Abstract:
The present research examines the behavior of a Jeffrey nanofluid flow
across a stretching sheet under the effect of electric and magnetic fields. It
comprises the Buongiorno model as well as an exponential heat source.
The impact of chemical reaction has also been taken into consideration.
While assuming no mass flux, the study considers boundary conditions for
thermal convection and velocity slip. Lie group transformations are
employed to transform the set of governing equations into a dimensionless system and later simulated using the finite difference scheme. It is
found that the velocity profile rises as the Deborah number is enhanced
whereas the ratio of relaxation to retardation time parameter has an
inverse effect on the velocity profile. It is noted that per unit change in
the Deborah number descends the drag coefficient by 31.29%. In this
study, the response surface methodology and sensitivity analysis have
been conducted by choosing heat transport as the dependent variable
and the electric-field parameter ð0:01 � E � 0:03Þ, exponential heat
source parameter ð0:02 � Qe � 0:06Þ, and Biot number ð0:15 � Bi � 0:25Þ
as the independent variables. The Nusselt number escalates when the Bi
number is increased and drops as the E values are raised. In the instance
of the Biot number, the Nusselt number exhibits the maximum sensitivity
