Heat And Mass Transfer In Thin Film Flow Of Nanofluid Under Buongiorno’s Model

As an emerging and efficient heat-transfer medium,nanofluids have a wide-spread applications in fuel cells,biochemical engineering,coolers,vehicle engineering and computers.Therefore,it is significant to research the heat-conducting property of nanofluids.This dissertation mainly studies the nano-liquid flow under the Buongiorno’s model.On the one side,we present an analytical study on the flow and heat transfer of nanofluid in the finite thin film over an unsteady stretching plate,the impact of Brownian motion and thermophoresis on the flow of nanofluid are emphatically discussed.On the other side,we studied the flow and heat transfer of nanofluid on an inclined stretching plate of finite thickness,the effect of gravity are taken into account.On the basic of the conservation law in fluid mechanics,the govering partial differential equations(PDEs)is established under the Cartesian coordinate system.Then the PDEs are converted into a set of ordinary differential equations by using appropriate self-similarity transformations.A serial of analytical solutions are obtained by homotopy analysis method;and the arithmetic solution is given by the shooting method,which combines the Runge-Kutta method and Newton iteration,then the analytical solution are compared with numerical solution.Finally,the effect of important physical parameters such as Brownian motion parameter,thermophoresis parameter and unsteadiness parameter are discussed in detail.