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Corresponding Author

Devaki Palluru

Subject Area

Mathematics and Engineering Physics

Article Type

Special Issue Original Study

Abstract

The dual behavior of Elli’s fluid motivated us to work on it. The fluid behaves as both Newtonian/ non-Newtonian based on the low and high shear rates, respectively. The paper focused on the flow of Ellis fluid in a peristaltic channel with wall properties and heat transfer. The channel is symmetric in nature, and slip conditions are considered near the elastic walls. The governing equations of the flow are solved analytically using suitable boundary conditions, which yield velocity and temperature functions. The novelty of the paper is to analyze the nature of Newtonian/non-Newtonian fluids under the same conditions so that future researchers can use this fluid to analyze different critical parameters and predict the outcome of both Newtonian and non-Newtonian behaviors. Also, there is no work done on Elli’s fluid in a non-uniform channel in the presence of wall properties, which is very much close to the flow of blood in arteries. The behavior of velocity and temperature is observed through graphs by different physical parameters. As the viscous damming forces increase, there is a downfall in the velocity of the fluid flow, and the temperature effect also decreases. This is due to the fluid behavior in a wavy channel. There are many interesting facts that are discussed in the paper in detail. The results will motivate us to concentrate on many observations of blood flow under different physical situations.

Keywords

Elli’s Liquid, Wavy channel, Wall properties, Heat Transfer, Slip effect, Stream Function.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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