Mesoscopic analysis of heatline and massline during double-diffusive MHD natural convection in an inclined cavity |
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| Affiliation: | 1. Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;2. Department of Mathematics & Statistics, Georgia State University, Atlanta 30303, USA;1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, India;2. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, India;3. Department of Mechanical Engineering, Firat University, Elazig 23119, Turkey;4. Department of Mechanical Engineering, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | Double-diffusive natural convection in an inclined cavity with the presence of magnetic field is studied numerically via heatline and massline approach. The governing equations are discretized using the Lattice Boltzmann Method (LBM). In this investigation, the controlling parameters involved are Rayleigh number (103 ≤ Ra ≤ 105), buoyancy ratio (−5 ≤ N ≤ 5), cavity inclination angle (0° ≤ Ø ≤ 180°), Lewis number (2 ≤ Le ≤ 10), Prandtl number (Pr = 5.0) and Hartmann number (0 ≤ Ha ≤ 50). The numerical results obtained by the effect of parameters mentioned above are reported as contours of streamlines, isotherms, isoconcentrations, heatlines, and masslines. The obtained results are compared with the existing literature to validate the coding. The heat and mass transfer rate decrease with increasing the magnetic field and increase with an increase in Rayleigh number. The impact of Ø is maximum for higher Ra and negligible for lower Ra (103). Increasing Le influences the mass transfer rate to increase and heat transfer to reduce for both opposing and aiding flow. |
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