  We study five dimensional(5D) spherically symmetric self-similar perfect
fluid space-time with adiabatic equation of state, considering all the families
of future directed non-spacelike geodesics. The space-time admits globally
strong curvature naked singularities in the sense of Tipler and thus violates
the cosmic censorship conjecture provided a certain algebraic equation has real
positive roots. We further show that it is the weak energy condition (WEC) that
is necessary for visibility of singularities for a finite period of time and
for singularities to be gravitationally strong. We, also, match the solution to
5D Schwarzschild solution using the junction conditions.
