Analytical Solution of Periodic Laminar Forced Convection via Confluent Hypergeometric Function

2013 ◽  
Vol 27 (4) ◽  
pp. 648-652 ◽  
Author(s):  
M. R. Astaraki ◽  
N. Ghiasi Tabari ◽  
A. Rudhelepur
Keyword(s):  
Analytical Solution ◽  
Hypergeometric Function ◽  
Forced Convection ◽  
Confluent Hypergeometric Function ◽  
Laminar Forced Convection

STUDY OF LAMINAR FORCED CONVECTION FOR DIFFERENT CONCENTRATIONS OF THE WATER-LITHIUM BROMIDE MIXTURE

2018 ◽  
Author(s):  
Allan Giuseppe ◽  
dhiego veloso ◽  
Carlos Antonio Cabral Santos ◽  
Pedro Gonçalves ◽  
Fábio Lima
Keyword(s):  
Forced Convection ◽  
Lithium Bromide ◽  
Laminar Forced Convection

scholarly journals The Bateman Functions Revisited after 90 Years—A Survey of Old and New Results

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1273
Author(s):  
Alexander Apelblat ◽  
Armando Consiglio ◽  
Francesco Mainardi
Keyword(s):  
Hypergeometric Function ◽  
Laplace Transforms ◽  
Confluent Hypergeometric Function ◽  
Integral Function ◽  
Basic Properties ◽  
Differential Relations

The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two decades they were practically neglected. In handbooks, the Bateman function is only mentioned as a particular case of the confluent hypergeometric function. In order to revive our knowledge on these functions, their basic properties (recurrence functional and differential relations, series, integrals and the Laplace transforms) are presented. Some new results are also included. Special attention is directed to the Bateman and Havelock functions with integer orders, to generalizations of these functions and to the Bateman-integral function known in the literature.

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