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By considering the effect of shear viscosity we have investigated theevolution of a chemically equilibrating quark-gluon plasma at finite baryondensity. Based on the evolution of the system we have performed a completecalculation for the dilepton production from the following processes:$q\bar{q}{\to}l\bar{l}$, $q\bar{q}{\to}gl\bar{l}$, Compton-like scattering($qg{\to}ql\bar{l}$, $\bar{q}g{\to}{\bar{q}}l\bar{l}$), gluon fusion$g\bar{g}{\to}c\bar{c}$, annihilation $q\bar{q}{\to}c\bar{c}$ as well as themultiple scattering of quarks. We have found that quark-antiquark annihilation,Compton-like scatterring, gluon fusion, and multiple scattering of quarks giveimportant contributions. Moreover, we have also found that the dilepton yieldis an increasing function of the initial quark chemical potential, and theincrease of the quark phase lifetime because of the viscosity also obviouslyraises the dilepton yield.

Viscosity and dilepton production of a chemically equilibrating quark-gluon plasma at finite baryon density