Computational investigation of an unsteady non-Newtonian and non-isothermal fluid between coaxial contracting channels: A PCM approach

Abstract

The essential element of this paper is to research the porous and squeezed characteristics of time varying heats that modify the flow speed and enhance the refrigerating/boiling performance of the materials, optimize the tracers flows and minimalized instability in the non-Newtonian fluids. In the presence of no-slip velocity and convective circumstances, squeezing disks tempting laminar, unsteady and incompressible non-Newtonian fluid. The convective formulation for the equations of Navier Stokes, energy and concentration are modeled on flat disks to investigate and execute both analytical and numerical analysis of heat flow and mass transfer, which transmuted further into extremely non-linear system of ordinary differential equation with the help of similarity transformations. Regarding smears, self-similar equations with adequate starting estimates and supporting parameters are resolved by utilizing the Homotopy Analysis Method (HAM) to generate an expedited and guaranteed convergence procedure. Comparisons between HAM and the BVP4c numerical solver program demonstrate the validity and precision of HAM results. It is found by increasing or decreasing the Hartman number reduces the capillary area, making the Lorentz force influence quite visible for small non-Newtonian parameter. The concentration rate at the lower end disk rises rapidly as the thermal diffusivity rises. The radial velocity also declines because of the rise in the outflow rate from the flow domains. The suction parameter also declines. Additionally, increasing the parameter of non-Newtonian enhances the flow of temperature/mass and skin friction. In the suction/injection case, all physical factors have a reverse influence upon fluid flow patterns.

Keywords

• Squeeze flow
• Contracting channels
• Second-grade viscoelastic fluid
• Lorentz force
• HAM
• BVP4c