Problem 2.170

Two vertical plates submerged partially in a wetting liquid form a wedge with a very small angle \(\delta \varphi .\) The edge of this wedge is vertical. The density of the liquid is \(\rho,\) its surface tension is \(\alpha,\) the contact angle is \(\theta .\) Find the height \(h,\) to which the liquid rises, as a function of the distance \(x\) from the edge.