Medical applications for the flow of carbon-nanotubes suspended nanofluids in the presence of convective condition using Laplace transform

In nano-medicine, attempts of using the carbon-nanotubes (CNTs) as drug-carriers are undertaken especially in the treatment of cancer. These (CNTs) are first injected into the blood which then reach the tumor cite under the actions of the waves propagated by the walls of the arteries with an external force such as a magnetic field or laser beams. The flow near the boundary of the artery may be treated as a boundary layer flow only for simplification as we consider here. In applied science, the flow and heat transfer of CNTs are usually described by systems of nonlinear differential equations. Due to nonlinearities, the exact solutions of such systems cannot be obtained in most cases. In this paper, an effective analytical procedure is proposed to deduce the exact solution of a system of nonlinear differential equations describing the effect of a convective heat condition on the flow and the heat transfer of carbon-nanotube suspended nanofluids with suction/injection in the presence of a magnetic field. The heat transfer equation is solved via applying Laplace transform and the solution is expressed in terms of the generalized incomplete gamma function. Also, it is proved that the present exact solutions for the flow and the heat transfer reduce to those in literature in the absence of the suction/injection and the convective parameters. The results declare that the temperature profiles are very sensitive regarding the value assigned to the convective parameter. Moreover, the effects of other physical parameters on the studied phenomena are displayed through graphs. Besides, possible applications of the current results have been also discussed.