Heat Transfer and The Human Head Brad Elmer John Pearson Introduction Problem Find the effects of wearing a beanie on a bald head Varying wind speeds in cold weather Assumptions
Average Head Circumference 58cm ( www.thehatesite.com) Radiation neglected (same for all cases) Flesh Properties Same as Water Constant Core Temperature Transition region where hat ends very small Setup Conditions
Test 1 Bald, no wind w/Beanie, no wind Test 2
Air at 20 F Core at 97.8 F Bald, 20 mph wind w/Beanie, 20 mph wind Test 3 Bald, category 5 hurricane 156mph wind w/Beanie, category 5 hurricane 156mph wind Solution Test 1
Free convection Gr >>Re2 Test 2 Forced convection Some error expected Re > 7.6e4
Test 3 Forced convection Some error expected Re > 7.6e4 Results Head Surface Temperatures Test 1 0 mph Test 2 20 mph
Test 3 156 mph Bald 91.5 F 65.9 F 43.2 F With Beanie 93.2 F 86.8 F 84.9 F
Recommendations Wear a beanie especially when there are category five hurricane winds and its 20F outside Do not shave your head bald in a cold climate Appendix Formulas used Free convection
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