MHD natural convection flow enclosure in a corrugated cavity filled with a porous medium

• Published in: International journal of heat and mass transfer Vol. 121; pp. 1168 - 1178
• Main Authors: Haq, Rizwan Ul, Soomro, Feroz Ahmed, Mekkaoui, Toufik, Al-Mdallal, Qasem M.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.06.2018; Elsevier BV
• Subjects: Corrugated cavity; Darcy number; Finite element analysis; Finite element method; Fluid dynamics; Free convection; Hartmann number; Heat transfer; Isotherms; Magnetohydrodynamics; Mathematical analysis; Mesh generation; MHD; Natural convection; Partial differential equations; Porous materials; Porous media; Porous medium; Rayleigh number; Temperature distribution; Finite element method; MHD; Natural convection; Corrugated cavity; Porous medium
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2018.01.063

A heat transfer phenomenon describing the complete structure of heat and fluid flow enclosed in a corrugated cavity filled with porous media. Results are describing the various heated lengths of the corrugated cavity and their effect on heat transfer rate. [Display omitted] •A complete structure of corrugated surface is established for heat transfer effects.•Cavity is filled with porous media in the presence of MHD with partially heated source.•Mathematical model is solved via FEM and whole results are attained in term of isotherms and steam lines.•Different heated parts describe the significant effects of heat transfer inside the cavity.•Nusselt number, velocity and temperature profile are calculate at the different portion of the cavity. 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.