Long rolls generated by natural convection in an inclined, rectangular enclosure

The three-dimensional velocity and temperature fields, and in turn theaverage Nusselt number and representative streaklines were computed by a finite-difference method for a cellular element with a length-to-height ratio of 7 and several postulated width-to-height ratios near unity in a rectangular enclosure heated from below, perfectly insulated on the lateral surfaces, and inclined about the long dimension. Calculations were carried out for Ra = 4000, Pr = 10 and a single grid spacing (non-uniformin the longdimension)for cells with dragless lateral boundaries and for those with one dragless and one rigid. Computations such as these have previously been utilized to develop a simple, theoretically based method for the prediction of Nu in horizontal enclosures of arbitrary aspectratios. Further calculations are necessary to support such a method of prediction for inclined enclosures and to define its limits of applicability.