Computational Fluid Dynamics Study on Forced Convective Heat Transfer Phenomena of Spheres in Power-law Liquids with Velocity Slip at the Interface

ABSTRACT

Numerical results on combined effects of the slip velocity, power-law fluid behavior index, Reynolds number, and Prandtl number on the forced convective heat transfer characteristics of single spheres in power-law liquids with velocity slip at the fluid-solid interface are reported on the basis of computational fluid dynamics approach. The governing conservation equations of the momentum and energy along with the appropriate boundary conditions are nondimensionalized using appropriate scaling parameters. These dimensionless equations are solved by a segregated approach using a finite difference method based simplified marker and cell algorithm implemented on a staggered grid arrangement in spherical coordinates. The detailed domain and grid independence studies along with appropriate validations are carried out to establish reliability and accuracy of the solver. Further extensive new results obtained in the range of conditions as: Reynolds number, 0.1–200; dimensionless slip number, 0.01–100; power-law index, 0.5–1.6; and Prandtl number, 1–100. The effects of these dimensionless parameters on the isotherm contours and local and average Nusselt numbers are thoroughly delineated. Finally, on the basis of present numerical results, an empirical correlation for the average Nusselt numbers of single spheres in power-law liquids with velocity slip at the interface is proposed.

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Notes on contributors

Rahul Ramdas Ramteke

Rahul Ramdas Ramteke is a research scholar in Department of Chemical Engineering of Indian Institute of Technology Guwahati, India. For his doctoral thesis, he is working on “Numerical Investigation on Effects of Slip Velocity on Momentum and Heat Transfer Phenomena of Single and Multiple Spherical Particles with Velocity Slip at the Interface” under the supervision of Dr. Nanda Kishore.

Nanda Kishore

Nanda Kishore is an associate professor in the Department of Chemical Engineering of Indian Institute of Technology Guwahati, India. He obtained his bachelors' degree in chemical engineering from University College of Technology, Osmania University, India in 2001. Then he completed his masters' and doctoral degrees in chemical engineering from Indian Institute of Technology Kanpur in 2003 and 2008, respectively. Before joining the department of chemical engineering of Indian Institute of Technology Guwahati in 2011, he was “Brunel Research Fellow” for the period 2009–2011 in University of Southampton (United Kingdom); and was assistant professor of the Department of Chemical Engineering of National Institute of Technology Warangal (India) during 2008–2009. Till date, he has authored over 50 internationally reputed refereed journal articles. He is a recipient of prestigious IEI Young Engineers Award for 2015 in Chemical Engineering Division awarded by the Institution of Engineers (India). In 2016, he received Young Scientist Research Award from Department of Atomic Energy (DAE), Board of Research in Nuclear Sciences, Government of India.