Magnetized supercritical third-grade nanofluid flow from a vertical cylinder using a Crank-Nicolson implicit scheme

Hiremath, A; Reddy, GJ; Basha, H; Narayanan, NSV; Beg, OA

Abstract

The current study investigates the supercritical convective radiative buoyancy-driven flow
and heat transfer in external coating flow of an electrically conducting viscoelastic thirdgrade
nanofluid from hotmoving /stationary cylinderunder constant radial magnetic field. A new
computational thermodynamic model has been proposedto study the supercritical behaviour of
thirdgrade aqueous nanofluid in terms of supercritical water (SCW). The Redlich–Kwong equation
2
of state (RK-EOS) has been deployed to calculatethermal expansion coefficient for free convective
flow of supercritical nanofluid in terms of temperature, compressibility factor and pressure. A
validation test has been conducted for RK-EOS with available experimental results. A well-tested
conditionally stable Crank-Nicolson finite difference scheme has been implemented to obtain
numerical solutions for the transformed dimensionless coupledconservation equations.Graphical
results for flow variables, heat transfer and skin-friction coefficient distributions are presented for
variation of Nanoscale, rheological, magnetic, radiative and thermodynamic parameters. Transient
velocity is reduced whereas temperature is elevated with amplified values of third-grade fluid
parameter, reduced pressure, reduced temperature, and decreased values of volume fraction of
nanofluid for a stationary cylinder under supercritical conditions. Validation of special cases of
the model computed with the Crank Nicolson method is conducted against previously published
results. Important applications of the current study include nuclear reactor vessels, deposition of
smart (functional magnetic) nano-coatings and solar collector energy systems.

Citation

Hiremath, A., Reddy, G., Basha, H., Narayanan, N., & Beg, O. (2022). Magnetized supercritical third-grade nanofluid flow from a vertical cylinder using a Crank-Nicolson implicit scheme. Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2022.2103207

• Journal Article Type: Article
• Acceptance Date: Jul 12, 2022
• Publication Date: Aug 10, 2022
• Deposit Date: Jul 26, 2022
• Publicly Available Date: Aug 11, 2023
• Journal: Waves in Random and Complex Media
• Print ISSN: 1745-5030
• Publisher: Taylor and Francis
• DOI: https://doi.org/10.1080/17455030.2022.2103207
• Publisher URL: https://doi.org/10.1080/17455030.2022.2103207
• Related Public URLs: https://www.tandfonline.com/journals/twrm20
• Additional Information: Additional Information : This is an Accepted Manuscript of an article published by Taylor & Francis in Waves in Random and Complex Media on 10th August 2022, available at: http://www.tandfonline.com/10.1080/17455030.2022.2103207