  We investigate late time acceleration of the universe in higher dimensional
cosmology. The content in the universe is assumed to exert pressure which is
different in the normal and extra dimensions. Cosmologically viable solutions
are found to exist for simple forms of the equation of state. The parameters of
the model are fixed by comparing the predictions with supernovae data. While
observations stipulate that the matter exerts almost vanishing pressure in the
normal dimensions, we assume that, in the extra dimensions, the equation of
state is of the form $P \propto \, \rho^{1 - \gamma}$. For appropriate choice
of parameters, a late time acceleration in the universe occurs with $q_0$ and
$z_{tr}$ being approximately -0.46 and 0.76 respectively.
