So I am searching and trying to combine my own formulas but figured I would offer this scenario out there for someone who is much smarter than myself.
I have the following inputs:
- 1350 Watt heater coil
- Fan that can deliver 300 CFM
- Ambient temperature = 72 degrees F
- Dimensions of cylinder (so volume and surface area)
I have the following setup starting from bottom to top:
- Fan
- Heater Coil
- glass cylinder
- Open at the top
The fan, heater coil, and class cylinder are all enclosed except for the top of the cylinder.
I am trying to create a formula that will tell me the temperature at a given distance from the heater coil, inside the tube. As I go further away of course the temperature gradient goes down. The main factor is of course Convection. Conduction is not as much of a factor. Radiation is somewhat of a factor but not as great as convection.
What I have tried and know
I have used the convection equation:
Q = hA(Ta-Tb)}
so Q roughly = 1350 watts
h = ?
A = known
Ta = 70 deg F
Tb = Desired output
I imagine h has to take into account air velocity somehow.. and also how do I take into account distance away from the fan and heater coil? Should this be included in h?