The blood low with heat transportation has prominent clinical importance during the levels where the blood low needs
to be checked (surgery) and the heat transportation rate must be controlled (therapy). This work presents an analysis of the
melting heat transport of blood, which consists of iron nanoparticles along free convection with cross-model and solution
of the partial diferential equation (PDEs) are emerged by the mathematical model. Being the importance of iron oxide
nanoparticles in applications of the biomedical ield due to their intrinsic properties such as colloidal stability, surface engineering capability and
low
toxicity,
this
study has been
launched.
Furthermore, PDEs of
the
problem
are
converted
into
a

set of nonlinear
ordinary
diferential
equations (ODEs)
by
proper
transformations. The solution of
this
system of ODEs
is

calculated
through RK 4
method and
Keller–Box
scheme. Some leading points and
numerical
results of
this
study of
both

types
of
presence
and
absence
of
meting
efects
are
tabulated.