I am trying to derive a heat budget model to estimate the temprature of very small a stationary vertical cylinder (1mm) under environmental conditions. Imagine a wooden stick. Simply put, I have
R = H InSW * albedo + sigma * emissivity * Tcylinder^4 = rho_air * cp * (Tcylinder - Tair)/rH.
- R = sum of radiative components
- H = convective components (latent heat and conduction ignore)
- InSW = Incident solar radiation observed by a pyranometer
- albedo = albedo of the cylinder
- sigma = ste-boltz constant
- emissivity = emissivity of the cylinder to longwave IR
- Tcylinder = temperature cylinder
- rho_air = density of the air
- cp = heat capacity of the air
- rH = resistance to convection
This is the basis of a heat budget model, but how do I incorporate the fact that its a cylinder? I've managed to find information about how to deal with rH with the forced and natural convections, so what I'm more concerned about is the radiative components. Is it alright for me to leave them like this or do I need to start accounting for the geometry and its potential impact on the intercepted light and resistance to radiative transfer?