Convection in a triangular enclosure with a left wall heated either uniformly or non-uniformly, using a water-CuNanofluid and in the presence of a magnetic field

Abstract

An incompressible steady nanofluid flow through an isosceles triangular the tube in the presence of a magnetic field is the subject of a numerical investigation for heat transfer in this publication. Pressure is removed from the governing equations using the penalty approach. Equations that were produced and solved using the Galerkin weighted residual method. For this flow issue, we assumed that the cavity's left wall would be heated uniformly or unevenly while the cavity's right and bottom walls would remain cool.

Results are calculated for a variety of factors, such as the Hartman number Ha (), Rayleigh number Ra (), and Heat generation/absorption coefficient q () while, Prandtle number  and Solid volume fraction   are held constant at 6.2 and 0.03, respectively.

Figures are used to present these computed results in terms of Nusselt numbers, stream functions and isotherms. It has been observed that, for uniform heating, the strength of stream line circulations increases with an increase in the Rayleigh number , while the strength of stream line circulations decreases with an increase in the Hartman number. Where increasing heat absorption coefficient q, increases circulation strength and circulation cell moves to left wall in presence of heat sink and moves to cold right wall in presence of heat source .

When a heat source  is present in the cavity and a non-uniformly heated left wall is present, a higher temperature gradient is seen in the cavity. Isotherms are clustered to the left wall in the lower portion of the cavity and to the right wall in the upper portion, while isotherms near the bottom wall appear to be straight and parallel to the -axis.

However, the nusselt number along the bottom wall Nu-B rises with the increasing values of x, while Nu-L along the left wall first increases and then decreases, and Nu-R along the right wall decreases first and then increases with distance. On the other hand, the heat transfer rate is observed to be higher for smaller values of  along all the walls of the cavity.