Abstract
THE solution to a problem (Wood, T., unpublished work) arising from an analysis of a closed circuit consisting of a stirred-tank reactor and a tubular reactor in series, with first-order, isothermal, irreversible kinetics, involves finding the inverse of the Laplace transform : where β1, β2, β3 are known, positive, constants. The transform can be re-arranged: Since no tabulated transform could be found, the denominator was expanded as a power series, giving : The inverse of the transform is now readily shown to be1: where H(t−nβ3) = 0 when t ≤ nβ3; H(t−nβ3) = 1 where t > nβ3
Similar content being viewed by others
Article PDF
References
Carslaw, H. S., and Jaeger, J. C., Operational Methods in Applied Mathematics (Oxford Univ. Press, 1953).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
WOOD, T. Inversion of a Laplace Transform arising from a Problem in Applied Chemical Kinetics. Nature 191, 589 (1961). https://doi.org/10.1038/191589a0
Issue Date:
DOI: https://doi.org/10.1038/191589a0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.