72
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

THE EXPANSION POINT METHOD FOR IMPROVED CALCULATION OF DIFFICULT TRANSPORT INTEGRALS

&
Pages 1457-1482 | Published online: 19 Jun 2013

References

  • Abramowitz , M. , and Stegun , I. A. (eds.) ( 1972 ). Handbook of Mathematical Functions , Dover Publications , New York .
  • Bender , C. M. , and Orszag , S. ( 1978 ). Advanced Mathematical Methods for Scientists and Engineers , McGraw-Hill , New York .
  • Bird , R. B. , Stewart , W. E. , and Lightfoot , E. N. ( 2007 ). Transport Phenomena, , 2nd ed. , Wiley , New York .
  • Boyd , J. P. ( 1999 ). The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series , Acta Appl. Math. , 56 , 1 – 98 .
  • Dingle , R. B. ( 1973 ). Asymptotic Expansions: Their Derivation and Interpretation , Academic Press , New York .
  • Franklin , J. , and Friedman , B. ( 1957 ). A convergent asymptotic representation for integrals , Proc. Camb. Philos. Soc. , 53 , 612 – 619 .
  • Gil , A. , Segura , J. , and Temme , N. M. ( 2007 ). Numerical Methods for Special Functions , SIAM , Philadelphia , Penn .
  • Goodwin , E. T. , and Staton , J. ( 1948 ). Table of , Q. J. Mech. Appl. Math. , 1 , 319 – 326 .
  • Hanna , O. T. , and Davis , R. A. ( 2011 ). An optimal exponential method for improved calculation of Laplace integrals and power series , Chem. Eng. Commun. , 198 ( 12 ), 1603 – 1629 .
  • Hanna , O. T. , and Sandall , O. C. ( 1972 ). Developed turbulent transport in ducts for large Prandtl or Schmidt numbers , AIChE J. , 18 , 527 – 533 .
  • Hanna , O. T. , and Sandall , O. C. ( 1995 ). Computational Methods in Chemical Engineering , Prentice-Hall , Upper Saddle River, N.J .
  • Hanna , O. T. , Sandall , O. C. , and Wilson , C. L. ( 1987 ). Mass transfer accompanied by first-order chemical reaction for turbulent duct flow , Ind. Eng. Chem. Res. , 26 , 2286 – 2290 .
  • Jones , D. S. ( 1997 ). Introduction to Asymptotics , World Scientific Publishing , Singapore .
  • Murray , J. D. ( 1974 ). Asymptotic Analysis , Clarendon Press , Oxford .
  • Olver , F. W. J. ( 1974 ). Asymptotics and Special Functions , Academic Press , New York .
  • Sandall , O. C. , Hanna , O. T. , and Mazet , P. R. ( 1980 ). A new theoretical formula for turbulent heat and mass transfer with gases or liquids in tube flow , Can. J. Chem. Eng. , 58 , 443 – 447 .
  • Spiegel , M. R. ( 1968 ). Mathematical Handbook of Formulas and Tables , McGraw-Hill , New York .
  • Wagner , H. J. ( 1977 ). An algorithm for asymptotic approximation of Laplace integrals , Computing , 18 , 51 – 58 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.