Unsteady MHD Natural Convection Flow of Nanofluid in a Cavity Containing Adiabatic Obstacle with Heat Corners


  • A.M. Rashad Aswan University, Aswan, 81528, Egypt
  • M.A. Mansour Assuit University, Assuit, Egypt
  • Rama Subba Reddy Gorla Cleveland State University, Cleveland, Ohio 44115, USA
  • Sadia Siddiqa COMSATS University Islamabad, Attock Campus, Kamra Road, 43600, Attock, Pakistan
  • T. Salah Arab Academy for Science & Technology and Maritime Transport (AASTMT), Aswan Branch, Egypt




Magnetic field, Nanofluid, Natural convection, Cavity, Adiabatic block.


 Unsteady natural convection heat transfer of nanofluid within cavities with local heaters occurs in several engineering applications. Therefore, investigation of nanofluid flow and heat transfer processes in such systems has a considerable value for evolution of industry. In the current investigation, unsteady MHD natural convection flow of Cu-water nanofluid and heat transfer behavior in square cavity containing a centered adiabatic square block. The mathematical formulation part for present problem is presented in succeeding section. It has been found the size of the adiabatic obstacle influences the behavior of the nanofluid and conduction becomes dominant when size aspect ratio increases to 0.5. It is also noticed that angle of the applied magnetic field can maximize(minimum)the rate of heat transfer if applied in the stream-wise (normal) direction. The novelty of the present work is to consider cavity containing a centered adiabatic square block as well as unsteady effects in the natural convection of nanofluids.

Author Biographies

A.M. Rashad, Aswan University, Aswan, 81528, Egypt

Department of Mathematics, Faculty of Science

M.A. Mansour, Assuit University, Assuit, Egypt

Department of Mathematics, Faculty of Science

Rama Subba Reddy Gorla, Cleveland State University, Cleveland, Ohio 44115, USA

Department of Mechanical Engineering

T. Salah, Arab Academy for Science & Technology and Maritime Transport (AASTMT), Aswan Branch, Egypt

Basic and Applied Sciences Department, College of Engineering and Technology


SUS. Choi, Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, FED 231/MD 1995; 66: 99-105.

JA. Eastman, SUS. Choi, S. Li, W. Yu, LJ. Thompson, Anomalously increased effective thermal conductivities of Ethylene glycol-based nanofluids containing Copper nanoparticles. Appl. Phys. Lett 2001; 78: 718-720. https://doi.org/10.1063/1.1341218

W. Yu, SUS. Choi, The role of interfacial layer in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. J. Nanoparticles Res 2003; 5: 167-171. https://doi.org/10.1023/A:1024438603801

MA. Mansour, Sameh E. Ahmed, AM. Rashad, MHD natural convection in a square enclosure using nanofluid with the influence of thermal boundary conditions, Journal of Applied Fluid Mechanics, 2016; 9(5): 2515-2525. https://doi.org/10.18869/acadpub.jafm.68.236.24409

AM. Rashad, RSR Gorla, MA. Mansour, SE. Ahmed, Magnetohydrodynamic effect on natural convection in a cavity filled with porous medium saturated with nanofluid, Journal of Porous Media 2017; 20(4): 363-379. https://doi.org/10.1615/JPorMedia.v20.i4.50

J. Raza, A. Rohni and Z. Omar, "MHD Flow and Heat Transfer of Cu-water nanofluid in a semi porous channel," Intternational Journal of Heat and Mass Transfer 2106; 103: 336-340. https://doi.org/10.1016/j.ijheatmasstransfer.2016.07.064

M. Azimi and R. Riazi, "MHD copper-water nanofluid flow and heat transfer through convergent-divergent channel," Journal of Mechanical Science and Technology 2016; 30: 4679-4686. https://doi.org/10.1007/s12206-016-0938-3

AM. Rashad, MM. Rashidi, Giulio Lorenzini, Sameh E. Ahmed, Abdelraheem M. Aly, Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium saturated with Cu-water nanofluid, International Journal of Heat and Mass Transfer, 2017; 104: 878-889. https://doi.org/10.1016/j.ijheatmasstransfer.2016.08.025

RSR. Gorla, S. Siddiqa, MA. Manosur, AM. Rashad, T. Salah, Heat source/sink effects on natural convection of a hybrid nanofluid-filled porous cavity, Journal of Thermophysics and Heat Transfer 2017; 31(4): 847-857. https://doi.org/10.2514/1.T5085

MA. Mansour, S. Siddiqa, RSR. Gorla, AM. Rashad, Effects of heat source and sink on entropy generation and MHD natural convection of a Al2O3-Cu/water hybrid nanofluid filled with square porous cavity, Thermal Science and Engineering Progress, 2018; 6: 57-71. https://doi.org/10.1016/j.tsep.2017.10.014

Aminossadati SM, Ghasemi B. Natural convection cooling of a localized heat source at the bottom of a nanofluid-filled enclosure. Eur. J. Mech. B/Fluids 2009; 28: 630-40. https://doi.org/10.1016/j.euromechflu.2009.05.006

Khanafer K, Vafai K, Lightstone M. Buoyancy-driven heat transfer enhancement in a two dimensional enclosure utilizing nanofluids. Int. J. Heat Mass Transfer 2003; 46: 3639-53. https://doi.org/10.1016/S0017-9310(03)00156-X

Abu-Nada E, Chamkha AJ. Effect of nanofluid variable properties on natural convection in enclosures filled with an CuO-EG-water nanofluid. Int. J. Therm. Sci 2010; 49: 2339- 52. https://doi.org/10.1016/j.ijthermalsci.2010.07.006

Maxwell JA. Treatise on electricity and magnetism. 2nd ed. Cambridge, UK: Oxford University Press; 1904.

Brinkman HC. The viscosity of concentrated suspensions and solution. J Chem Phys 1952; 20: 571-81. https://doi.org/10.1063/1.1700493




How to Cite

A.M. Rashad, M.A. Mansour, Rama Subba Reddy Gorla, Sadia Siddiqa, T. Salah. Unsteady MHD Natural Convection Flow of Nanofluid in a Cavity Containing Adiabatic Obstacle with Heat Corners. J. Adv. Therm. Sci. Res. [Internet]. 2019Sep.14 [cited 2021Sep.26];6(1):43-50. Available from: https://www.avantipublishers.com/jms/index.php/jatsr/article/view/879