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## Bald Head Convective Calculator

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**Bald Head Convective Calculator**Jess Rose Jeff Amelang Winter 2009**Calculator Functionality**Goal: Create a calculator that estimates skin temperature of a bald head under three different convective conditions: • Free convection • Forced convection (windy) • Forced convection with a beanie**Basic Assumptions**• Head is modeled as a sphere of constant temperature with a layer of tissue • Steady state • One Dimensional Radial Conduction • Constant Properties • Neglect Radiation • Properties calculated using the source code of the thermal properties calculator tissue T_c = 98°F T = 0.25 in T_inf D = 7 in**Free Convection**Convective coefficient is calculated using Free convection on a sphere Total thermal circuit Partial thermal circuit**Forced Convection (windy)**Convective coefficient is calculated using Forced convection on a sphere Total thermal circuit Partial thermal circuit Includes Free Convection if .1 < abs(Gr/Re^2 ) < 10**Forced Convection with Beanie**Convective coefficient is calculated using Forced convection on a sphere Y Total thermal circuit Partial thermal circuit Assumptions: • Two parallel thermal circuits • Infinite Contact Resistance between hemispheres**Improvements**• Approximate head with volumetric head generation instead of a constant temperature • Eliminate assumption of infinite contact resistance between hemispheres with beanie • Include radiation**Conclusions**• When there is convective heating of Charlie Brown’s head, the beanie keeps the skin surface temperature lower, oddly enough. • Changing the conductive coefficient of the tissue has a significant effect on the temperature of the skin.