Analysis of Viscous Incompressible Fluids

The book explores the dynamics of dusty fluid flow, focusing on both steady and unsteady laminar conditions within a rectangular channel. It presents a comprehensive analysis, beginning with fundamental equations and progressing through six detailed chapters. The second chapter employs differential geometry to model unsteady viscous flow with dust particles, utilizing Laplace transforms for exact solutions. Subsequent chapters delve into analytical descriptions of flow and magnetohydrodynamic (MHD) flow through porous media, applying Navier-Stokes equations and Darcy's law under varying pressure gradients.