Development of computer-based algorithms for various heat transfer applications is emerging as a successful tool in the field of thermal engineering. Artificial intelligence algorithms used in this field are simple models of human intelligence and evolutionary experience. The methods used for such analysis include using fundamental equations, employing conventional correlations, or developing unique designs from experimental data through trial and error. Also the heat transfer problems are becoming increasingly more complex and that the need for modelling single steady phenomena requires dealing with dynamics, system performance, optimization, and control. To overcome this difficulty, a simple artificial neural network (ANN) method has been implemented in various heat transfer studies based on databases available from experimentation. This work provides an overview of the literature on the works carried out in the analysis of Heat Exchangers, Shell and Tube Heat Exchanger, Compact Heat Exchangers and emergence of ANN simulation for thermal systems which are relevant for present studies.