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Fluid dynamics of parallel plates Viscometer: A case study of methods of series summation
Abstract
The fluid dynamics of parallel plates viscometer is investigated mathematically using both the Navier-Stokes and continuity equations for an incompressible viscous fluid. The problem admits similarity
solutions, thereby reducing the unsteady Navier-Stokes equations to a parameter dependent fourth order nonlinear ordinary differential equation. Analytical
solutions are constructed for the problem using perturbation technique together with a special type of Hermite-Padé approximants.
Mathematics Subject Classification (2000): 76E25.
Key words: Squeezing flow, perturbation theory, Hermoite-Padé approximants.
Quaestiones Mathematicae 26(2003), 405–417
solutions, thereby reducing the unsteady Navier-Stokes equations to a parameter dependent fourth order nonlinear ordinary differential equation. Analytical
solutions are constructed for the problem using perturbation technique together with a special type of Hermite-Padé approximants.
Mathematics Subject Classification (2000): 76E25.
Key words: Squeezing flow, perturbation theory, Hermoite-Padé approximants.
Quaestiones Mathematicae 26(2003), 405–417
