Lecture - 10 Thermal Radiation - 1

nptelhrd2 minutes read

Thermal radiation, one of the three modes of heat transfer, is emitted by all surfaces in the form of electromagnetic waves with specific wavelengths, and its properties can be calculated using various laws and formulas such as Stefan Boltzmann, Planck, and Wien's laws, distinguishing between black and non-black surfaces based on their emissive power and emissivity.

Insights

  • Thermal radiation, a form of heat transfer, is emitted by all surfaces in the form of electromagnetic waves with wavelengths ranging from 0.1 to 10 microns, with visible light falling within this range.
  • Understanding emissive power and emissivity is crucial in characterizing surfaces' ability to emit and absorb radiation, with terms like black surface, gray surface, and Planck's law playing key roles in these calculations.

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Recent questions

  • What are the three modes of heat transfer?

    Conduction, convection, radiation

  • What is the Stefan Boltzmann law?

    Rate of emission proportional to temperature to the power of 4

  • What is the range of thermal radiation wavelengths?

    0.1 to 10 microns

  • What is a black surface in terms of radiation?

    Absorbs all radiation regardless of wavelength or direction

  • What is the significance of Wien's law?

    Provides wavelength of maximum emissive power

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Summary

00:00

Understanding Thermal Radiation in Heat Transfer

  • Three modes of heat transfer: conduction, convection, and radiation were introduced in lectures.
  • Focus on thermal radiation as the second mode of heat transfer.
  • Stefan Boltzmann law states that the rate of emission per unit area is proportional to the absolute temperature to the power of 4.
  • Thermal radiation is emitted by all solid and liquid surfaces at all temperatures.
  • Thermal radiation is in the form of electromagnetic waves, with wavelengths typically ranging from 0.1 to 10 microns.
  • Electromagnetic waves travel at a certain speed and are distinguished by their wavelengths.
  • Visible light falls within the thermal radiation wavelength range of 0.4 to 0.7 microns.
  • Surfaces emit thermal radiation continuously across a spectrum, with most falling in the 0.1 to 10-micron range.
  • Electromagnetic waves do not require a material medium for propagation, unlike conduction or convection.
  • Surfaces not only emit radiation but also have the capacity to absorb radiation emitted by surrounding surfaces.

20:33

Black Surfaces and Emissive Power in Engineering

  • A black surface absorbs all radiation regardless of wavelength or direction.
  • Real surfaces may approach black surfaces but are not exactly black.
  • A black surface emits the maximum energy for a given temperature and wavelength.
  • The total hemispherical emissive power is the radiant flux emitted from a body's surface.
  • Total hemispherical emissivity is the ratio of a real surface's emissive power to a black surface's emissive power at the same temperature.
  • Monochromatic hemispherical emissive power is the radiant flux emitted per unit wavelength.
  • E lambda is the quantity integrated over all wavelengths to yield the total hemispherical emissive power.
  • Monochromatic hemispherical emissivity is the ratio of a surface's monochromatic emissive power to a black surface's at the same temperature and wavelength.
  • The terms total and hemispherical are often omitted when referring to emissive power and emissivity.
  • A gray surface has a constant value of monochromatic emissivity across all wavelengths for engineering calculations.

41:01

Gray Surface Idealization in Emissive Power Calculations

  • Gray surface idealization involves taking an average value to represent a surface with constant epsilon lambda at all wavelengths.
  • A gray surface is defined as having the same value of epsilon lambda at all wavelengths, proving useful for calculations.
  • Defined terms include black surface, emissive power, emissivity, monochromatic emissive power, monochromatic emissivity, and gray surface.
  • Planck's law allows calculating the monochromatic emissive power of a black surface using the formula eb lambda = 2 pi C1 / lambda^5 * e^(C2 / lambda T - 1).
  • For non-black surfaces, the monochromatic emissive power is calculated by multiplying Planck's law by the monochromatic emissivity of the surface.
  • Graphs plotting eb lambda against wavelength lambda show an increase, peak, and asymptotic decrease in value with increasing temperature.
  • Wien's law, derived from differentiating Planck's law, provides the wavelength at which the maximum value of eb lambda occurs, expressed as lambda T = 0.00290 meter-kelvin.
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