Abstract
An analytical solution for the temperature field in an infinite solid medium around a cylindrical surface subject to a time dependent heat flux proposed by Zanchini and Pulvirenti (2013) has been revisited. The well-known Laplace transform technique is applied to solve the time-dependent governing equation exactly in Laplace domain, while the method of Riemann-sum approximation approach is employed to invert the Laplace domain to the time domain in order to obtain the dimensionless temperature. For the case of sinusoidally varying heat flux, numerical values of the dimensionless temperature of the surface are obtained and compared with the benchmark values reported by Zanchini and Pulvirenti (2013), and an excellent agreement is found. An advantage of the proposed method could be a reduction in computation effort.
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