Analysis of natural convection of bingham fluids in a square enclosure with velocity slip on the walls

نوع: Type: thesis

مقطع: Segment: masters

عنوان: Title: Analysis of natural convection of bingham fluids in a square enclosure with velocity slip on the walls

ارائه دهنده: Provider: Sajad Fakhri

اساتید راهنما: Supervisors: Mohammad Saeed Aghighi (Ph. D)

اساتید مشاور: Advisory Professors:

اساتید ممتحن یا داور: Examining professors or referees: Fazlollah Eskandari Manjili (Ph.D) - Amireh Nourbakhsh (PhD)

زمان و تاریخ ارائه: Time and date of presentation: Februry, 19, 2020

مکان ارائه: Place of presentation: سمینار 3 مکانیک

چکیده: Abstract: In this study natural convection of bingham fluids in a square enclosure with velocity slip on the walls has been numerically investigated. The governing partial differential equations consist of continuity, momentum and energy were written, and solved numerically using a finite element method over a wide range of relevant dimensionless parameters, including Rayleigh number ( 5*〖10〗^3≤Ra≤〖10〗^5), Prandtl number (Pr = 10), Bingham number ( 0≤Bn≤〖Bn〗_max) and friction coefficient (50≤C_f≤5000). The effect of wall slip on flow and heat transfer parameters is investigated. The flow field and temperature inside the enclosure were analyzed using velocity vectors and temperature contours. Also yielded and un-yielded regions in different parts of flow domain have been marked. The mean Nusselt ((Nu) ̅) and convection heat transfer is found to increase with decreasing values of friction coefficient. It was found that the reduction of friction on the wall decreases the un-yielded regions and facilitate convection flow in the enclosure. decreasing of friction at low Rayleigh numbers can leads to increase maximum value of yield Stress, but at high Rayleigh numbers most slip effect is visible at medium Bingham numbers. Key Words: Natural convection, Nusselt number, Bingham number, Square enclosure, Wall slip

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