Open AccessPorous medium on unsteady Helical flows of Generalized Oldroyd-B with two infinite coaxial circular cylinders
Author(s) -
Alaa Waleed
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/10.24996/ijs.2021.62.5.31
Subject(s) - coaxial , laplace transform , fractional calculus , mathematical analysis , porous medium , mathematics , relaxation (psychology) , field (mathematics) , mechanics , physics , geometry , porosity , materials science , pure mathematics , engineering , psychology , social psychology , electrical engineering , composite material
This article deals with the influence of porous media on Helical flows of Generalized Oldroyd-B between two infinite coaxial circular cylinders .The fractional derivative are modeled for this problem and studied by using finite Hankel and Laplace transforms .The velocity fields founded by using the fundamentals of the series form in terms of Mittag-leffler equation . The research focused on the parameters like (permeability parameter z ,fractional parameters(𛼠, ð›½) , relaxation ðœ†1 , retardation ðœ†2 , kinematic viscosity v , magnetic parameter M and time t) which effected on the velocity field u and w. MATHEMATICA package used to study and analyze the above variables by drawing many graphs .