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
