Novel modification in wavelets method to analyze unsteady flow of nanofluid between two infinitely parallel plates

Abstract

The present article devoted to analyze the unsteady incompressible flow of nanofluid between the two infinite parallel plates. The nonlinear system of governing equations reduced to set of ordinary differential equations by means of the suitable transformations. A new modification is introduced in well-known Legendre wavelets method (LWM) to investigate the solutions of the attained set of ODEs. Analysis of square residual error shows an excellent agreement. The modified version of LWM reduces the number of unknowns which leads less computational cost but the trial solution must satisfy the given problem. Moreover, graphical description of the velocity, temperature and concentrations profiles are plotted by varying the emerging parameters. Effect of physical parameters on local skin friction and Nusselt number also presented. It is noticed that squeeze and permeable velocity parameters are providing a decreasing coefficient of skin-friction and an opposite behavior is found for Hartmann number while the Nusselt numbers found at minimum for these parameters. The thermophoretic and Prandtl number are respectively causing an enhanced and dropped concentration. The obtained outcomes are witnesses that the proposed modification is highly effective and can be extended to other nonlinear problems.