A theoretical study is presented for the problem of injection of an elastico-viscous fluid through a moving elliptic plate. The governing equations are reduced to a system of nonlinear ordinary differential equations by means of appropriate transformations for the velocity components. The resulting boundary value problem is solved numerically using the Matlab solver singular boundary value problem (SBVP). The current numerical analysis encompasses the range of cross-flow Reynolds number R as . The results are compared with those known from the literature and an excellent agreement is found. Perturbation solutions are also obtained for small R.  A comparison of the numerical solutions with the perturbation solutions is made. The comparison shows that the perturbation solutions give acceptable results for  and , where N is the viscoelastic fluid parameter. The influence of the viscoelastic fluid parameter on the velocity, load-carrying capacity and friction force has been examined carefully.

Key words: Elasticoviscous fluid, porous slider, load-carrying capacity, friction force.