Abstract
The Sumudu transform technique is applied to obtain analytical solutions for Newtonian and non-Newtonian fluid flow problems. The method provides exact solutions to the governing nonlinear differential equations and reveals the dependence of flow characteristics on key dimensionless parameters.
Key Results
Closed-form solutions for velocity profiles and shear stress distributions are derived for several canonical flow geometries. The results demonstrate the effectiveness of the Sumudu transform as a powerful tool for solving nonlinear problems in fluid mechanics without linearization or perturbation.
$$ S[f(t)] = F(u) = \int_0^\infty f(ut) , e^{-t} , dt $$