When applying Kirchhoff's transformation to heat conduction PDE with temperature dependent thermophysical properties (k,ρ , Cp) , one obtains a transformed energy variable(adsbygoogle = window.adsbygoogle || []).push({});

u=∫Cp(τ) dτ and a term for a thermal diffusivity (α=k/ρ*Cp), thus reducing the nonlinerarity of the equation. When consulting some texts about the method, I find that there is discrepancy around the thermal diffusivity term. Some authors define the diffusivity as a function of the original temperature varable (τ); while others declare that the diffusivity is now cast in terms of the transformed variable (u) . Which declaration is correct? I gather that being an intrinsic material property the thermal diffusivity function should not be altered by the transformation, and thus should remain dependent on the original temperature (τ) variable. Is this so?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Kirchhoff Transform

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Kirchhoff Transform | Date |
---|---|

I Ode using Fourier Transform | Jan 2, 2018 |

A Fourier Transform for 3rd kind of boundary conditions? | Nov 18, 2017 |

B What Integral Transform is this? | Mar 23, 2017 |

I Verifying Kirchhoff formula | Jun 21, 2016 |

**Physics Forums - The Fusion of Science and Community**