Fluid Dynamics

Overview

Investigation of Newtonian and non-Newtonian fluid flow behavior using the Sumudu transform technique. This analytical approach provides exact and approximate solutions to nonlinear differential equations governing fluid motion.

Applications include boundary layer flows, viscoelastic fluid models, and heat transfer in non-Newtonian media.

• Sumudu Transform Analysis of Newtonian and Non-Newtonian Fluid Flow

  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.

  August 27, 2026