Abstract
The effects of magnetic force, acting vertically downward on natural convection within a porous trapezoidal enclosure saturated with an electrically conducting fluid have been investigated numerically. The bottom wall of the enclosure is subjected to a constant hot temperature and the top wall experiences a constant cold temperature whereas the remaining sidewalls are kept adiabatic. The physical problems are represented mathematically by different sets of governing equations along with the corresponding boundary conditions. By using Galerkin weighted residual method of finite element formulation, the non-dimensional governing equations are discritized. For natural convection in a porous medium the influential parameters are the modified Rayleigh number Ram, the fluid Rayleigh number Raf , the inclination angle of the sidewalls of the cavity γ, the rotational angle of the enclosure Φ and the Hartmann number Ha, through which different thermo-fluid characteristics inside the enclosure are obtained. In the present study, the obtained results are presented in terms of streamlines, isotherms and average Nusselt number along the hot wall. The result shows that with increasing Ha, the diffusive heat transfer become prominent even though the modified Rayleigh number increases. Optimum heat transfer rate is obtained at higher values of Ram in the absence of magnetic force.
Highlights
Heat transfer through saturated porous media is an important development and an area of very rapid growth in contemporary trend of heat transfer research
Natural convection heat transfer in a cavity saturated with porous media in the presence of magnetic field is a new branch of thermo-fluid mechanics
Natural convection heat transfer within such an enclosure is a function of the temperature difference between the hot and cold walls, the boundary conditions, the inclination angle of the side walls of the cavity, the rotational angle of the cavity, the permeability of the porous medium, magnitude and direction of the applied magnetic fields and the properties of the electrically conducting fluid flow
Summary
Heat transfer through saturated porous media is an important development and an area of very rapid growth in contemporary trend of heat transfer research. Natural convection heat transfer in a cavity saturated with porous media in the presence of magnetic field is a new branch of thermo-fluid mechanics. Geophysical systems: heat exchange between soil and atmosphere, dynamics of terrestrial heat flow through aquifer; compacted beds for the chemical industry, high performance insulations for cryogenic containers, sensible heat storage beds, food processing, grain storage, solar power collectors, flows over heat exchanger pipes, cooling of electronic systems, cooling of radioactive waste containers and the post-accidental heat removal in nuclear reactors have become increasingly important to the engineers and scientists In this analysis, The effects of permeability and different thermal boundary conditions on the natural convection in a square porous cavity by using Darcy–Forchheimer model [10] and Darcy–Brinkman-Forchheimer model [11, 12] have been studied numerically. Analysis of the influence of magnetic field on the natural convection in a trapezoidal enclosure saturated with porous medium of constant porosity
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
