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In this note we have tried to determine how the existence of a local entropycurrent with non-negative divergence constrains the second order transportcoefficients of an uncharged fluid, following the procedure described in\cite{Romatschke:2009kr}. Just on symmetry ground the stress tensor of anuncharged fluid can have 15 transport coefficients at second order inderivative expansion. The condition of entropy-increase gives five relationsamong these 15 coefficients. So finally the relativistic stress tensor of anuncharged fluid can have 10 independent transport coefficients at second order.

Constraints on the second order transport coefficients of an uncharged fluid