Computational Analysis of MHD Flow in Trapezoidal Cavity with Sinusoidal wavy Surface Filled with Hybrid Nanofluid

Mahede- Ul- Hassan; Khadiza Begum; Abdul Karim

doi:https://doi.org/10.14445/22315373/IJMTT-V65I9P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 9 | Year 2019 | Article Id. IJMTT-V65I9P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I9P508

Computational Analysis of MHD Flow in Trapezoidal Cavity with Sinusoidal wavy Surface Filled with Hybrid Nanofluid

Mahede- Ul- Hassan, Khadiza Begum , Abdul Karim

Citation :

Mahede- Ul- Hassan, Khadiza Begum , Abdul Karim, "Computational Analysis of MHD Flow in Trapezoidal Cavity with Sinusoidal wavy Surface Filled with Hybrid Nanofluid," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 9, pp. 49-56, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I9P508

Abstract

Two or more nanoparticles in a base fluid has been an increasing interest in modern years due to great improvement in heat transfer performance. In the present work, an analysis is carried out to study the flow characteristics and heat transfer performance on convection in a lid-driven trapezoidal cavity with sinusoidal bottom wall composed of equal quantities of Cu and Al2O3 nanoparticles dispersed in water base fluid. Further, the effect of an applied magnetic field 𝐵𝑜 on the flow pattern of the cavity is also be analysed.The sinusoidal bottom wall is heated while the top side of the cavity is cooled isothermally and the left and right walls are insulated. All the walls of the cavity are kept as no-slip walls except the upper wall which is a moving wall driven by a uniform velocity 𝑉 along the 𝑥-axis. The associated governing equations have been solved using finite element method. The parametric study on the implication of Richardson number Ri and solid volume fraction of nanoparticles 𝜑, Prandtl number 𝑃𝑟 and Hartmann number 𝐻𝑎on the flow structure and heat transfer characteristics are performed in details while the Reynolds number and Prandtl number considered fixed. The numerical results indicated that the Richardson number have significant effects on the flow and heat transfer performance. On the other hand the results also show significant effects of increasing the volume fraction of hybrid nanofluid. Moreover, it is also noticed that combination of two different nanoparticles suspension have a better performance of heat transfer. Results are presented in terms of streamlines, isotherms and average Nusselt number of the hybrid nanofluid for different values of respective parameters.

Keywords

Hybrid Nanofluid, Finite Element Method, MHD, CFD, Cavity, Convection.

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