Abstract
Using the technique of Laplace transform and its convolution theorem, exact solution can be obtained in a closed form for unsteady 1D motion of a special class of micro-polar fluid in the half-space, subject to a uniform magnetic field, when on the boundary the micro-rotation is proportional
to the vorticity and also the velocity is given. The numerical inversion of Laplace transform is also applied to obtain numerical solution which ascertain the accuracy of the exact solution of BVP. The problem when motion of the fluid is due to a sudden motion of its horizontal boundary which
is initially at rest is included as special case. The cases on the boundary the micro-rotation vanishes or equals to the vorticity are also studied.