Numerical computing paradigms for the dynamics of squeezing rheology of third grade fluid

Abstract

In the current study, investigation for the time-dependent flow of third grade fluid between two disks is presented by exploiting the competency of numerical solvers based on Adams and implicit backward difference methods. The applicable mathematical equations are derived and simplified using boundary-layer approach. Transformations are invoked for conversion of PDE to ODE. Numerical treatment is done with Adams and backward difference scheme. The graphical and numerical illustrations are incorporated to present the effect of physical quantities in fluidic system involving squeezing disks. The level of accuracy is achieved with the help of absolute error graph between Adams and Backward difference scheme for each variants of the system model. Validation of the performance on the basis of convergence analysis also presented.