Two-Dimensional Numerical Study of Mixed Convection Evaporation from an Inclined Wet Corrugated Plate

This paper presents the two-dimensional numerical study of mixed convection evaporation from an inclined corrugated wet plate subjected to a constant heat flux density. Assumptions were adopted and boundary conditions are imposed so as to neglect certain terms in the continuity, momentum, heat and diffusion equations that govern the phenomenon on the boundary layers. The homotopic transformation then allows the equation of the curve to be transformed from a corrugation to that of a straight line. Adimensionnalization allowed us not only to link physical parameters together but also to obtain equations that no longer depend on the measurement systems. From the dimensionless equations, we were able to apply the implicit finite difference method. The numerical resolution of the obtained discretized equations was programmed on MATLAB. We have examined and presented the influences of wavelength, wave amplitude, and plate inclination on the dimensionless velocity, temperature, and concentration fields, as well as on the corresponding friction coefficient, Nusselt number, and Sherwood number. Depending on the dimensionless quantity or the exchange coefficient studied, the effects of the inclination of the plate, the wavelength and the wave amplitude can be similar, or two variables cause the same effect, but the third variable generates the opposite effect. Results for unstable numerical schemes on the dimensionless velocity distribution were obtained when we increased the value of the Reynolds number, the x-step, the y-step or when we decreased the value of the Richardson number indicating that the supposed laminar flow tends towards a turbulent regime.