摘要 |
A heat transfer device having a heat source for collecting waste heat from a heat-generating system, the heat transfer device having fins in which the shape of the sides of the fins is preferably circular according to the general expression <maths id="MATH-US-00001" num="1"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MROW> <MSUP> <MROW> <MO>(</MO> <MROW> <MI>x</MI> <MO>-</MO> <MFRAC> <MN>1</MN> <MI>gamma</MI> </MFRAC> </MROW> <MO>)</MO> </MROW> <MN>2</MN> </MSUP> <MO>+</MO> <MSUP> <MROW> <MO>(</MO> <MROW> <MI>y</MI> <MO>-</MO> <MFRAC> <MI>rho</MI> <MI>gamma</MI> </MFRAC> </MROW> <MO>)</MO> </MROW> <MN>2</MN> </MSUP> </MROW> <MO>=</MO> <MFRAC> <MN>1</MN> <MSUP> <MI>gamma</MI> <MN>2</MN> </MSUP> </MFRAC> </MROW> <MO>,</MO> </MROW> </MATH> </MATHS> where <maths id="MATH-US-00002" num="2"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>gamma</MI> <MO>=</MO> <MFRAC> <MI>h</MI> <MI>k</MI> </MFRAC> </MROW> <MO>,</MO> </MROW> </MATH> </MATHS> h is the heat transfer coefficient between the fin and the surrounding fluid, k is the thermal conductivity of the fin material, <maths id="MATH-US-00003" num="3"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>rho</MI> <MO>=</MO> <MFRAC> <MSUB> <MI>q</MI> <MI>o</MI> </MSUB> <MROW> <MI>k</MI> <MO></MO> <MSTYLE> <MTEXT> </MTEXT> </MSTYLE> <MO></MO> <MSUB> <MI>theta</MI> <MI>o</MI> </MSUB> </MROW> </MFRAC> </MROW> <MO>,</MO> <MSUB> <MI>q</MI> <MI>o</MI> </MSUB> </MROW> </MATH> </MATHS> is the heat flow through the fin semi-base per unit depth and theta<SUB>0 </SUB>is the difference between the temperatures of the heated surface and the surrounding fluid.
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