Dear Moscos,
When the cold fluid outlet temperature goes higher than the hot fluid outlet temperature, a CROSS is supposed to take place in a counter current exchanger. Beyond this point, the temperaure of cold fluid will be higher than the hot one and heat transfer will take place in the opposite direction to that desired. For example, if you are cooling a hot fluid to 40 Deg with cooling water and the cooling water outlet temperature rises to 45 Deg C, there is cross of about 5 DeG c. This cross leads to poor utilization of heat transfer area and is normally taken care of in design by the LMTD correction factor F. When there is no cross, the F is above 0.8. If there is a cross, it rapidly falls below 0.8. thus losing the effect of good Delta T and increasing the area required almost exponentially. So when a cross cannot be avoided, you split the exchanger into 2 or more shells and avoid the cross in each shell because the hotter cold fluid never meets the colder shell fluid. You get good LMTDs and good Fs. But the cost is higher due to more shells. I suggest you draw some temperature vs Length profiles with 1-2 and 2-4 exchangers to get a feel of what I have written. Best wishes.