Different authors have studied incompressible fluid flow through two inclined planes. Previous authors have used different numerical methods to find the velocity profile of fluid flow for Jeffery–Hamel problem, which is known as the forward problem. It may be interesting to study the inverse problems related to the above. In that case, the velocity profile may be known and then the angle between two inclined planes is required to be found. Accordingly, in this article, we have first used Homotopy Perturbation Method (HPM) to find the velocity profile for a fixed angle. Further, by using this velocity profile, we have found the required angle in between the inclined planes. For these, different approximations via HPM are computed and it has been shown that the identified fixed angle converges, giving the required angle. The novelty of the procedure is that if we have the velocity profile from the experiment, then we may use the same procedure to know the targeted angle. This may also be generalized to other inverse problems, and also we may similarly find other parameters.

不同的作者研究了通过两个倾斜平面的不可压缩流体流动。先前的作者已经使用不同的数值方法来找到杰弗里-哈默尔问题（称为正向问题）的流体流速分布。研究与上述相关的逆问题可能会很有趣。在那种情况下，可以知道速度分布，然后需要找到两个倾斜平面之间的角度。因此，在本文中，我们首先使用同伦摄动法（Homomotopy Perturbation Method，HPM）来查找固定角度的速度分布。此外，通过使用该速度曲线，我们在倾斜平面之间找到​​了所需的角度。对于这些，通过HPM计算出不同的近似值，并且已经表明，识别出的固定角度会收敛，从而给出所需的角度。该程序的新颖之处在于，如果我们从实验中获得速度曲线，则可以使用相同的程序来知道目标角度。这也可以推广到其他反问题，并且我们也可以类似地找到其他参数。