  Some Bianchi type I viscous fluid cosmological models with a variable
cosmological constant are investigated in which the expansion is considered
only in two direction i.e. one of the Hubble parameter $(H_{1} =
\frac{A_{4}}{A})$ is zero. The viscosity coefficient of bulk viscous fluid is
assumed to be a power function of mass density whereas the coefficient of shear
viscosity is considered as constant in first case whereas in other case it is
taken as proportional to scale of expansion in the model. The cosmological
constant $\Lambda$ is found to be positive and is a decreasing function of time
which is supported by results from recent supernovae Ia observations. Some
physical and geometric properties of the models are also discussed.
