On the Flows through Dilating and Squeezing Domains

Abstract

The flow of gasses and liquids in certain practical situations like artificial respiratory system, blood circulation, biological transportation of substances and industrial filling equipment, is important enough to require us to understand the flows through dilating and squeezing domains. Aforementioned situations, wholly or partially, are reliant on the channels flows with expanding and contracting walls. The applications of these types of flows vary from a simple filling machine to complex cleansing systems. Many scientists have shown their interests in the studies related to the flows in dilating and squeezing domains (the references can be found in the text to follow). In this manuscript, we have investigated some unexplored aspects of such flows. These include the study of channel flows in some particular situations using Newtonian and non-Newtonian flow models. Similarity transformations have been used to reduce the governing equation to a single or a system of ordinary differential equations. We have also tried to cast a light on the heat and mass transfer effects influencing the flows under consideration. The effects of nonlinear thermal radiation and linear chemical reaction are also studied for the flows through dilating and squeezing channels. We also extended the former work to the latest technological boundaries involving the use of nanofluids to enhance the heat transfer in flow systems. In our work, some models for the nanofluids are considered to formulate the channel flows. Different analytical as well as numerical techniques have been applied to solve the resulting equations. The suitable comparison between the solutions obtained by different techniques is also provided to see the agreement between the solutions. The graphical simulations are presented to analyze the flow behavior caused due to the variations in the involved physical parameters