Solutions of Modified Equation of Motion for Laminar Flow across (within) Rigid (Liquid) Sphere and Cylinder and Resolution of Stokes Paradox: Scientific Explanation

Abstract

The scale-invariant forms of conservation equations are employed to describe solutions of modified form of equation of motion for the problems of laminar viscous flow across (within) rigid (liquid) sphere and cylinder. Analytical solutions of modified equation of motion in all three regions for both spherical and cylindrical geometry are presented. New solutions for laminar viscous flow across rigid sphere and cylinder are presented with the latter resolving the Stokes paradox for flow across cylinder.