The Effects of Magnetohydrodynamics on Rayleigh–Bénard Convection of Bingham nanofluid in a enclosure

نوع: Type: thesis

مقطع: Segment: masters

عنوان: Title: The Effects of Magnetohydrodynamics on Rayleigh–Bénard Convection of Bingham nanofluid in a enclosure

ارائه دهنده: Provider: Babak Shahbazian

اساتید راهنما: Supervisors: Dr. Mohammad Saeid Aghighi

اساتید مشاور: Advisory Professors:

اساتید ممتحن یا داور: Examining professors or referees: Dr. Mohsen Goodarzi-Dr Amire Nourbakhsh

زمان و تاریخ ارائه: Time and date of presentation: Saturday, 9/10/2021 - 16:30

مکان ارائه: Place of presentation: virtual presentation in faculty of engineering website

چکیده: Abstract: In this study, the effect of magnetic field on the Rayleigh-Bénard convection of Bingham nanofluid in a square enclosure has been numerically investigated. Partial differential equations governing fluid flow and heat transfer, using the finite element method, based on coding in MATLAB environment, for various values of dimensionless parameters, including Prandtl number (Pr=10), Yield number (0≤Y≤Y_max), Hartmann number (0≤Ha≤〖Ha〗_max), Rayleigh number (5×〖10〗^3≤Ra≤〖10〗^5) and nanofluid parameters including Lewis number (0.1≤Le≤10), the buoyancy ratio (0.1≤Nr≤0"." 4), Brownian motion and Thermophoresis (0.1≤Nb=Nt≤0"." 4) have been solved. The temperature, concentration and flow fields inside the enclosure were shown using temperature, concentration and flow contours. The results show that with decreasing Rayleigh number and increasing Yield and Hartmann number, the convective current decreases and consequently the flow velocity decreases. On the other hand, with the increase of Yield and Hartmann numbers, the local and mean Nusselt and Sherwood numbers decrease and the heat transfer and mass transfer through convection decrease to the extent that in Yield and Hartmann numbers the maximum of all current becomes quasi-solid and heat transfer occurs only in the form of conduction. It was also observed that with increasing Lewis number, the concentration is more evenly distributed in the enclosure. Increasing the Brownian motion parameter reduces the concentration difference in the enclosure and the mean Sherwood number but with increasing thermophoresis parameter, the concentration difference and the mean Sherwood number increases. The direction of rotation of the fluid in the enclosure can be clockwise or counterclockwise. Examining the flow, temperature, and concentration contours, it is observed that with increasing Yield and Hartmann numbers, the amount of current intensity decreases and quasi-solid areas grow inside the enclosure, and the temperature and concentration lines move towards linearity

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