Marangoni Boundary Layer Flow Heat And Mass Transfer Over A Disk

Marangoni effect plays an important role in microgravity or zero gravity environment.It is widely used in aerospace,crystal growth,film transport,weld pool,bubble fusion and so on.Therefore,the study of Marangoni boundary layer flow transport mechanism has significant application value.Based on the previous works,the flow,heat and mass transfer of Marangoni boundary layer over a disk are studied and the inherent rules are revealed in this paper.Magnetic fluids and non-Newtonian power-law fluids are selected as the representatives of Newtonian fluids and non-Newtonian fluids respectively.On the one hand,the constitutive equations of MHD still adopt the classical Fourier heat conduction law and Fick diffusion law,focusing on the joint action of heat and mass transfer.On the other hand,the rheological properties of non-Newtonian fluids are much more complex than Newtonian fluids,so the N-power-law diffusion process is the major consideration.Because the heat transfer is similar to the mass transfer,the heat transfer process is ignored.Based on the basic theory of hydrodynamics,the governing equations and the corresponding boundary conditions are established.The governing partial differential equations are transformed into the boundary value problems of ordinary differential equations by selecting the appropriate generalized Kármán similar transformation.The approximate analytical solution is obtained by homotopy analysis method(HAM),and the numerical solution is obtained by shooting method combined with Newton's scheme and Runge-Kutta method.The two results are verified by each other.The effects of physical parameters such as Marangoni number,Hartmann number of magnetic field and power-law exponent on velocity,temperature and concentration fields are analyzed and discussed.