We investigate properties of solutions for a squeezing flow problem governed by a fourth-order nonlinear ODE. The findings obtained reveal significant mathematical features with crucial physical implications. Those findings are obtained via the use of appropriate mathematical equations and approximations, as well as very careful mathematical analysis and derivations, which lead to mathematical formulas for relevant parameters, and results that enable us achieve a new understanding for the physical problem. The derived formulas for the parameters are compared with computations obtained using MATLAB built-in integrators to illustrate the accuracy of those derived formulas. In addition to doing the computations and generating the tabulated results, the MATLAB software is used to generate the figures and illustrations which highlight the main results and conclusions. Existence of solutions is discussed, and some special case solutions are obtained. Properties of parameters and their interdependence are determined, where relevant relations are derived.

我们研究由四阶非线性ODE控制的紧迫流动问题的解的性质。获得的发现揭示了具有重要物理意义的重要数学特征。这些发现是通过使用适当的数学方程式和近似值以及非常仔细的数学分析和推导得出的，这些分析和推导得出了相关参数的数学公式，其结果使我们对物理问题有了新的认识。将参数的导出公式与使用MATLAB内置积分器获得的计算结果进行比较，以说明这些导出公式的准确性。除了进行计算并生成列表结果外，MATLAB软件用于生成图形和插图，以突出显示主要结果和结论。讨论了解的存在性，并获得了一些特殊情况的解。确定参数的属性及其相互依赖关系，并推导相关关系。