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9.10 A large plate of thickness L, conductivity & and diffusivity o is initially at uniform temperature 7. At t 2 0 one surface is

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9.10 A large plate of thickness L, conductivity & and diffusivity o is initially at uniform temperature 7. At t 2 0 one surface is insulated while the other is allowed to exchange heat by convection and radiation. The heat transfer coefficient is h , emissivity e, ambient temperature 7, and surroundings temperature is 7 . Consider one- dimensional transient conduction and assume that radiation is small compared to convection. Formulate the heat equation and boundary and initial conditions using the following dimensionless variables: 0=TIT, 5=x/L, t=at/L- h, T. convection radiation Identify an appropriate perturbation parameter and set up the governing equations and boundary and initial L conditions for the zero, first and 0 second-order perturbation problems

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