  In this paper we study two different cases of inhomogeneous EOS of the form
p_d = \omega(t)\rho_d+w_1 f(H, t) . We derive the energy density of dark fluid
and dark matter component for both the cases. Further we calculate the
evolution of energy density, gravitational constant and cosmological constant.
We also explore the finite time singularity and thermodynamic stability
conditions for the two cases of EOS. Finally, we discuss the thermodynamics of
inhomogeneous EOS with the derivation of internal energy, Temperature and
entropy and also show that all the stability conditions are satisfied for the
two cases of EOS
