论文标题
微观气流的新的精确解决方案
New exact solutions for microscale gas flows
论文作者
论文摘要
我们为非平衡稀有气流和热流的线性化毕业方程提供了许多精确的溶液。解决方案包括与放置在稀有气流中的点力相关的流量和压力场，靠近无滑动边界的温度场，放置在温度跳跃边界附近的热流中的点热源。我们还以一个依赖时间的点热源项和rotlet的毕业类似物（一种众所周知的stokes流动的奇异性）来得出一个不稳定的毕业方程的溶液，该溶液对应于点扭矩。
We present a number of exact solutions to the linearised Grad equations for non-equilibrium rarefied gas flows and heat flows. The solutions include the flow and pressure fields associated to a point force placed in a rarefied gas flow close to a no-slip boundary and the temperature field for a point heat source placed in a heat flow close to a temperature jump boundary. We also derive the solution of the unsteady Grad equations in one dimension with a time-dependent point heat source term and the Grad analogue of the rotlet, a well-known singularity of Stokes flow which corresponds to a point torque.
