.K., Yadav, A., Tripathi, D., and Beg, O.A., Electroosmotic Flow of Biorheological Micropolar Fluids through Mi- crofluidic Channels, Korea-Aust. Rheol. J, vol. 30, no. 2, pp. 89-98,2018b.

  8. Choi, S.U.S., Nanofluid Technology: Current Status and Future Research, Argonne National Laboratory (ANL), Argonne, IL, Tech. Rep., 1998.

  9. Hassan, M., Faisal, A., and Bhatti, M.M., Interaction of Aluminum Oxide Nanoparticles with Flow of Polyvinyl Alcohol Solutions Base Nanofluids over a Wedge, Appl. Nanosci., vol. 8, nos. 1-2, pp. 53-60,2018.

  10. Irfan, M., Khan, M., and Khan, W.A., Interaction between Chemical Species and Generalized Fouriers Law on 3D Flow of Carreau Fluid with Variable Thermal Conductivity and Heat Sink/Source: A Numerical Approach, Results Phys., vol. 10, pp. 107-117, 2018.

  11. Khanafer, K., Vafai, K., and Lightstone, M., Buoyancy-Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids, Int. J. Heat Mass Transf., vol. 46, no. 19, pp. 3639-3653,2003.

  12. Marin, M., Weak Solutions in Elasticity of Dipolar Porous Materials, Math. Probl. Eng., vol. 2008, p. 158908,2008.

  13. Marin, M., Some Estimates on Vibrations in Thermoelasticity of Dipolar Bodies, J. Vib. Control, vol. 16, no. 1, pp. 33-47,2010.

  14. Marin, M., An Approach of a Heat-Flux Dependent Theory for Micropolar Porous Media, Meccanica, vol. 51, no. 5, pp. 1127-1133,2016.

  15. Maxwell, J.C., A Treatise on Electricity and Magnetism, vol. 1,Oxford, UK: Clarendon Press, 1881.

  16. Moallemi, M. and Jang, K., Prandtl Number Effects on Laminar Mixed Convection Heat Transfer in a Lid-Driven Cavity, Int. J. Heat Mass Transf., vol. 35, no. 8, pp. 1881-1892,1992.

  17. Monajjemi Rarani, E., Etesami, N., and Nasr Esfahany, M., Influence of the Uniform Electric Field on Viscosity of Magnetic Nanofluid (Fe3O4-EG), J. Appl. Phys., vol. 112, no. 9, p. 094903,2012.

  18. Prakash, J., Sharma, A., and Tripathi, D., Thermal Radiation Effects on Electroosmosis Modulated Peristaltic Transport of Ionic Nanoliquids in Biomicrofluidics Channel, J Mol. Liq., vol. 249, pp. 843-855,2018a.

  19. Prakash, J., Ramesh, K., Tripathi, D., and Kumar, R., Numerical Simulation of Heat Transfer in Blood Flow Altered by Electroosmosis through Tapered Micro-Vessels, Microvasc. Res, vol. 118, pp. 162-172,2018b.

  20. Prakash, J. and Tripathi, D., Electroosmotic Flow of Williamson Ionic Nanoliquids in a Tapered Microfluidic Channel in Presence of Thermal Radiation and Peristalsis, J. Mol. Liq., vol. 256, pp. 352-371,2018.

  21. Qi, C., Wan, Y.L., Wang, G.Q., and Han, D.T., Study on Stabilities, Thermophysical Properties and Natural Convective Heat Transfer Characteristics of TiO2-Water Nanofluids, Indian J. Phys, vol. 92, no. 4, pp. 461-478,2018.

  22. Raizah, Z., Aly, A.M., and Ahmed, S.E., Natural Convection Flow of a Power-Law Non-Newtonian Nanofluid in Inclined Open Shallow Cavities Filled with Porous Media, Int. J. Mech. Sci, vol. 140, pp. 376-393,2018.

  23. Shah, Z., Islam, S., Gul, T., Bonyah, E., and Khan, M.A., The Electrical MHD and Hall Current Impact on Micropolar Nanofluid Flow between Rotating Parallel Plates, Results Phys., vol. 9, pp. 1201-1214,2018.

  24. Shahid, A., Bhatti, M., Beg, O.A., and Kadir, A., Numerical Study of Radiative Maxwell Viscoelastic Magnetized Flow from a Stretching Permeable Sheet with the Cattaneo-Christov Heat Flux Model, Neural Comput. Appl., vol. 30, pp. 3467-3478,2018.

  25. Sheikholeslami, M., Application of Darcy Law for Nanofluid Flow in a Porous Cavity under the Impact of Lorentz Forces, J. Mol. Liq, vol. 266, pp. 495-503,2018a.

  26. Sheikholeslami, M., CuO-Water Nanofluid Flow due to Magnetic Field inside a Porous Media Considering Brownian Motion, J. Mol. Liq., vol. 249, pp. 921-929,2018b.

  27. Sheikholeslami, M., Finite Element Method for PCM Solidification in Existence of CuO Nanoparticles, J. Mol. Liq., vol. 265, pp. 347-355,2018c.

  28. Sheikholeslami, M., Influence of Magnetic Field on Al2O3-H2O Nanofluid Forced Convection Heat Transfer in a Porous Lid Driven Cavity with Hot Sphere Obstacle by Means of LBM, J. Mol. Liq, vol. 263, pp. 472-488,2018d.

  29. Sheikholeslami, M., Magnetic Source Impact on Nanofluid Heat Transfer Using CVFEM, Neural Comput. Appl., vol. 30, no. 4, pp. 1055-1064,2018e.

  30. Sheikholeslami, M., Numerical Investigation of Nanofluid Free Convection under the Influence of Electric Field in a Porous Enclosure, J Mol. Liq., vol. 249, pp. 1212-1221,2018f.

  31. Sheikholeslami, M., Numerical Simulation for Solidification in a LHTESS by Means of Nano-Enhanced PCM, J. Taiwan Inst. Chem. Eng., vol. 86, pp. 25-41,2018g.

  32. Sheikholeslami, M., Solidification of NEPCM under the Effect of Magnetic Field in a Porous Thermal Energy Storage Enclosure Using CuO Nanoparticles, J. Mol. Liq, vol. 263, pp. 303-315,2018h.

  33. Sheikholeslami, M., Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer, Amsterdam: Elsevier, 2018i.

  34. Sheikholeslami, M., New Computational Approach for Exergy and Entropy Analysis of Nanofluid under the Impact of Lorentz Force through a Porous Media, Comput. Methods Appl. Mech. Eng., vol. 344, pp. 319-333,2019a.

  35. Sheikholeslami, M., Numerical Approach for MHD Al2O3-Water Nanofluid Transportation inside a Permeable Medium Using Innovative Computer Method, Comput. Methods Appl. Mech. Eng., vol. 344, pp. 306-318,2019b.

  36. Sheikholeslami, M. and Bhatti, M.M., Active Method for Nanofluid Heat Transfer Enhancement by Means of EHD, Int. J. Heat Mass Transf., vol. 109, pp. 115-122,2017a.

  37. Sheikholeslami, M. and Bhatti, M.M., Forced Convection of Nanofluid in Presence of Constant Magnetic Field Considering Shape Effects of Nanoparticles, Int. J. Heat Mass Transf., vol. 111, pp. 1039-1049,2017b.

  38. Sheikholeslami, M. and Chamkha, A.J., Electrohydrodynamic Free Convection Heat Transfer of a Nanofluid in a Semi-Annulus Enclosure with a Sinusoidal Wall, Numer. Heat Transf., Part A, vol. 69, no. 7, pp. 781-793,2016.

  39. Sheikholeslami, M., Darzi, M., and Li, Z., Experimental Investigation for Entropy Generation and Exergy Loss of Nano-Refrigerant Condensation Process, Int. J. Heat Mass Transf., vol. 125, pp. 1087-1095,2018a.

  40. Sheikholeslami, M. and Ellahi, R., Three Dimensional Mesoscopic Simulation of Magnetic Field Effect on Natural Convection of Nanofluid, Int. J. Heat Mass Transf, vol. 89, pp. 799-808,2015.

  41. Sheikholeslami, M., Gerdroodbary, M.B., Moradi, R., Shafee, A., and Li, Z., Application of Neural Network for Estimation of Heat Transfer Treatment of Al2O3-H2O Nanofluid through a Channel, Comput. Methods Appl. Mech. Eng., vol. 344, pp. 1-12, 2019a.

  42. Sheikholeslami, M., Ghasemi, A., Li, Z., Shafee, A., and Saleem, S., Influence of CuO Nanoparticles on Heat Transfer Behavior of PCM in Solidification Process Considering Radiative Source Term, Int. J. Heat Mass Transf., vol. 126, pp. 1252-1264,2018b.

  43. Sheikholeslami, M., Haq, R.U., Shafee, A., and Li, Z., Heat Transfer Behavior of Nanoparticle Enhanced PCM Solidification through an Enclosure with V Shaped Fins, Int. J. Heat Mass Transf., vol. 130, pp. 1322-1342,2019b.

  44. Sheikholeslami, M., Jafaryar, M., Saleem, S., Li, Z., Shafee, A., and Jiang, Y., Nanofluid Heat Transfer Augmentation and Exergy Loss inside a Pipe Equipped with Innovative Turbulators, Int. J. Heat Mass Transf., vol. 126, pp. 156-163,2018c.

  45. Sheikholeslami, M., Jafaryar, M., Shafee, A., and Li, Z., Nanofluid Heat Transfer and Entropy Generation through a Heat Exchanger Considering a New Turbulator and CuO Nanoparticles, J. Therm. Anal. Calorim., vol. 134, pp. 2295-2303,2018d.

  46. Sheikholeslami, M., Li, Z., and Shafee, A., Lorentz Forces Effect on NEPCM Heat Transfer during Solidification in a Porous Energy Storage System, Int. J. Heat Mass Transf., vol. 127, pp. 665-674,2018e.

  47. Sheikholeslami, M. and Shehzad, S., Simulation of Water based Nanofluid Convective Flow inside a Porous Enclosure via Non-Equilibrium Model, Int. J. Heat Mass Transf., vol. 120, pp. 1200-1212,2018.

  48. Sheikholeslami, M., Shehzad, S., Abbasi, F., and Li, Z., Nanofluid Flow and Forced Convection Heat Transfer due to Lorentz Forces in a Porous Lid Driven Cubic Enclosure with Hot Obstacle, Comput. Methods Appl. Mech. Eng., vol. 338, pp. 491-505, 2018f.

  49. Sheikholeslami, M., Shehzad, S., Li, Z., and Shafee, A., Numerical Modeling for Alumina Nanofluid Magnetohydrodynamic Convective Heat Transfer in a Permeable Medium Using Darcy Law, Int. J. Heat Mass Transf., vol. 127, pp. 614-622,2018g.

  50. Soomro, F.A., Zaib, A., Haq, R.U., and Sheikholeslami, M., Dual Nature Solution of Water Functionalized Copper Nanoparticles along a Permeable Shrinking Cylinder: FDM Approach, Int. J. Heat Mass Transf., vol. 129, pp. 1242-1249,2019.

  51. Tripathi, D., Jhorar, R., Beg, O.A., and Shaw, S., Electroosmosis Modulated Peristaltic Biorheological Flow through an Asymmetric Microchannel: Mathematical Model, Meccanica, vol. 53, no. 8, pp. 2079-2090,2018a.

  52. Tripathi, D., Sharma, A., and Beg, O.A., Joule Heating and Buoyancy Effects in Electro-Osmotic Peristaltic Transport of Aqueous Nanofluids through a Microchannel with Complex Wave Propagation, Adv. Powder Technol., vol. 29, no. 3, pp. 639-653,2018b.

  53. Tripathi, D., Yadav, A., Beg, O.A., and Kumar, R., Study of Microvascular Non-Newtonian Blood Flow Modulated by Electroosmosis, Microvasc. Res., vol. 11l, pp. 28-36,2018c.

  54. Usman, M., Haq, R.U., Hamid, M., and Wang, W., Least Square Study of Heat Transfer of Water based CU and AG Nanoparticles along a Converging/Diverging Channel, J. Mol. Liq., vol. 249, pp. 856-867,2018.

  55. Yan, Y., Zhang, H., and Hull, J., Numerical Modeling of Electrohydrodynamics (EHD) Effect on Natural Convection in an Enclosure, Numer. Heat Transf, Part A, vol. 46, no. 5, pp. 453-471,2004.