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research-article

Numerical Investigation of Natural Convection Heat Transfer from a Stack of Horizontal Cylinders

[+] Author and Article Information
Subhasisa Rath

School of Energy Science & Engineering Indian Institute of Technology Kharagpur Kharagpur, West Bengal, India-721302
subhasisa.rath@gmail.com

Sukanta K. Dash

Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India-721302
sdash@mech.iitkgp.ernet.in

1Corresponding author.

ASME doi:10.1115/1.4040954 History: Received September 22, 2017; Revised July 13, 2018

Abstract

Natural convection heat transfer over horizontal solid cylinders has been studied numerically by varying the Rayleigh number in the range of (10^4<=Ra<=10^8) and (10^10<=Ra<=10^13) for both laminar and turbulent flows, respectively. The computations were carried out for three different geometries of 3, 6 and 10 cylinders in a stack arranged in a triangular manner having same characteristic length scale. The present numerical investigation on natural convention is able to capture a very interesting flow pattern and temperature field over the stack of horizontal cylinders which has never been reported in the literature so far. Visualization of plume structure over the horizontal cylinders has also been obtained pictorially in the present work. From the numerical results, it has been observed that the total heat transfer is marginally higher for 3 cylinders stack in the laminar range. In contrast, for turbulent flow, starting from Ra=10^10, heat transfer for 6 cylinders case is higher but when Ra exceeds 5×10^11 heat transfer for 10 cylinders stack is marginally higher. Whereas, average surface Nusselt number is higher for 3 cylinders stack compared to 6 and 10 cylinders cases for all range of Ra in both laminar and turbulent regime. A correlation for average Nusselt number has also been developed as a function of Rayleigh number which may be useful for researchers and industrial purposes.

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