Numerical Results on Slip Effect over an Exponentially Stretching/Shrinking Cylinder

An investigation is conducted to study the flow and heat transfer on stagnation point over
an exponentially stretching/shrinking cylinder filled with nanofluid in the presence of slip at the
boundary. By using the appropriate exponential similarity transformation, the governing equations
are converted into nonlinear ordinary differential equations and then solved computationally using
bvp4c in Matlab software. The results of skin friction coefficient, heat transfer coefficient, velocity and
temperature profiles on slip parameter, curvature parameter, nanoparticles as well as nanoparticle
volume fraction parameter are presented graphically. The presence of slip and curvature parameters
cause the region of dual solutions to expand and at once enhance the heat transfer rate at the
surface but somehow the heat transfer rate at the surface decreases rapidly when cylinder is shrunk.
The aim of this paper is to investigate the effect of slip parameter on nanofluid as well as on the
stretching/shrinking surface. The new findings of the effects of skin friction and heat transfer
coefficient on different nanoparticles and nanoparticle volume fraction were discussed. Since there
are dual solutions in the flow characteristics, we carry out a stability analysis to verify which solution
is in a stable state and can be realized physically