A Family of Nonlinear Problems in Particle Suspension Mechanics with Some Special Characteristics

K Madhukar; T R Ramamohan

doi:https://doi.org/10.14445/22315373/IJMTT-V52P550

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 5 | Year 2017 | Article Id. IJMTT-V52P550 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P550

A Family of Nonlinear Problems in Particle Suspension Mechanics with Some Special Characteristics

K Madhukar, T R Ramamohan

Citation :

K Madhukar, T R Ramamohan, "A Family of Nonlinear Problems in Particle Suspension Mechanics with Some Special Characteristics," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 5, pp. 345-358, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P550

Abstract

In this paper we present a novel class of nonlinear problems arising in low Reynolds number hydrodynamics, in which the analytical solution of the linearized equation yields an approximation to the numerical solution of the full nonlinear equation, when it is scaled and reduced suitably using the standard deviation and the mean of the numerical solution. The main interest in discussing these problems is that the analytical solution itself is sufficient to generate the numerical solution, when suitably scaled and reduced. Hence this system may be used as a test for software developed to solve complex integro – differential equations.

Keywords

Periodic force, mean, standard deviation, Reynolds number.

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