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This study aimed to investigate on the effect of pa rameters in nanofluid flows in a Channel with Navier Slip and Convective Coolin g.The nanofluid in a channel modal was developed for determining the effect of differe nt parameter on velocity and temperature of nanofluid and to determine the effec t of Navier slip. The appropriate mathematical model for the problem was derived from the laws of conservation, momentum and energy balance where both first and se cond laws of thermodynamics are utilized to analyze the model problem. Using discre tization finite difference method together with Runge-Kutta Fehlberg integration sche me implemented on the Computer using Matlab software, the governing partial differ ential equations was solved numerically. The Alumina ( 2 3 Al O ) and Copper ( ) Cu nanoparticles was used to formulate water based nanofluid. The findings showed that fo r both Alumina-water and Cu-water nanofluids velocity increases with time until it re aches their steady state, but Aluminawater reaches its steady state earlier than Cu-wate r. Th nanofluid velocity increases with Reynolds number (Re), pressure gradient, (A) but de creases with an increase in nanoparticle volume fraction φ. The nanofluid temperature increases with Eckert num ber (Ec), but decrease with an increase in Biot number (Bi) and nanoparticle volume fraction (φ).

Numerical Investigation of the Effect of Parameters in Nanofluid Flows in a Channel with Navier Slip and Convective Cooling