Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 13
Page No. 4569 - 4582

The Dual Solutions and Stability Analysis of Nanofluid Flow using Tiwari-Das Modelover a Permeable Exponentially Shrinking Surface with Partial Slip Conditions

Authors : Sumera Dero, Azizah Mohd Rohni and Azizan Saaban

Abstract: The main object of present research is to find the multiple solutions of the nanofluid flow of two-dimensional water-based nanofluid over the exponentially shrinking surface in existence of slip conditions and the thermal radiation. The governing equations are transformed into the coupled nonlinear similarity equations by exponential type of the similarity transformations. The obtained equations have been solved numerically to get the velocities and the temperature distribution profiles in respective of the boundary layer flow. From the numerical solutions, it is observed that there exist the dual solutions for the certain considered parameters. The results are presented to demonstrate the effect of different parameters consisting the velocity and thermal slip, the thermal radiation parameter and the volumetric fractions of the three different kinds of the solid nanoparticles, like as, Copper (Cu), silver (Ag) and aluminium by means of water as the base fluid. In last, the stability analysis is performed in which it is shown that the first solution is stable and physically possible.

How to cite this article:

Sumera Dero, Azizah Mohd Rohni and Azizan Saaban, 2019. The Dual Solutions and Stability Analysis of Nanofluid Flow using Tiwari-Das Modelover a Permeable Exponentially Shrinking Surface with Partial Slip Conditions. Journal of Engineering and Applied Sciences, 14: 4569-4582.

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