Unsteady Magnetized Flow and Heat Transfer of a Viscoelastic fluid over a Stretching Surface

Highlights: • In the two dimensional motion, the study pertain to heat transfer through the fluid is with the consideration of viscous and Ohamic dissipations. • Blood possesses a magnetization property due to the presence of haemoglobin in RBC and that depends upon the temperature, density and magnetic field intensity. • The ferromagnetic potential has a substantial effect on the temperature distribution where the magnetic lines of force have a strong domination. • The presence of magnetic dipole at the appropriate position of the stretching sheet, flow control can be possible with the proper choice of fluid parameter. • In view of the present investigation, it may be attributed that ferromagnetic potential has a profound impression on the temperature distribution, because of the magnetization of heated particles. • Since, the strength of the magnetic field as well as the injected material and its amount can be made changed in accordance with the requirement of heat so, the outcome of this investigation is very much useful to the bio-engineers and medical scientists to develop devices required for heat generation to destroy unexpected cells like tumor cells in an organ. - Abstract: This paper is to study the flow of heated ferro-fluid over a stretching sheet under the influence of magnetic field. The fluid considered in the present investigation is a mixture of blood as well as fluid-dispersed magnetic nano particles and under this context blood is found to be the appropriate choice of viscoelastic, Walter's B fluid. The objective of the present work is to study the effect of various parameters found in the mathematical analysis. Taking into account the blood has zero electrical conductivity, magnetization effect has been considered in the governing equation of the present study with the use of ferro-fluid dynamics principle. By introducing appropriate non-dimensional variables into the governing equations of unsteady two-dimensional flow of viscoelastic fluid with heat transfer are converted to a set of ordinary differential equations with appropriate boundary conditions. Newton's linearization technique has been employed for the solution of non-linear ordinary differential equations. Important results found in the present investigation are the substantial influence of ferro-magnetic parameter, Prandlt number and the parameter associated with the thermal conductivity on the flow and heat transfer. It is observed that the presence of magnetic dipole essentially reduces the flow velocity in the vertical direction and that helps to damage the cancer cells in the tumor region.