Combined free and forced convection flow of water at 4°C from a vertical plate with variable temperature

Abstract

<span style="font-size:11.0pt;line-height:115%; font-family:" calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-fareast-font-family:="" "times="" new="" roman";mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:="" minor-latin;mso-bidi-font-family:"times="" roman";mso-ansi-language:en-us;="" mso-fareast-language:en-us;mso-bidi-language:ar-sa"="">Combined convective flow of water at 4°C past a semi-infinite vertical plate whose temperature varies as xⁿ is studied. Numerical solutions to local non-similarity equations are derived and the velocity and the temperature profiles are shown on graphs. It is observed that both velocity and temperature decrease with increasing <i>'n' </i>when <i>Gr/Re²>0. </i>For <i>Gr/Re²<0, </i>the flow may become unstable. Skin friction decreases with increasing <i>'n' </i>for <i>Gr/Re²>0 </i>and opposite is the case for <i>Gr/Re²<0. </i>The Nusselt number increases with increasing <i>'n' </i>for both <i>Gr/Re^2>_<0.</i></span>