1948
DOI: 10.1063/1.3066187
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Conduction of Heat in Solids and Heat Conduction

Abstract: In a recent R&D note by Huang et al. (1984), an analytical solution for a packed bed reactor with a first-order reaction is derived. The solution is obtained by the Laplace-transform method and by inversion in the complex plane. Since the transform contains branch points a , so called second Bromwich contour (McLachlan, 1953) is used to obtain the solution in the time domain.Some criticism is also made of an earlier analytical solution of the same problem (but without chemical reaction) given by Rasniuson and… Show more

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Cited by 5,678 publications
(8,720 citation statements)
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“…(1) results in the dimensionless center temperature or moisture content (θ) for an infinite cylindrical product in the following form (Carslaw and Jaeger 1980;Gebhart 1993;Yildiz et al 2007): …”
Section: Modelmentioning
confidence: 99%
“…(1) results in the dimensionless center temperature or moisture content (θ) for an infinite cylindrical product in the following form (Carslaw and Jaeger 1980;Gebhart 1993;Yildiz et al 2007): …”
Section: Modelmentioning
confidence: 99%
“…Laplace transform is an integral transformation used to resolve ordinary and partial differential equations [25,30,31,48,49]. Laplace transform is defined by:…”
Section: Laplace Transformmentioning
confidence: 99%
“…(2)), and with the initial condition C(r,0)=0. The solution to this problem is stated in Carslaw and Jaeger [34] at the end of Chapter 13.4. (4) where α n are the roots to the equation (5) J 0 , J 1 , Y 0 , and Y 1 are zero and first order Bessel functions of the first and second kind.…”
Section: Fusion Pores and Synaptic Transmissionmentioning
confidence: 99%