TY  - JOUR
T1  - The Dual Solutions and Stability Analysis of Nanofluid Flow using Tiwari-Das
Modelover a Permeable Exponentially Shrinking Surface with
Partial Slip Conditions
AU - Dero, Sumera AU - Rohni, Azizah Mohd AU - Saaban, Azizan 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 13
SP  - 4569
EP  - 4582
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.4569.4582
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.4569.4582
KW  - Tiwari and Dass Model
KW  -slip conditions
KW  -thermal radiation
KW  -dual solution
KW  -stability analysis
KW  -parameters
AB  - 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.
ER  -