Chemical reaction effects in Maxwell fluid flow over permeable surface: Dual solutions

This communication addresses the chemical reaction effects in two-dimensional boundary layer flow of an upper convected Maxwell (UCM) fluid over a shrinking surface. Mathematical modeling has been performed and the adequate transformations have been utilized for the conversion of partial differential system into coupled nonlinear ordinary differential system. Numerical techniques namely shooting method combined with Runge-Kutta fourth order and Newton's method are utilized for the construction of the solutions for the velocity and the concentration fields. Dual nature of solutions for both velocity and concentration field is displayed and discussed. It is noted that the range for suction is larger for the non-Newtonian fluid when compared with the Newtonian fluid. It is also observed that two solutions exist for different values of Deborah number.