Important formulas of transmission of heat chapter
Question
Important formulas of transmission of heat chapter
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Solution
Sure! Here are some important formulas related to the transmission of heat:
-
Conduction:
- Fourier's Law of Heat Conduction: q = -kA(dT/dx)
- q: heat transfer rate
- k: thermal conductivity of the material
- A: cross-sectional area through which heat is transferred
- dT/dx: temperature gradient across the material
- Fourier's Law of Heat Conduction: q = -kA(dT/dx)
-
Convection:
- Newton's Law of Cooling: q = hA(Ts - T∞)
- q: heat transfer rate
- h: convective heat transfer coefficient
- A: surface area through which heat is transferred
- Ts: surface temperature
- T∞: surrounding fluid temperature
- Newton's Law of Cooling: q = hA(Ts - T∞)
-
Radiation:
- Stefan-Boltzmann Law: q = εσA(T^4 - T∞^4)
- q: heat transfer rate
- ε: emissivity of the surface
- σ: Stefan-Boltzmann constant
- A: surface area through which heat is transferred
- T: absolute temperature of the surface
- T∞: absolute temperature of the surroundings
- Stefan-Boltzmann Law: q = εσA(T^4 - T∞^4)
These formulas are commonly used in the study of heat transfer and can help calculate heat transfer rates and temperatures in various scenarios.
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