8. Heat and Mass Transfer free notes for Diploma / BTech.

3.1. Conduction

Conduction is the transfer of heat within a solid or between bodies in direct contact, without any bulk motion of the material.

  • Energy transfer occurs due to molecular vibration and electron movement.
  • Common in solids, especially metals.

Governing Law:

Fourier’s Lawq=kAdTdxq = -kA \frac{dT}{dx}

  • qq = heat transfer rate
  • kk = thermal conductivity
  • AA = area
  • dT/dxdT/dx= temperature gradient

Examples:

  • Heat flow through a metal rod
  • Heating of a spoon placed in hot tea

3.2. Convection

Definition:
Convection is heat transfer between a surface and a moving fluid due to combined effects of fluid motion and conduction at the surface.

🔹 Types:

  • Natural (Free) Convection: Fluid motion due to buoyancy forces (density differences)
  • Forced Convection: Fluid motion due to external devices like fans or pumps

🔹 Governing Relation:

q=hA(TsT)q = hA(T_s – T_\infty)q=hA(Ts​−T∞​)

Where:

  • hhh = heat transfer coefficient
  • TsT_sTs​ = surface temperature
  • TT_\inftyT∞​ = fluid temperature

🔹 Examples:

  • Cooling of a hot cup of coffee in air
  • Water cooling in a radiator
  • Air conditioning systems

3.3. Radiation

Definition:
Radiation is heat transfer in the form of electromagnetic waves without requiring any medium.

Mechanism:

  • Energy emitted due to temperature of a body
  • Can travel through vacuum

Governing Law:

Stefan–Boltzmann Lawq=σϵAT4q = \sigma \epsilon A T^4

  • σ\sigmaσ = Stefan–Boltzmann constant
  • ϵ\epsilonϵ = emissivity
  • TTT = absolute temperature

Examples:

  • Heat from the Sun reaching Earth
  • Heat from a fire felt at a distance
  • Thermal imaging systems

You can further study for Heat Transfer

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