Lesson 12 CONDUCTION HEAT TRANSFER

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Presentation transcript:

Lesson 12 CONDUCTION HEAT TRANSFER Given Fourier’s Law of Conduction, CALCULATE the conduction heat flux in a rectangular coordinate system Given the formula and the necessary values, CALCULATE the equivalent thermal resistance. Given Fourier’s Law of Conduction, CALCULATE the conduction heat flux in a cylindrical coordinate system.

Conduction The transfer of heat by the interaction between adjacent molecules of a material. Is dependent upon the driving "force" of temperature difference and the resistance to heat transfer. The resistance to heat transfer is dependent upon the nature and dimensions of the heat transfer medium. Object being studied normally is a solid The most common means of correlation is through Fourier’s Law of Conduction.

Fourier’s Law of Conduction

Conduction Through a Slab

Equivalent Resistance Method The Fourier equation can be written in a form similar to Ohm’s Law of Electrical Circuit Theory Heat transfer rate is analogous to electrical current flow The combination of thermal conductivity, thickness of material, and area are analogous to resistance to this flow. The temperature difference is the potential or driving function for the heat flow Thermal resistance (Δx/k) is the reciprocal of the thermal conductivity divided by the thickness of the material

Heat Flux

Equivalent Resistance

Cross-sectional Surface Area of a Cylindrical Pipe

Conduction-Cylindrical Coordinates

Composite Cylindrical Layers

Pipe Insulation