1683skin-friction coefficient increase with the increasing values of m as in the case of constant properties for all x*.The results indicate that the variations of thermal conductivity and viscosity to the local Nusselt number and the local skinfriction coefficient are quite significant. Care must be taken in using the constant properties solution.The variational method combined with CSMP program has been found to be fruitful in the solution of this complex problem. Particularly, it was found that the CSMP program in solving this type of problem is very simple and straightforward. The great potential of such a combined technique and the CSMP program are still to be fully exploited in other engineering problems.