A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 16 July 2020
Issue publication date: 4 February 2021
Abstract
Purpose
objective of the present investigation is to examine the influence of Hall on the peristaltic mechanism of Johnson-Segalman fluid in a heated channel with elastic walls. The transmission of heat is carried out. Relevant equations are computed for heat transfer coefficient, temperature and velocity. Low Reynolds number assumptions and long wavelength are employed. The interpretation of various parameters is analyzed. The results indicate that the heat transfer coefficient, temperature and velocity are larger for viscous material in comparison with Johnson-Segalman material.
Design/methodology/approach
The transmission of heat is carried out. Relevant equations are computed for heat transfer coefficient, temperature and velocity. Low Reynolds number assumptions and long wavelength are employed. The interpretation of various parameters is analyzed. The results indicate that the heat transfer coefficient, temperature and velocity are larger for viscous material in comparison with Johnson-Segalman material.
Findings
The formulation of paper is executed as follows. Section 2 comprises problem summary and mathematical design. Solution methodology is discussed, and expressions for temperature, velocity and coefficient of heat transfer are derived in Section 3. Graphical outcomes for the parameters are reported in Section 4. Conclusions are outlined in Section 5.
Practical implications
Peristaltic phenomenon of fluids has a definite role in many physiological, industrial and engineering processes. The mechanical devices for instance finger and roller pumps operate via this process, and it is quite significant for vasomotion of blood vessels, consumption of food via esophagus, chyme flow in gastrointestinal zone, toxic liquid flow in nuclear industry and transport of corrosive fluids.
Originality/value
Literature review witnesses that information about peristalsis of conducting fluid in a heated channel with flexible walls and Hall effect is scarce. So, our goal is to discuss the peristaltic activity of non-Newtonian fluids in flexible channel. Johnson-Segalman fluid is taken into account. This model is used to allow non-affine deformations. Experimentalists relate “spurt” with wall slip. That is why the work presented is original.
Keywords
Acknowledgements
First author is grateful for the financial support of Higher Education Commission (HEC) of Pakistan (5854/Federal/NRPU/R&D/HEC/2016).
Citation
Javed, M. (2021), "A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 2, pp. 360-372. https://doi.org/10.1108/MMMS-11-2019-0200
Publisher
:Emerald Publishing Limited
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