An analysis of the hydromagnetic free convective flow past a vertical infinite porous plate in a rotating fluid is carried out. The temperatures involved are assumed to be very large so that the radiative heat transfe...An analysis of the hydromagnetic free convective flow past a vertical infinite porous plate in a rotating fluid is carried out. The temperatures involved are assumed to be very large so that the radiative heat transfer is significant, which renders the problem very non-linear even on the assumption of a differential approximation for the radiative flux. The temperature and velocity fields are computed using a generic software tool based on the Nakamura finite difference scheme. The genericity of the software tool is in the sense that it is a common solution to the category of time dependent laminar fluid flows expressed in one spatial coordinate. The input equations, together with other relevant parameters, are transformed into postfix code which will be farther interpreted in the computation process. The influence of the various parameters entering into the problem is shown graphically followed by a discussion of results.展开更多
通过引入网函数的概念定义了平面动力系统中极限环数值解的概念,然后以van der Pol方程对应的平面系统为例,使用四阶Runge-Kutta方法建立其方程组的数值解法,并以此为基础建立了极限环的数值解法.特别地,引入范数估计和流量估计两种距...通过引入网函数的概念定义了平面动力系统中极限环数值解的概念,然后以van der Pol方程对应的平面系统为例,使用四阶Runge-Kutta方法建立其方程组的数值解法,并以此为基础建立了极限环的数值解法.特别地,引入范数估计和流量估计两种距离标准,从几何直观性和实际意义两个角度刻画了迭代精度.特定参数取值的算例证明了该方法的有效性.展开更多
文摘An analysis of the hydromagnetic free convective flow past a vertical infinite porous plate in a rotating fluid is carried out. The temperatures involved are assumed to be very large so that the radiative heat transfer is significant, which renders the problem very non-linear even on the assumption of a differential approximation for the radiative flux. The temperature and velocity fields are computed using a generic software tool based on the Nakamura finite difference scheme. The genericity of the software tool is in the sense that it is a common solution to the category of time dependent laminar fluid flows expressed in one spatial coordinate. The input equations, together with other relevant parameters, are transformed into postfix code which will be farther interpreted in the computation process. The influence of the various parameters entering into the problem is shown graphically followed by a discussion of results.
文摘通过引入网函数的概念定义了平面动力系统中极限环数值解的概念,然后以van der Pol方程对应的平面系统为例,使用四阶Runge-Kutta方法建立其方程组的数值解法,并以此为基础建立了极限环的数值解法.特别地,引入范数估计和流量估计两种距离标准,从几何直观性和实际意义两个角度刻画了迭代精度.特定参数取值的算例证明了该方法的有效性.
