The shear (η) and bulk (ζ) viscous coefficients have been evaluated for a gluonic fluid. The elastic, gg → gg and the inelastic, number non-conserving, gg→ ggg processes have been considered as the dominant perturbative processes in evaluating the viscous co-efficients to entropy density (s) ratios. Recently the processes: gg → ggg has been revisited and a correction to the widely used Gunion-Bertsch (GB) formula has been obtained. The η and ζ have been evaluated for gluonic fluid with the

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... la derived recently. The sensitivity of the quantity, η/s on the running coupling constant is also discussed. At α_s=0.3 we get η/s=0.24 which is close to the value obtained from the analysis of the elliptic flow at RHIC experiments.