Thermal Radiation and Heat Transfer Concepts

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Questions and Answers

What is the primary cause of fluid motion in free convection?

  • Surface tension of the fluid
  • Viscosity of the fluid
  • Buoyancy forces due to density differences (correct)
  • External forces applied to the fluid

Heat transfer by radiation requires a medium for transfer.

False (B)

Besides solids, what other phases of matter participate in thermal radiation?

Liquids and gases

The heat transfer coefficient, 'h', is experimentally derived and depends on surface geometry, fluid properties, and the nature of fluid ________.

<p>motion</p> Signup and view all the answers

Match the type of heat transfer with its typical value of 'h' (heat transfer coefficient):

<p>Free convection of gases = 2–25 W/m²·K Forced convection of liquids = 50–20,000 W/m²·K Boiling and condensation processes = 2500–100,000 W/m²·K Free convection of liquids = 50–1000 W/m²·K</p> Signup and view all the answers

What is the term for an idealized surface that emits the maximum possible radiation at a given temperature?

<p>Blackbody (A)</p> Signup and view all the answers

The emissivity of a blackbody is equal to 0.

<p>False (B)</p> Signup and view all the answers

What does the Stefan-Boltzmann law describe?

<p>The maximum rate of radiation emitted from a surface.</p> Signup and view all the answers

The fraction of radiation energy incident on a surface that is absorbed by the surface is called the ______.

<p>absorptivity</p> Signup and view all the answers

Match the following materials with their corresponding emissivity values at 300 K:

<p>Aluminium foil = 0.07 Black paint = 0.98 Polished silver = 0.02 Human skin = 0.95</p> Signup and view all the answers

According to Kirchhoff's law, when the temperature and wavelength are the same, what is the relationship between a surface's emissivity and absorptivity?

<p>Emissivity and absorptivity are equal. (D)</p> Signup and view all the answers

What does the term 'absorptivity' (α) refer to in the context of radiation heat transfer?

<p>The fraction of incident radiation absorbed by a surface. (B)</p> Signup and view all the answers

The Stefan-Boltzmann constant is approximately equal to ______ W/m²·K⁴.

<p>5.67 x 10⁻⁸</p> Signup and view all the answers

Net radiation heat transfer (Q_rad) is calculated as the sum of emitted radiation (Q_emit) and absorbed radiation (Q_abs).

<p>False (B)</p> Signup and view all the answers

Blackbody radiation is the radiation emitted by a real surface.

<p>False (B)</p> Signup and view all the answers

What is the primary difference between heat transfer and work as forms of energy transfer?

<p>Heat transfer is associated with temperature differences, while work involves a force acting over a distance.</p> Signup and view all the answers

The rate of work done per unit time is termed ______.

<p>power</p> Signup and view all the answers

In the context of heat transfer from a person in a breezy room, which of the following is most relevant when calculating the total heat transfer?

<p>The person's surface area and surface temperature (D)</p> Signup and view all the answers

Convection heat transfer coefficient is measured in units of W/m·oC.

<p>False (B)</p> Signup and view all the answers

What does the thermal conductivity of a material signify in the context of heat transfer?

<p>A material's ability to conduct heat.</p> Signup and view all the answers

Match the following terms with their respective definitions in the context of energy transfer:

<p>Work = Energy transfer associated with force through a distance Power = Work done per unit time Absorptivity = Fraction of incident radiation absorbed by a surface Net radiation = The difference between emitted and absorbed radiation</p> Signup and view all the answers

Flashcards

Maximum radiation emitted

The maximum rate of radiation a surface can emit at a given absolute temperature.

Blackbody

An ideal surface that emits radiation at the maximum rate possible.

Absorptivity (a)

The fraction of incident radiation energy absorbed by a surface. It varies between 0 and 1.

Emissivity (e)

The fraction of incident radiation energy emitted by a surface. It varies between 0 and 1.

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Rate of radiation absorption

The rate at which a surface absorbs radiation, calculated by multiplying the incident radiation rate with the surface's absorptivity.

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Kirchhoff's law

States that the emissivity and absorptivity of a surface are equal at the same temperature and wavelength.

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Blackbody radiation

Radiation emitted by a blackbody, which is the maximum possible radiation at a given temperature.

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Radiation from real surfaces

The radiation emitted from real surfaces is defined by the Stefan-Boltzmann Law, but multiplied by the emissivity of the surface.

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Free Convection

Fluid movement driven by density changes due to unequal temperatures.

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Conduction

Heat transfer through direct contact, with hotter molecules transferring energy to cooler ones.

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Convection

Heat transfer through the movement of fluids, like air or water, carrying heat with them.

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Radiation

Heat transfer through electromagnetic waves, capable of traveling through space without needing a medium.

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Work

The energy transfer associated with a force acting through a distance.

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Power

The rate at which work is done.

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Heat transfer rate

A measure of how much heat energy is transferred per unit time.

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Thermal conductivity

The material property that quantifies its resistance to heat flow.

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Thermal resistance

The property that relates the temperature difference to the heat flow rate.

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Study Notes

Fundamentals of Thermodynamics GET 227, Lecture 7

  • Course is instructed by Dr. Petrus Nzerem, Engr. Abdulmojeed Oluogun, and Engr. Seun Jesuloluwa
  • Focuses on energy transfer by heat, convection, conduction, and radiation

Energy Transfer by Heat

  • Conduction: Heat transfer through solids, liquids, or gases.

    • The rate of heat conduction (Qcond) through a layer of constant thickness is given by Qcond = k1A(ΔT)/Δx, where:
      • k1 is the thermal conductivity of the material
      • A is the area normal to the heat transfer direction
      • ΔT is the temperature difference
      • Δx is the thickness of the layer
  • High k1 values indicate good heat (and electrical) conductors, while low k1 values indicate poor conductors. Specific examples of materials and their thermal conductivities are listed in Table 8.1

  • Convection: Heat transfer by the movement of fluids (liquids, gases).

    • Convection heat transfer rate (Qconv) is given by Qconv = hA(Ts - Tf), where:
      • h is the convection heat transfer coefficient
      • A is the surface area through which heat transfer takes place
      • Ts is the surface temperature
      • Tf is the bulk fluid temperature
    • Convection can be forced or natural (free) depending on the method of fluid movement
    • Typical values of h are in Table 9.1
  • Radiation: Heat transfer through electromagnetic waves.

    • Thermal radiation occurs due to temperature difference
    • Does not require a medium for transfer
    • The maximum rate of radiation emitted from a surface (Qemit,max) is given by Qemit,max = εσAT4, where:
      • ε is the emissivity of the surface
      • σ is the Stefan-Boltzmann constant (5.67 × 10-8 W/m2·K4)
      • A is the surface area
      • T is the absolute temperature
  • Table 9.2 provides emissivity values for specific materials

Energy Transfer by Work

  • Work: Energy transfer associated with a force acting through a distance

    • Can be defined with respect to the states 1 and 2 using the equation W = Fds
    • There are two requirements for work to be done:
      • Force must act on the boundary
      • The boundary must move
  • Shaft Work (Wsh): Work done through a shaft connected/rotating shaft. The amount of work is proportional to the torque applied (T) and the number of revolutions (n). Equation is Wsh = 2πnτ

  • Electrical Work (We) & Electrical Power (We):

    • We = VI -- Work is dependent on voltage and electric charge
    • We = I2R -- work, considering the resistance
    • We =VI -- electrical power or Work per time.

Other Important Concepts

  • Point Functions: Have exact differentials
  • Path Functions: Do not have exact differentials.
  • Sign Conventions for Heat and Work
  • Examples related to heat transfer in various scenarios (e.g., a person in a breezy room, heat transfer through a wall, etc.) and problems related to calculation of work, power and other related values are provided in the Lecture

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