A numerical study of natural convection inside an inclined cavity with
a hot wavy wall was carried out. This problem is solved by using a high
order Galerkin discretization scheme for the steady compressible
Navier-Stokes equations. The pointwise numerical fluxes are separated into
convective/viscous fluxes and acoustic fluxes. The decoupling of the
acoustic flux is due to non-central scheme employed near the wall. The
overall residual is integrated using the second-order Runge-Kutta scheme
with a preconditioning matrix. The validation of the numerical code used is ascertained by comparing our results with previously published results.
Results are shown in the form of streamlines, isotherms, local and average
Nusselt number distribution at Rayleigh number 105. The results are
presented for different angle of inclination (0o-180o) for three different
undulations (1-3) with different wave amplitude (0.0-0.4) and also different temperature differences. The results obtained show that the angle of inclination at 120o using two undulations gives the highest heat transfer rate.With the increase of amplitude from 0.1 to 0.4, the average Nusselt number raises by only 5%.