Thermodynamic analysis of flow and heat transfer inside channel with two parallel plates

We investigate analytically the first and second law characteristics of fluid flow and heat transfer inside a channel having two parallel plates with finite gap between them. Fully developed forced convection is considered. Fluid is assumed non-Newtonian and followed the power law model. Analytical expressions for dimensionless entropy generation number (N_S), irreversibility distribution ratio (Φ) and Bejan number (Be) are determined as a function of dimensionless distance (Y), Peclet number (Pe), Eckert number (E), Prandtl number (Pr), dimensionless temperature difference ($\text{Ω)}$ and fluid index (m and n). Spatial distribution of entropy generation number, irreversibility ratio and Bejan number are presented graphically.