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We have investigated the possibility of having a late time acceleratedexpansion phase for the universe. We have used a dissipative fluid inBrans-Dicke(BD) theory for this purpose. The model does not involve anypotential for the BD scalar field. We have obtained the best fit values for thedifferent parameters in our model by comparing our model predictions with SNIadata and the also with the data from the ultra-compact radio sources.Comment: 5 pages, RevTex Style two eps figures, Conclusion section has been  rewritten,new references have been added and also new constraints for the  parameter \omega has been given. Accepted for publication in Physical Review

Dissipative fluid in Brans-Dicke theory and late time acceleration