الفهرس 
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Abstract
The aim of this study is to look in the laminar cross flow mixed convection heat transfer from an infmite isothermal horizontal circular cylinder to different Prandtl number fluids. The conservation equations governing the transfer of mass, momentum and energy in the cylindrical coordinate system were solved by the Patanker - Spalding technique [1].
Throughout the defmition of an effective Reynolds number, obtained by combining vectorially the natural and forced convection flows, it was possible to eliminate the separate effect of the forced convection Reynolds number.
We start the investigation by considering the case of air due to the importance and common existence ofthis situation, Three correlating equations for the combined convection heat transfer Nusselt number in air were obtained, covering three ranges of the effective Reynolds number.
After that, we studied the heat transfer to eight different Prandtl number fluids .The selected values of the Prandtl number are 0.01, 0.1, 1,5,10,50, 100,500, and individual correlating equations were derived by the division of the total range of the effective Reynolds number into sub segments in order to minimize the deviation of the correlating equations from the data obtained numerically.
The horizontal forced flow Reynolds number was varied between 1 and 500, while the upward natural flow Grashofnumber was varied between 1 and 10’. The results include patterns of the streamlines and isotherm around the cylinder as well as the local Nusselt number circumfrential distribution around the cylinder periphery and fmally the average Nusselt number.