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The first order boundary-layer analysis for the laminar natural convection flow over a semi-infinite horizontal or near-horizontal heated plate has been extended to include variable properties effects. Detailed calculations are presented for air and water flows. I t is shown further how these calculations can be extended to predict heat transfer rates on plates of rectangular planforms. Because of the lack of sufficiently detailed experi mental data, a thorough comparison between the latter anddoi:10.1098/rspa.1976.0173 fatcat:dbdy4z3mvzeajobi3hl6irf2ai