Some complex situations are met in the case where the physical problem treated made call to two different environments that are in mutual influence. In our survey, we suggests a digital treatment by the finite difference method of Cranck-Nicholson for the resolution of the problem relative to an unsteady laminar flow of a Newtonian fluid in presence of an homogeneous cylindrical heated obstacle. The fluid is injected in a vertical conduct presenting a flare at the entrance. The interaction between the solid and the fluid in ascending evolution is studied for different values of the number of Reynolds and for a thermal conductivity ratio k{sub}s/k{sub}f=10{sup}(-2).
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机译：在所处理的物理问题导致相互影响的两个不同环境的情况下，会遇到一些复杂的情况。在我们的调查中，我们建议使用Cranck-Nicholson有限差分方法进行数字处理，以解决与均匀圆柱加热障碍物存在时牛顿流体的非恒定层流有关的问题。流体以垂直方向注入，在入口处出现火炬。对于不同的雷诺数值和热导率比k {sub} s / k {sub} f = 10 {sup}（-2），研究了固体和流体在上升过程中的相互作用。
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