Abstract: The problem of conjugate free convection in a square
cavity filled with nanofluid and heated from below by spatial wall
temperature is studied numerically using the finite difference method.
Water-based nanofluid with copper nanoparticles are chosen for the
investigation. Governing equations are solved over a wide range
of nanoparticle volume fraction (0 ≤ φ ≤ 0.2), wave number
((0 ≤ λ ≤ 4) and thermal conductivity ratio (0.44 ≤ Kr ≤ 6). The
results presented for values of the governing parameters in terms of
streamlines, isotherms and average Nusselt number. It is found that
the flow behavior and the heat distribution are clearly enhanced with
the increment of the non-uniform heating.
Abstract: Unsteady natural convection and heat transfer in a square cavity partially filled with porous media using a thermal
non-equilibrium model is studied in this paper. The left vertical wall is
maintained at a constant hot temperature Th and the right vertical wall
is maintained at a constant cold temperature Tc, while the horizontal
walls are adiabatic. The governing equations are obtained by applying
the Darcy model and Boussinesq approximation. COMSOL’s finite
element method is used to solve the non-dimensional governing
equations together with specified boundary conditions. The governing
parameters of this study are the Rayleigh number (Ra = 10^5, and Ra = 10^6 ), Darcy namber (Da = 10^−2, and Da = 10^−3),
the modified thermal conductivity ratio (10^−1 ≤ γ ≤ 10^4), the inter-phase heat transfer coefficien (10^−1 ≤ H ≤ 10^3) and the
time dependent (0.001 ≤ τ ≤ 0.2). The results presented for
values of the governing parameters in terms of streamlines in both
fluid/porous-layer, isotherms of fluid in fluid/porous-layer, isotherms
of solid in porous layer, and average Nusselt number.