Transient natural convection along vertical cylinder with Heat and Mass transfer

Ganesan, P.; Rani, H. P.

doi:10.1007/s002310050214

Cited by 66 publications

(40 citation statements)

References 15 publications

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“…The finite difference Eqs. (14), (15) and (16) at every internal nodal point on a particular i-level constitute a tri-diagonal system of equations. Such a system of equations is solved by Thomas algorithm (Carnahan et al [15]).…”

Section: Numerical Solution Of the Problemmentioning

confidence: 99%

A numerical study of the Dufour and Soret effects on unsteady natural convection flow past an isothermal vertical cylinder

Rani

Kim

2009

Korean J. Chem. Eng.

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The Dufour and Soret effects on the unsteady laminar free convective flow with mass transfer flow past a semi-infinite isothermal vertical cylinder were studied numerically. The governing partial differential equations were converted into a non-dimensional form and solved numerically by applying a Crank-Nicolson type of implicit finitedifference method with a tri-diagonal matrix manipulation and an iterative procedure. For the hydrogen-air mixture, which is a non-chemical reacting fluid, the profiles of the unsteady dimensionless velocity, temperature and concentration are shown graphically for the different values of thermal and mass Grashof numbers, thermal diffusion parameters (Soret numbers) and diffusion-thermo parameters (Dufour numbers). Finally, the simulated values of the average skin-friction coefficient, the average Nusselt number and the average Sherwood number are presented. The numerical results reveal that for an increasing Soret number or decreasing Dufour number, the time to reach the temporal maximum and the steady-state decreases for the flow variables. As the Soret number increases or the Dufour number decreases, both the skin friction and the Sherwood number increase, whereas the Nusselt number decreases.

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Section: Numerical Solution Of the Problemmentioning

confidence: 99%

A numerical study of the Dufour and Soret effects on unsteady natural convection flow past an isothermal vertical cylinder

Rani

Kim

2009

Korean J. Chem. Eng.

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“…This iterative procedure is repeated for many time steps until the steady-state solution is reached. The steady-state solution is assumed to have been reached when the absolute difference between the values of velocity as well as temperature at two consecutive time steps is less than 5 …”

Section: Numerical Proceduresmentioning

confidence: 99%

“…Lee et al [4] investigated the similar problem along slender vertical cylinders and needles for the power-law variation in the wall temperature. In general, Ganesan and Rani [5] have investigated the unsteady natural convection flow over a vertical cylinder with variable heat and mass transfer using the finite difference method. Recently, Rani and Kim [6] investigated the unsteady effects for the similar problem with temperature dependent viscosity.…”

Section: Introductionmentioning

confidence: 99%

MHD-Conjugate Heat Transfer Analysis for Transient Free Convective Flow Past a Vertical Slender Hollow Cylinder

Rani

Reddy²

2012

AJCAM

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In this paper the effects of magnetic field and conduction on the transient free convective boundary layer flow over a vertical slender hollow circular cylinder with the inner surface at a constant temperature are investigated. The transformed dimensionless governing equations for the flow and conjugate heat transfer are solved by using the implicit finite difference scheme. For the validation of the current numerical method heat transfer results for a Newtonian fluid case where the magnetic effect and conduction is zero are compared with those available in the existing literature, and an excellent agreement is obtained. Numerical results for the transient flow variables, average wall shear stress and average heat transfer rate are shown graphically. In all these profiles it is observed that the times needed to reach the steady-state and the temporal maximum increases as the magnetic parameter or conjugate heat transfer parameter increases.

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“…Velusamy and Garg [4] studied natural convection adjacent to a heat generating vertical cylinder. Ganesan and Rani [5] presented a numerical solution for the transient natural convection flow over a vertical cylinder under the combined buoyancy effect of heat and mass transfer. Numerical analysis of two-dimensional unsteady natural convective flow past semi-infinite vertical cylinder with heat and mass transfer under different physical situations was studied by Ganesan and Loganathan [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Unsteady Natural Convection Flow past an Infinite Cylinder with Thermal and Mass Stratification

Paul

Deka

2017

International Journal of Engineering Mathematics

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This paper presents an analytical solution of unsteady one-dimensional free convection flow past an infinite vertical circular cylinder in a stratified fluid medium. The dimensionless coupled linear governing partial differential equations are solved by Laplace transform technique for unit Prandtl number and Schmidt number. Effects of various physical parameters are presented with graphs. Numerical values of boundary layer thickness for different parameters are presented in table. Due to the effects of thermal and mass stratifications, the velocity, temperature, and skin friction, Nusselt number shows oscillatory behaviour at smaller times and then reaches steady state at larger times.

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Transient natural convection along vertical cylinder with Heat and Mass transfer

Cited by 66 publications

References 15 publications

A numerical study of the Dufour and Soret effects on unsteady natural convection flow past an isothermal vertical cylinder

A numerical study of the Dufour and Soret effects on unsteady natural convection flow past an isothermal vertical cylinder

MHD-Conjugate Heat Transfer Analysis for Transient Free Convective Flow Past a Vertical Slender Hollow Cylinder

Unsteady Natural Convection Flow past an Infinite Cylinder with Thermal and Mass Stratification

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