Stosowanie prawa Stefana-Boltzmanna do obliczeń temperatury i mocy w świecie rzeczywistym
Te Stefan- Boltzmann Law opisuje te relacje między nimi, temperature of a blackbody and thee count of energy it radiates. It i s widely use it in physics andd exterering to o estimate thee power radiated by objects based on their temperatur. This articlie explains how to te famy thew for real- terd temperatur te and power callations.
Zrozumiałe, że Stefan- Boltzmann Law
Te law states that thee total power radiated per unit area of a blackbody is contribul te fourth power of it temperatur. The formula is:
(zob. pkt 2.1.1.1 niniejszego załącznika)
(1);
These Law to Real- Worlds Scenarios
Tu kalkulator ten total power radiated by a n object, multiply the power per unit area by te object 's surface area:
(1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (2); (3); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (5); (3); (3); (3); (4); (1); (4); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (5); (5); (3; (3); (1) (1) (1) (5) (4) (4) (4) (4) (4) (4) (5) (5) (5) (5) (5) (5) (5) (5) (5) (5) (
where eng1; Xi1; FLT: 0; Xi3; A eng1; Xi1; FLT: 1; Xi3; is thee surface area in square meters. This calculation assumes the object behaves like a perfect blacbody, which is an idealization. Rel objects have an emissivity factor (1; THIF 1; FLT: 2; X3; ε XIF 1; FLT: 3; XIG 3;) less than 1, which recruks thee calcation:
(1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1): (2); (1): (1): (1): (1); (1): (1); (1): (1); (1); (1): (1); (1): (1); (1): (1); (1): (1); (1): (5); (3) (3); (3); (3); (4); (1); (1); (1); (1) (1); (1); (1) (1) (1); (5); (5) (5) (3); (3) (5) (3) (5) (4) (4) (4) (4) (4) (4) (4) (4) (4) (4) (4) (4) (4) (4) (4) (
Badanie Calculation
Suppose a metal plate with an area of 2 m present 1; Xi1; FLT: 0 presenta3; Xi3; 2 presenta1; Xi1; FLT: 1 presenta3; Xi3; is at a temperatur of 600 K and has an emissivity of 0.8. The total radiated power is calculated as:
- Emissivity, Xi1; Xi1; FLT: 0 Xi3; Xi3; ε = 0,8 Xi1; Xi1; FLT: 1 Xi3; Xi3;
- Temperature, Xi1; Xi1; FLT: 0 Xi3; Xi3; T = 600 K Xi1; Xi1; FLT: 1 Xi3; Xi3; Xi3;
- Area, Xi1; Xi1; FLT: 0 Xi3; Xi3; A = 2 m Xi1; Xi1; FLT: 1 Xi3; Xi3; 2 Xi1; FLT: 2 Xi3; Xi1; Xi1; FLT: 3 XI3; Xi3; Xi3; FI3;
Appliing the formula:
(1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1): (2); (3): (3): (5); (3); (3): (3); (3); (3); (8); (1); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3); (3; (3); (3; (3); (3); (2).
Kalkulating:
600 (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1) (1); (1); (1); (1); (1); (1);
P = 1; Xi1; FLT: 0 = 3; Xi3; Xi3; FLT: 1 = 3; Xi3; Xi3; Xi3; Xi0 × 5.67 × 10 Xi1; Xi1; FLT: 2 = 3; Xi3; Xi1; -8 = 1; Xi1; Xi1; FLT: 3 = 3; Xi3; Xi3; × 1.296 × 10; Xi1; FLT: 4 = 3; XI1; XI1; FLT: 5 = 3; × 2 = XIX1177 W