## Conduction of heat in solids |

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### Contents

GENERAL THEORY | 1 |

LINEAR FLOW OF HEAT THE INFINITE AND SEMI | 33 |

LINEAR FLOW OF HEAT IN THE SOLID BOUNDED BY | 75 |

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Appendix approximation axis Bessel functions boundary conditions Chapter coefficients conduction of heat consider constant temperature contour contour integral corresponding cosh curves differential equation discussed equation of conduction expanded finite cylinder flow of heat flux follows Fourier series given gives Green's function ibid infinite solid Initial temperature f(x integral integrand Inversion Theorem isothermal Laplace transformation Laplace transformation method linear flow London Math loss of heat mathematical medium at zero obtained odd function Phil Phys plane poles positive roots problem Proc radiation into medium radius region bounded region x semi-infinite solid sine series sinh slab solution solved sphere steady periodic steady temperature subsidiary equation suppose tempera temperature is zero term theory thermal conductivity ture unit area unit initial temperature unit instantaneous unit length values variable wire zero initial temperature zero surface temperature zero temperature