Numerical Solution of Stagnation Point Flow and Heat  Transfer over a Nonlinear Stretching/Shrinking Sheet in  Hybrid Nanofluid: Stability Analysis

Nur Syazana Anuar; Norfifah Bachok; Norihan Md Arifin; Haliza Rosali

Authors

Nur Syazana Anuar Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Selangor, Malaysia
Norfifah Bachok Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Selangor, Malaysia
Norihan Md Arifin Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Selangor, Malaysia
Haliza Rosali Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Selangor, Malaysia

Keywords:

Hybrid nanofluid, onlinear stretching/shrinking, stagnation point, stability analysis

Abstract

The steady, laminar, stagnation point flow of hybrid nanofluid past a nonlinearly stretching and shrinking sheet is studied. Hybrid nanofluid is regarded by disseminated two distinct nano-sized particles, silver (Ag) and copper oxide (CuO) in pure water. Similarity technique was used for the transformation of partial differential equations (PDEs) into an ordinary differential equations(ODEs). Obtained ODEs were solved using Matlab’s built in function (bvp4c). The results of important governing parameters which are nonlinear parameter, stretching/shrinking parameter and nanoparticle volume fraction are evaluated and discussed in graphical and tabular form for the velocity and temperature profiles, along with local skin friction, local Nusselt number. Nonunique solutions (first and second branch) are visible for some limit of shrinking parameter. It is noticed that nonlinear parameter hastens flow separations. Hence, a stability analysis is executed to identify which solutions are stable and physically feasible.