粘性加热流体中的温度相关函数与速度相关函数

本文试用格林函数法计算在外梯度作用下的无化学反应的粘性流体温度相关函数与速度相关函数。在计算中,流体的粘性加热因不能及时排出而看作随机扰动源。结果示明温度相关函数是温度梯度与速度梯度的二次函数,且有长程互作用性。当粘性无限增大时,可得固体的温度相关函数,所计算结果对粘性流体技术工作有很大帮助。(如熔融聚合物流注成膜、成线、及浇注,熔融金属连铸成板、线、丝、膜,半导体材料拉单晶,超晶格件的制造等)。

Temperature Correlation Function and Velocity Correlation Function in the Viscous Heating Fluids

In this paper, the author tries to colculate temperature correlation function and velocity correlation function in the viscous fluids without chemical reaction by using Green function. In the calculation, the viscous heating of fluids can be considered as stochastic fluctuation sources. The result showed that temperature correlation function is a function of second order in temperature and velocity gradients and has a property of long range interaction. One can get the temperature correlation of solid when the velocity goes to infinite. This result has an unusual advantage for the technological work of high vilocity fluids, such as forming film from melting polymer flow by injection, forming film polymer solution by injection, the crystalline and film or wire pull out from melting metal, artificial metallic superlattices etc.