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air velocity as function of temp?
If a space heater is turned on in a closed room, how will it affect air movement (velocity) in the rm? And I don't mean molecular vel from kinetic theory! I'm sure the air will expand, but I need a velocity term in m/s.
1 Answer
- 1 decade agoFavorite Answer
A hot or cold vertical surface will generate a vertical air flow up or down.
The air velocity in the center of a convective flow in parallel to the hot or cold surface can be estimated with the equation:
vc = 0.65 [g l (ts - te) / (273 + te)]1/2 (1)
where
vc = velocity in center of airflow (m/s)
g = 9.81 - acceleration of gravity (m/s2)
l = vertical distance from bottom of the surface (m)
ts = temperature surface (oC)
te = temperature surrounding environment (oC)
ex: the air flow velocity at the top level of a hot (80oC) radiator (height 1 m) in a room with temperature 20oC can be calculated as
vc = 0.65 [9.81 (m/s2) 1 (m) (80 - 20)(oC) / (273 + 20(oC))]1/2
= 0.92 m/s
hope it helps :]
