International Journal of Mathematical Education in Science and Technology · 1970 · 46 citations · 4 references
EngineeringMaterials EngineeringPhysicsHeat TransferThermodynamicsTransport PhenomenaFourier Series MethodsHeat Transfer AnalysisHeat Transfer FundamentalsHeat Transfer In FluidsHeat Transfer ModelingNumerical Methods For Differential EquationsCoupled Reaction-diffusion EquationsFourier Series AnalysisHeat Conduction EquationHeat Diffusion EquationHeat EquationHeat Equation ModelsNonlinear Diffusion EquationsReaction-diffusion Equations
Summary Classical solutions of the heat‐flow and diffusion equations expressed in terms of Fourier series and error functions are outlined. Numerical methods essential for solving non‐linear problems are discussed. Three practical applications of the mathematical solutions are described: they are the kiln‐drying of fish, the measurement of diffusion rates in polymers and the burning of wood.
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