1. Develop a self-similar solution for the flow over a flat plate that includes viscous dissipation. The ordinary differential equation governing the dimensionless temperature difference should include an additional term that is related to the Eckert u number (Ec = Cp (Too-Ts) T-Ts Too-Ts' a) Plot the dimensionless temperature difference, as a function of the similarity parameter, n, for various values of Ec with Pr = 10. (Note: you may choose Ec= 0,10, 25, 50 and 100) b) (Optional) Plot the ratio of the Nusselt number to the Nusselt number neglecting viscous dissipation (i.e., with Ec = 0) as a function of the Eckert number for various values of the Prandtl number.