A Selective Catalytic Reduction (SCR) system is a simple solution to mitigate high concentration of nitrogen oxides from tail pipe emissions using ammonia as catalyst. In recent years, implementation of stringent emission standards for diesel exhaust made the SCR system even more lucrative aftertreatment solution for diesel engine manufacturer due to its well established reaction mechanism and lower initial cost involved compared to other available options. Nitrogen oxides reduction efficiency and ammonia slip are two main parameters that affects SCR system performance. Therefore, primary design objective of an efficient SCR system is to enhance reduction of nitrogen oxides and control ammonia slip. Both these factors can be improved by having a uniform mixture of ammonia at the SCR inlet. In this mathematical simulation, various parameters that affect accuracy in predicting the uniformity of mixture at the SCR inlet have been documented. The uncertainties involved with these modeling and input parameters are discussed and a number of possible methods to ascertain their values in the mathematical models have been suggested.