Numerical Study Of Temperature Sensitive MHD Flat Stagnation-point Flow And Rotating Disk Flow

The flat stagnation-point flow is a classic problem of the fundamentals of fluid mechanics,the research of its numerical solution is continued.After Hiemenz first studied the two-dimensional flat stagnation-point flow and calculated the exact solution of the N-S equations,many other researchers do the researches and made outstanding achievements in different aspects.With the deepening of the research,the two-dimensional problem is gradually extended to three-dimensional space,the most representative problem is the rotating disk flow problem.However,most of the previous studies only considered the influence of the single factor or single physical parameters variation on the whole flow field such as flat movement,heat transfer and external heat source.In this paper,we considered the influence of many factors on the flow field at the same time,mainly studied the temperature sensitive two-dimensional MHD flat stagnation-point flow and three-dimensional rotating flow problem.The viscosity and the thermal conductivity are all functions of temperature,and considering the influence of magnetic field on flow field.The present paper is assembled as follows:Chapter 1,introduces the research status of flat stagnation-point flow and rotating disk flow and the significance of this study;Chapter 2,introduces the basic content of flat stagnation-point flow and rotating disk flow,including the setting of similarity solution,the transformation of boundary conditions and the calculation method of basic problems;Chapter 3,studies the temperature sensitive MHD flat stagnation-point flow problem.Firstly,the N-S equations are obtained through physical analysis,and then the governing N-S equations are transformed into ordinary differential equations bysimilarity transformation and solved numerically using shooting method.Finally,the variation of flow field with different parameters are analyzed in detail;Chapter 4,studies the temperature sensitive MHD rotating disk flow problem.Firstly,the N-S equations are obtained through physical analysis,and then the governing N-S equations are transformed into ordinary differential equations by similarity transformation and solved numerically using shooting method.Finally,the variation of flow field with different parameters are analyzed in detail,and the results are compared with those of the literature [20];Chaper 5,compares and summarizes the conclusions of the chapter 3 and the chapter 4.