Exponential solution of a problem of two-dimensional motion of micropolar fluid in a half-plane

In this paper we generalize the results of the homogenous equation in fluid mechanics in the half-plane for the type of micropolar fluid when the shear stresses, spin micro-rotation and one component of the velocity are given on the boundary. We use Laplace Fourier transforms and then we convert Laplace transform to find the solution in Laplace domain. Then the numerical solution is applied to obtain the real solution in the physical domain graphically.