TY - JOUR
T1 - MHD natural convection flow enclosure in a corrugated cavity filled with a porous medium
AU - Haq, Rizwan Ul
AU - Soomro, Feroz Ahmed
AU - Mekkaoui, Toufik
AU - Al-Mdallal, Qasem M.
N1 - Funding Information:
Authors would like to acknowledge and express their gratitude to the United Arab Emirates University, Al Ain, UAE for providing the financial support with Grant No. 31S240-UPAR (2) 2016.
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/6
Y1 - 2018/6
N2 - In this article, a complete structure of corrugated surface is established for heat transfer effects in the presence of uniform magnetic field. A natural convection phenomenon is presented for MHD flow filled in a porous corrugated cavity at various wavelengths and partially heated domain. The governing partial differential equations consist of continuity, momentum and energy equations along with the corrugated conditions at the surface. This system is properly nondimensionalized and then solved via finite element method (FEM). In order to obtain the high resolution near the surface of corrugation, mesh generation is improved at the various portions of the cavity. The flow patterns and temperature distribution within the entire domain of the cavity can be visualized through streamlines and isotherms, respectively. Computational experiment is performed for various values of wavelength number (0⩽n⩽15), Rayleigh number (104⩽Ra⩽106), Darcy number (10-5⩽Da⩽10-3), and Hartmann number (10⩽Ha⩽103) to illustrate the effects on streamlines, isotherms, velocities and heat transfer rate. Heat transfer rate is increased due to increase in Rayleigh number and wavelength parameter. Darcy and Hartmann number does not have significant effects on the temperature distribution.
AB - In this article, a complete structure of corrugated surface is established for heat transfer effects in the presence of uniform magnetic field. A natural convection phenomenon is presented for MHD flow filled in a porous corrugated cavity at various wavelengths and partially heated domain. The governing partial differential equations consist of continuity, momentum and energy equations along with the corrugated conditions at the surface. This system is properly nondimensionalized and then solved via finite element method (FEM). In order to obtain the high resolution near the surface of corrugation, mesh generation is improved at the various portions of the cavity. The flow patterns and temperature distribution within the entire domain of the cavity can be visualized through streamlines and isotherms, respectively. Computational experiment is performed for various values of wavelength number (0⩽n⩽15), Rayleigh number (104⩽Ra⩽106), Darcy number (10-5⩽Da⩽10-3), and Hartmann number (10⩽Ha⩽103) to illustrate the effects on streamlines, isotherms, velocities and heat transfer rate. Heat transfer rate is increased due to increase in Rayleigh number and wavelength parameter. Darcy and Hartmann number does not have significant effects on the temperature distribution.
KW - Corrugated cavity
KW - Finite element method
KW - MHD
KW - Natural convection
KW - Porous medium
UR - http://www.scopus.com/inward/record.url?scp=85041659301&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85041659301&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2018.01.063
DO - 10.1016/j.ijheatmasstransfer.2018.01.063
M3 - Article
AN - SCOPUS:85041659301
SN - 0017-9310
VL - 121
SP - 1168
EP - 1178
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
ER -