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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 (Ω) and fluid index (m and n). Spatial distribution of entropy generation number, irreversibility ratio and Bejan number are presented graphically.