  We investigate the evolution of timelike geodesic congruences, in the
background of a charged black hole spacetime surrounded with quintessence. The
Raychaudhuri equations for three kinematical quantities namely the expansion
scalar, shear and rotation along the geodesic flows in such spacetime are
obtained and solved numerically. We have also analysed both the weak and the
strong energy conditions for the focusing of timelike geodesic congruences. The
effect of the normalisation constant and equation of state parameter on the
evolution of the expansion scalar is discussed, for the congruences with and
without an initial shear and rotation. It is observed that there always exists
a critical value of the initial expansion below which we have focusing with
smaller values of the normalisation constant and equation of state parameter.
As the corresponding values of both of these parameters are increased, no
geodesic focusing is observed. The results obtained are then compared with
those of the Reissener Nordtrom and Schwarzschild black hole spacetimes as well
as their de-Sitter black hole analouges accordingly.
