Thermal Absorption/Generation on Ferro-fluid Combined Convective Flow Over Curvilinear Porous Surfaces

Abstract

In the influence of fluid buoyancy forces,
the ferrofluid combined convective flow in porous
curvilinear surfaces is studied with thermal
generation/absorption effect. In the ambient flow
conditions, the pressure gradient terms and
ferrofluid buoyancy forces are replaced by the free
steam velocity ???????? = √????????
???? + ????????
????. The governing
equations of the present problem are converted to
ODEs by introducing non-dimensional functions
and similarity variable. Boundary conditions of first
derivative of velocities and temperature of our
problem were constructed by the initial value
problem, also the unknown initial conditions are
found by shooting methods, and then a set of ODEs
is solved numerically by the integration scheme of
the six-order Range-Kutta method. The results of
the solutions are presented graphically of velocity
and thermal profiles with the help of MATLAB for
different values of suction parameter ???????? and heat
absorption parameter ????. Finally, the comparisons
of the results highlight the justification of the
numerical calculation accepted in the presence
study. The problems in curvilinear surface study of
boundary layer flow are complicated in fluid
mechanics with applications of natural science and
engineering.