  Uncertainties plays an important character in almost every problem which
generally not considered and ideal cases are studied. As such, the consequences
cost more and need model prediction. In view of these, this paper investigates
nanofluid heat transfer problem under a variable magnetic field with uncertain
bounded parameters and analyzed effect of uncertainness over the field
variables of the system. The variations of velocity, temperature and
concentration profiles with the uncertainness for the said problem are reported
here. The main challenge one face is the presence of uncertainties make the
system complicated to study. So, alternate idea should be developed such that
one can overcome the same. Hence, the involved uncertain parameters are
considered as intervals and one parametric mapping technique is used for the
same. For detail analysis of the said problem a semi analytical method viz.
homotopy perturbation method is adapted with the transformation technique.
Here, the suction parameter, squeeze number and Hartmann numbers are considered
as intervals. Then considering different combinations of these parameters the
problem is solved and sensitiveness of the same for the said problem is
analysed. Finally, based on the sensitiveness, a relation of between the
uncertain parameters with the mentioned system has been established.
