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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)

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Heat transfer and the human head

Heat Transfer and The Human Head

Brad Elmer

John Pearson


Introduction
Introduction

  • Problem

    • Find the effects of wearing a beanie on a bald head

    • Varying wind speeds in cold weather


Assumptions
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
Setup

  • Conditions

    • Air at 20° F

    • Core at 97.8° F

  • Test 1

    • Bald, no wind

    • w/Beanie, no wind

  • Test 2

    • 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
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
Results

Head Surface Temperatures


Recommendations
Recommendations

  • Wear a beanie especially when there are category five hurricane winds and it’s

    20°F outside

  • Do not shave your head bald in a cold climate


Appendix
Appendix

  • Formulas used

    • Free convection

      • 9.12

      • 9.25

      • 9.35

    • Forced convection

      • 7.56