Theoretical Study And Numerical Analysis Of The Laminar Flow And Heat Transfer In Micro-channel

With the rapid development of the packing density of the electronic device, the heat sink of the electronic device becomes more and more obvious. Micro channels heat sink is a new kind of heat control technology, which is becoming more popular, both in commercial and in scientific research. Understanding deeply the momentum and heat transport performs in micro domain is the fundamental in the heat transfer field.First, the theoretical analyses of the effect velocity slip condition on the velocity and flow resistance is made for the hydraulic and thermal fully developed laminar flow of the incompressible fluid in micro channels. The energy equation combining with the boundary condition of temperature jump and axial wall heat conduction, the theoretical deduction of convective and conduction differential equations are obtained in the micro channel. And solve the differential equation successfully by the method of separating the variables, so determine of the parameters in temperature field expression use the fluid-solid coupling boundary conditions and known conditions. And obtain the coefficient of temperature jump and mean Nusselt number. Finally, using the simulation software (MATLAB), this thesis achieve the effects of Reynolds number on the flow resistance at various coefficient of velocity slip, the velocity varying with radius of micro channel, the graphic of the temperature distribution and mean Nusselt number. And comprise with the classical solutions.By analyzing the solutions indicate the flow resistances decreasing with the velocity slip increasing and exiting obvious temperature jump on fluid-solid boundary.