Transient analysis of third-grade viscoelastic nanofluid flow external to a heated cylinder with buoyancy effects

Hiremath, A; Reddy, GJ; Beg, OA

Abstract

Nanotechnology is rapidly embracing numerous areas of manufacturing and process
engineering. New types of nanomaterials are being exploited to improve, for example, coating
integrity, anti-corrosion characteristics and other features of fabricated components. Motivated
by these developments, in the current study a mathematical model is developed for unsteady
free-convective laminar flow of third-grade viscoelastic fluid (doped with nano-particles) from
a semi-infinite vertical isothermal cylinder, as a model of thermal coating flow of a pipe
geometry. Non-Newtonian behavior is simulated with the thermodynamically robust third
grade Reiner-Rivlin model which accurately represents polymer fluids. Nanoscale effects are
analyzed with the Buongiorno two-component nanofluid model. The governing equations
comprise a set of highly coupled, nonlinear, multi-degree partial differential equations
featuring viscoelastic and nanofluid parameters. An implicit Crank-Nicolson numerical scheme
is implemented to solve the emerging nonlinear problem with appropriate initial and boundary
conditions. Detailed graphical plots for velocity, temperature and nano-particle volume fraction
are presented for a range of different parameters (i.e., third-grade fluid parameter, Brownian
motion parameter, thermophoretic parameter, buoyancy ratio parameter, Lewis number).
Additionally, distributions of the heat transfer coefficient, skin friction and Sherwood number
at the cylinder surface are visualized. Furthermore, streamlines, isotherms and nano-particle
volume fraction contour plots are included for variation of the third-grade parameter. Contour
plots for the third-grade nanofluid flow are found to deviate significantly from those
corresponding to Newtonian nanofluids. Validation of the numerical solutions with earlier
studies is also included.

KEYWORDS: Third-grade viscoelastic nanofluid, Thermal convection, Cylinder, Thermophoresis,
Brownian motion, Implicit numerical method, Contour plots, Industrial coating.

Citation

Hiremath, A., Reddy, G., & Beg, O. (2019). Transient analysis of third-grade viscoelastic nanofluid flow external to a heated cylinder with buoyancy effects. Arabian Journal for Science and Engineering, 44, 7875-7893. https://doi.org/10.1007/s13369-019-03933-4

• Journal Article Type: Article
• Acceptance Date: May 20, 2019
• Online Publication Date: May 29, 2019
• Publication Date: Sep 1, 2019
• Deposit Date: May 20, 2019
• Publicly Available Date: May 29, 2020
• Journal: Arabian Journal for Science and Engineering
• Electronic ISSN: 2193-567X
• Publisher: Springer Verlag
• Volume: 44
• Pages: 7875-7893
• DOI: https://doi.org/10.1007/s13369-019-03933-4
• Publisher URL: https://doi.org/10.1007/s13369-019-03933-4
• Related Public URLs: https://link.springer.com/journal/13369
• Additional Information: Access Information : This is a post-peer-review, pre-copyedit version of an article published in Arabian Journal for Science and Engineering. The final authenticated version is available online at: http://dx.doi.org/10.1007/s13369-019-03933-4