Eur. Phys. J. Plus (2021) 136: 889
https://doi.org/10.1140/epjp/s13360-021-01892-0

Regular Article

On the flow patterns and thermal control of radiative natural convective hybrid nanofluid flow inside a square enclosure having various shaped multiple heated obstacles

Department of Mathematics, M. A. C. M. High School, 732121, Malda, West Bengal, India

^a nilankushacharya@gmail.com

Received: 13 June 2021
Accepted: 22 August 2021
Published online: 28 August 2021

Abstract

This investigation reveals the flow patterns of natural convective hybrid nanofluid inside a square enclosure. The enclosure is presumed to be filled with water-based ferrous-graphene nanoparticles and multiple heated obstacles with various shapes. Three types of heated obstacles namely circular, square, and diamond are considered to visualize the flow patterns. The bottom and left-sided walls are presumed to be uniformly heated, whereas the top surface is adiabatic and the right-sided wall is made isothermally cooled. Moreover, thermal radiation and magnetic effects are supposed to exist within the flow region. A complete investigation is conducted to extract that how these different shaped heated obstacles influence the hydrothermal pattern. Appropriate similarity variables translate the dimensional equation into non-dimensional. Later on, Galerkin finite element scheme is introduced to deal with those nondimensional flow equations. The grid independence, comparison test, and experimental validation are conducted to exhibit the competency of the current model. Several isotherms, streamlines, velocity distribution, and average Nusselt number plots are depicted to perceive the parametric impact on such cavity flow. These plots are made for dimensionless factors such as Rayleigh number a , thermal radiation , Hartmann number , nanoparticle volume fraction . The consequences imply that the isotherms intensify for Rayleigh number and extreme distortion is noted for circular obstacle, while other parameters disclose opposite scenario in isotherms. The average Nusselt number diminishes for Hartmann number but amplifies for nanoparticle concentration. The maximum increment in heat transport is predicted for Rayleigh number variation and circular obstacles. It is approximately 27.39%. The lowest enhancement is provided by diamond-shaped obstacles.