  In contact binaries mass transfer is usually non-conservative which ends into
loss of mass as well as angular momentum in the system. In the present work we
have presented a new mathematical model of the non-conservative mass transfer
with a uniform mass accretion rate in a contact binary system with lower
angular momentum. The model has been developed under the consideration of
reverse mass transfer which may occur simultaneously with the original mass
transfer as a result of the large scale circulations encircling the entire
donor and a significant portion of the gainer. These circulations in contact
binaries with lower angular momentum are caused by the overflow of the critical
equipotential surface by both the components of the binary system making the
governing system more intricate and uncertain.
