chap81 - CHAPTER 8: Thermal Analysis Thermal Analysis:...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
1 CHAPTER 8: Thermal Analysis ± Thermal Analysis: calculation of temperatures in a solid body. ± Magnitude and direction of heat flow can also be calculated from temperature gradients in the body. ± Modes of heat transfer: ² by conduction within a body ² by convection and radiation to/from a body ± There may be internal heat generation due to electric current, chemical reaction, dielectric heating, etc. ± Temperatures may be prescribed on a boundary or in the interior.
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 Modes of Heat Transfer and Boundary Conditions
Background image of page 2
3 Finite Element Form for Steady State Problem ± A domain can be discretized for thermal analysis, i.e., a FE mesh can be created. ± The steady-state heat-transfer discretized equation is written: K T T = Q where T : vector of nodal temperatures Q : vector of thermal loads due to internal heat generation, convection and radiation to/from the body K T : matrix depending on conductivity of the material and convection and radiation
Background image of page 3

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

View Full DocumentRight Arrow Icon
4 Nonlinearity ± Material properties such as conductivity depend on temperature. K T = K T ( T ) in general Nonlinear problem!! ± Radiative heat transfer is inherently nonlinear. ± Note the similarity of K T T = Q to the equilibrium equation KD = R in stress analysis. Same element types, same FE mesh can be used for both stress and thermal analysis. Genesis uses same names. ± Internal heat source: analogous to body force in stress analysis. ± Prescribed temperatures: analogous to prescribed displacements
Background image of page 4
5 Heat Flow Equations: Isotropic Material ± Fourier law of heat conduction for an isotropic material:
Background image of page 5

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

View Full DocumentRight Arrow Icon
6 Heat Flow Equations: Anisotropic Material ± Heat conduction for an anisotropic material: where κ is a matrix of thermal conductivities.
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 18

chap81 - CHAPTER 8: Thermal Analysis Thermal Analysis:...

This preview shows document pages 1 - 7. Sign up to view the full document.

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