BF1-Ch03

BF1-Ch03 - CHAPTER THREE STEADY-STATE ONE DIMENSIONAL HEAT...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
CHAPTER THREE STEADY-STATE ONE DIMENSIONAL HEAT CONDUCTION Methodology • Specify appropriate form of the heat equation. • Solve for the temperature distribution. • Apply Fourier’s law to determine the heat flux. Simplest Case: One-Dimensional, Steady-State Conduction with no thermal energy generation. • Common Geometries: – The Plane Wall: Described in rectangular ( x ) coordinate. Area perpendicular to direction of heat transfer is constant (independent of x ). – The Tube Wall: Radial conduction through tube wall. – The Spherical Shell: Radial conduction through shell wall.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
One-Dimensional, Steady-State Conduction No heat generation. The Plane Wall Recall: Steady-state condition with no distributed source or sink of energy: ( ) p T T k q c x x t ρ + = &
Background image of page 2
If k is a constant, then the above equation reduces to Example: Steady-state heat conduction in the slab (with no heat generation) is modeled by Eqn (1) Integrating Eqn (1) twice: ( ) 0
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 35

BF1-Ch03 - CHAPTER THREE STEADY-STATE ONE DIMENSIONAL HEAT...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online