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Research Papers: Natural and Mixed Convection

Transient Free Convection Flow Past an Infinite Moving Vertical Cylinder in a Stably Stratified Fluid

[+] Author and Article Information
R. K. Deka, A. Paul

Department of Mathematics,  Gauhati University, Guwahati 781014, Indiarkdgu@yahoo.com

J. Heat Transfer 134(4), 042503 (Feb 15, 2012) (8 pages) doi:10.1115/1.4005205 History: Received March 03, 2011; Revised September 20, 2011; Published February 15, 2012; Online February 15, 2012

This paper presents an analytical treatment for the unsteady one-dimensional natural convective flow past an infinite moving vertical cylinder in the presence of thermal stratification. Exact solutions of the dimensionless unsteady coupled linear governing equations are obtained, in terms of Bessel functions by the Laplace transform technique, for the tractable case of unit Prandtl number. Numerical computations for velocity, temperature, skin-friction, and Nusselt number are made for various set of physical parameters and presented in graphs. Due to the presence of thermal stratification, the fluid velocity and temperature approach steady state, whereas the corresponding flow in an unstratified fluid does not. The steady state is attained at smaller times as the stratification increases. Furthermore, in the presence of stratification, the skin-friction and Nusselt number approaches fixed value as time progresses, while for unstratified fluid, there is a gradual decrease as time increases.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

The physical model and co-ordinate system

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Figure 2

Effect of stratification S on velocity profiles for Gr = 5 and t = 1.5

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Figure 3

Effect of Grashof number Gr on velocity profiles for S = 0.4 and t = 1.5

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Figure 4

Effect of stratification S on temperature profiles for Gr = 5 and t = 1.5

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Figure 5

Effect of Grashof number Gr on temperature profiles for S = 0.2 and t = 1.5

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Figure 6

Velocity profiles against time t for Gr = 5, R = 1.6

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Figure 7

Effect of stratification S on skin-friction for Gr = 5

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Figure 8

Effect of stratification S on Nusselt number for Gr = 5

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Figure 9

Effect of Grashof number Gr on skin-friction for S = 0.2

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Figure 10

Effect of Grashof number Gr on Nusselt number for S = 0.2

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Figure 11

Velocity profiles against time t for S = 0.2 and R = 1.6

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Figure 12

Temperature profiles against time for Gr = 5 and R = 1.6

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Figure 13

Temperature profiles against time for S = 0.2 and R = 1.6

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