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research-article

A Numerical Investigation of Transient Natural Convection Heat Transfer to CO2 in the Supercritical Region

[+] Author and Article Information
G Janardhana Reddy

Department of Mathematics, School of Physical Sciences, Central University of Karnataka, Kalaburagi-585367, India
gjr@cuk.ac.in

Hussain Basha

Department of Mathematics, School of Physical Sciences, Central University of Karnataka, Kalaburagi-585367, India
hussainbmaths@gmail.com

Venkata Narayanan N. S.

Department of Chemistry, School of Chemical Sciences, Central University of Karnataka, Kalaburagi-585367, India
nsvenkat@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4039905 History: Received August 04, 2017; Revised March 22, 2018

Abstract

Present research article investigates the transient laminar free convective supercritical carbon dioxide flow past a semi-infinite vertical cylinder using numerical methods. Two new thermodynamic models for the supercritical fluid (SCF) have been considered. Based on these proposed models, for supercritical carbon dioxide two new equations for thermal expansion coefficient is obtained on the basis of Redlich-Kwong equation of state (RK-EOS) and Van der Waals equation of state (VW-EOS). Based on the calculated values of thermal expansion coefficient, it is shown that not only RK-EOS is closer to experimental values but also gives greater accuracy when compared to VW-EOS validating RK-EOS as suitable model for predicting natural convective properties of carbon dioxide under supercritical condition. The governing equations for the SCF flow over a vertical cylinder are obtained and they are unsteady, non-linear and coupled. Since the equations are highly complex, it is clear from the available literature survey that, there are no analytical or direct numerical techniques existed to simplify the fluid flow equations and hence, they are solved using the computational techniques such as Crank-Nicolson implicit finite difference scheme. Numerical simulations are performed for carbon dioxide in the region of its critical point. Results in subcritical, supercritical and near critical regions are shown graphically and discussed for different physical parameters. From the obtained graphical data, it is clear that, the steady-state time increases for the increasing values of reduced temperature and reduced pressure for carbon dioxide in supercritical region.

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