LAUSR

Integral representations for the velocity vector, microrotation vector and the scalar microstretch function are derived for the class of microstretch fluids under the assumption of creeping and incompressible steady motion. In deriving these representations, we used previous known results solutions corresponding to a concentrated force, a concentrated couple and a concentrated microstretch force density. The derived integral representations used to find the single layer and double layer potentials for microstretch fluids. The results of this study are important to study the uniqueness and existence of the governing equations of motion of the creeping flow of microstretch fluids and in some other aspects of hydrodynamic problems such as in solving problems of boundary integrals numerical method.