Finite element modeling of dual convection in a Y shaped porous cavity containing viscus fluid

This communication analyzes the dual convection regime of Newtonian fluid flow in a Y shaped porous enclosure with heat and mass distribution, using mathematical model dimensionless PDEs an effective finite element method. The top curved wall is assumed hot side walls are cold while bottom adiabatic. problem discretized P2 id="m2">P1 methods to approximate displacement, pressure, velocity. linearized system equations solved Newton’s iterative scheme. study evaluates impact key parameters such as Hartmann number, Lewis Rayleigh buoyancy ratio on flow, transfer rate, rate. Results indicate that increase numbers amplifies both rates. has noteworthy rates, greater influence seen for. presents graphical representations temperature fields, well Nusselt Sherwood provide comprehensive visualization results. Heat rate minimum for concentration dominated counter ( id="m3">N=−2 ) maximum assisting id="m4">N=2 .