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

Deka, Rudra Kanta; Paul, Ashish

doi:10.1115/1.4005205

Cited by 14 publications

(19 citation statements)

References 19 publications

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“…Some other related studies on free convection flow in a cylinder are given in [ 26 – 30 ]. In recent investigations, Deka et al [ 31 ] analyzed transient free convection flow past an accelerated vertical cylinder in a rotating fluid whereas Deka and Paul [ 32 ] investigated unsteady one-dimensional free convection flow over an infinite moving vertical cylinder in the presence of thermal stratification. They used Laplace transform technique and obtained the exact solutions, expressed them in the forms of complicated integrals.…”

Section: Introductionmentioning

confidence: 99%

Natural convection heat transfer in an oscillating vertical cylinder

et al. 2018

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This paper studies the heat transfer analysis caused due to free convection in a vertically oscillating cylinder. Exact solutions are determined by applying the Laplace and finite Hankel transforms. Expressions for temperature distribution and velocity field corresponding to cosine and sine oscillations are obtained. The solutions that have been obtained for velocity are presented in the forms of transient and post-transient solutions. Moreover, these solutions satisfy both the governing differential equation and all imposed initial and boundary conditions. Numerical computations and graphical illustrations are used in order to study the effects of Prandtl and Grashof numbers on velocity and temperature for various times. The transient solutions for both cosine and sine oscillations are also computed in tables. It is found that, the transient solutions are of considerable interest up to the times t = 15 for cosine oscillations and t = 1.75 for sine oscillations. After these moments, the transient solutions can be neglected and, the fluid moves according with the post-transient solutions.

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Section: Introductionmentioning

confidence: 99%

Natural convection heat transfer in an oscillating vertical cylinder

et al. 2018

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“…Crane 4 addressed the boundary layer laminar flow over a circular cylinder where the motion of the cylinder causes the flow in a stationary fluid. Analytical approach to the unsteady free convection of viscous fluid flow past vertical cylinder was addressed by Deka and Paul 5,6 and Deka et al 7 Lien et al 8 addressed the free convective laminar flow past a moving vertical cylinder considering mass transfer and heat at flux at the surface. Agrawal et al 9 extended the work of Lien et al 8 by considering the magnetic field effect over a vibrating cylinder.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic unsteady natural convective flow in a porous medium over a moving infinite cylinder

Paul

2022

Heat Trans

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The effect of the magnetic field on the unsteady natural convective one-dimensional laminar flow of an incompressible viscous and slightly electrically conducting fluid over a vertical cylinder is investigated analytically. The cylinder is assumed to be embedded in a porous medium, and it moves with a uniform velocity along the vertically upward direction. The boundary layer flow equations are converted to a nondimensional form using appropriate non-dimensional parameters, and the closed-form solutions are obtained using the Laplace transform method. Fluid velocity depends on radial distance, time, magnetic parameter, Grashof number, permeability parameter, and Prandtl number. Graphical and tabulated results of the fluid velocity profile and shear stress based on the analytical solutions are presented and discussed. The analytical solution reveals that the unsteady fluid velocity tends to a steady state at a large time. The present study demonstrates that increased porosity leads to enhancement in the fluid velocity, whereas the transverse magnetic field resists the fluid velocity. Furthermore, the absolute value of shear stress decreases with a decrease in porosity of the medium or an increase in magnetic field effect.

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“…In addition, Shapiro and Fedorovich [19] presented an analytical solution for laminar natural convection flows of stably stratified fluid along vertical plates and cylinders subject to periodic surfacetemperature variations. In another article, Deka and Paul [21] investigated the transient free convection flow past an infinite moving vertical cylinder in a stably stratified fluid. Other well-documented results on effect of stratified fluid in convection fluid flow include the works of Shapiro and Fedorovich [22], Deka and Bhattacharya [23] and Magyari et al [24].…”

Section: Introductionmentioning

confidence: 99%

“…In another article, Deka and Paul [21] investigated the transient free convection flow past an infinite moving vertical cylinder in a stably stratified fluid. Other well-documented results on effect of stratified fluid in convection fluid flow include the works of Shapiro and Fedorovich [22], Deka and Bhattacharya [23] and Magyari et al [24].…”

Section: Introductionmentioning

confidence: 99%

The combined effects of anisotropic porous medium and stably stratified fluid on free convective flow through an annulus

Jha

Musa

2018

Journal of Taibah University for Science

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This paper documents the semi-analytical results for transient natural convection fluid flow between two concentric vertical cylinders of infinite lengths in the presence of anisotropic porous medium and stratified fluid. The solutions for the time-dependent coupled second order partial differential equations modelling the flow formation are obtained by using trio-methods: Laplace transform techniques, a numerical procedure based on the Riemann Sum Approximation method and D'Alembert method. Line graphs and contour maps for the fluid velocity and temperature profiles are presented for different physical parameters of interest featuring in the solutions. The inclusion of the stratification and anisotropic parameters in the model has been found to aid the regulation of the fluid flow. Furthermore, from the numerical simulation conducted, it is found that for some saturated stratified fluids, the steady and transient state velocities (as well as the temperatures of the fluid) coincide at large time.

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

Cited by 14 publications

References 19 publications

Natural convection heat transfer in an oscillating vertical cylinder

Natural convection heat transfer in an oscillating vertical cylinder

Magnetohydrodynamic unsteady natural convective flow in a porous medium over a moving infinite cylinder

The combined effects of anisotropic porous medium and stably stratified fluid on free convective flow through an annulus

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