Magnetic convection nanofluid confined in a cavity with chamfers containing cylinder obstacles with a heat source/sink

Abstract

The current research introduces a numerical treatment of MHD laminar convection flow within chamfers cavity containing adiabatic obstacle. Both the flow domain and the magnetic field are inclined with miscellaneous angles and the impacts of the heat absorption (generation) are conducted. The mathematical model of the considered problem is formulated and the finite element (FE) approach is developed to simulate the governing system. The prime outcomes detected that the growth of the chamfers ratio decreases the heat transfer rate within the cavity whereas increasing the aspect ratio affects the isotherms distributions which result in enhancing the average Nusselt numbers. Moreover, the presence of the magnetic field or the nanoparticles leads to slow fluid movement. An enhancement in the heat transfer with a relative of percentage of 16.6 is achieved with nanofluid of $\varphi =6\mathrm{\%}$ compare to the case of pure fluid at Ha = 100. Also, the highest percentage of the relative Nusselt number is about $258\mathrm{\%}$, concluded in the absence of magnetic field with Ra varies from ${10}^3$ to ${10}^6$.

Keywords:

• Obstacle
• chamfers cavity
• nanofluid
• finite element method
• MHD
• convection

Disclosure statement

No potential conflict of interest was reported by the author(s).