areas and things to memorize

surface area for a sphere in radius

A=$4\pi r^2$

surface area for a sphere in diameter

SA =$\pi d^2$

volume for a sphere in diameter

V = $\frac16\pi d^3$

Volume of a sphere in radius

V = $\frac{4}{3} \pi r^{3}$

Surface area of a cylinder for airflow in radius

A = $2 \pi r L$

Surface area of a cylinder for airflow in diameter

A = $\pi D L$

Reynolds Number

Re = $\frac{\rho v L}{\mu}$

Reynolds number with kinematic viscosity

$$\operatorname{Re}=\frac{Vl}{\nu}$$

what does $\omega$ mean in thermo 2

Humidity ratio

what dose $\phi$ mean in thermo 2

relative humidity ratio

how do you find your dew point temperature

on psychometric chart from original point go to 100% humidity (horizontal line) then straight down

how do you calculate $h_3$

$$\frac{m_1\cdot h_1+m_2+h_2}{m_1+m_2}$$

how do you calculate $h_3$ with $\frac{m_1}{m_2}=r$

$$h_3=\frac{rh_1+h_2}{r+1}$$

how do you get m from $\forall$

$$m=\frac{\forall}{\nu}$$