Natural Convection in a Linearly Heated Vertical Porous Annulus Under the Effect of Magnetic Field

Kiran, S.; Sankar, M.; Gangadharaiah, Y. H.; Dhananjayamurthy, B. V.

doi:10.1007/978-981-16-0942-8_50

Cited by 3 publications

(2 citation statements)

References 20 publications

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“…It is further shown that as the center of linear heating is shifted upwards, the fluid flow is moved to the right. Kiran et al (2021) studied natural convection in a linearly heated vertical porous annulus under the effect of magnetic field. It is found that the magnetic force plays a prime role in delaying the buoyant flow and the resultant thermal transport in the annulus.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Coupled Natural Convection and Surface Radiation in a Square Cavity With the Linearly Heated Side Wall(s)

Prasad¹,

Singh²,

Gupta³

2022

Front. Heat Mass Transf.

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The results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the uniformly heated bottom wall, linearly heated vertical side wall(s) and the adiabatic top wall is discussed. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., the Navier-Stokes Equation in the stream function -vorticity form and the Energy Equation are solved for a constant property fluid under the Boussinesq approximation. For discretization of these equations, the finite volume technique is used. For the radiation calculations, the radiosity-irradiation formulation is used and the shape factors are calculated by using the Hottel's crossed-string method. The effects of pertinent parameters like the Rayleigh Number (10 3 ≤ Ra ≤ 10 6 ) and the surface emissivity of walls (0.05 ≤ε≤ 0.85) are analyzed.

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Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Coupled Natural Convection and Surface Radiation in a Square Cavity With the Linearly Heated Side Wall(s)

Prasad¹,

Singh²,

Gupta³

2022

Front. Heat Mass Transf.

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“…For example, the stochastic model for rough surfaces have been recognised by Christensen [13]. Numerous investigators have considered this model to examine the impact of roughness for distinctive bearings along with porous medium, such as Bhat et al [14] for annular discs, Naduvinamani et al [15] for circular stepped plates, Syeda et al [16] for Elliptical Plates, Hanumagowda et al [17] for circular stepped plates, Biradar et al [18] for Curved Annular Circular Plates, Hanumagowda et al [19] for Conical Bearing, Patel et al [20] for long bearings, Sankar et al [21] for vertical annulus, Kiran et al [22] for porous annulus, Shimpi et al [23] for Curved Porous Annular Plates, and Niru et al [24] for Curved Porous Annular Plates considering the rotation of magnetic particles and slip velocity. All these authors studied the effect of roughness in presence of porous medium and concluded that the effect of radial (azimuthal) roughness pattern on the bearing surface decrease (increase) the pressure, load carrying capacity, and approach of squeeze film time whereas the permeability parameter decreases these squeeze film attributes as compared to a non-porous case.…”

Section: Introductionmentioning

confidence: 99%

Study of surface roughness with MHD and couple stress fluid on porous curved annular plates

Baksh

Naganagowda

2022

Acta Polytech

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The purpose of this article is to examine the effect of surface roughness on porous curved annular plates lubricated with couple stress fluid in the presence of magnetic field. The MHD-Stochastic Reynolds equation is derived using Christensen’s stochastic model and applied to predict the squeeze film characteristics of porous curved annular plates. The expressions for squeeze film pressure, load-carrying capacity, and squeeze film time are obtained analytically, the results are discussed for various values of operating parameters, and are plotted graphically. It is found that the squeeze film characteristics of porous curved annular plates are improved using a non-Newtonian fluid in the presence of an external magnetic field. The effect of roughness parameter is to increase (decrease) the squeeze film attributes for azimuthal (radial) roughness configuration as compared to the smooth case. Furthermore, the effect of permeability parameter is to decrease the pressure, load-carrying capacity, and squeeze-film time as compared to the non-porous case.

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RETRACTED: Mixed convective heat transfer in a power-law fluid in a square enclosure: Higher order finite element solutions

et al. 2023

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Incorporation of momentum gradients produced due to inertial motion of the lid along with the presence of temperature differences in the configuration make the physical problem more significant. The joint variation of momentum and thermal diffusion in diversified natural liquids is recognized as mixed convection. Valuable attention has been received by such a phenomenon in different areas of science and technology such as in wind current–based solar receivers, electronic instruments, control of emergency shutdown in reactors, thermal exchangers, oceanic currents, control of atmospheric pollution, and so on. So, the main focus is to contemplate hydrothermal characteristics of a power-law fluid contained in a square cavity with the movement of the upper lid and being thermally adiabatic. The other extremities are considered to be at rest, and the base wall is prescribed with uniform/non-uniform temperature distributions. The governing formulation of the problem is handled by executing a finite element approach. Hybrid meshing is performed for domain discretization, and weak variational formulation is utilized for formulation discretization. Second-degree polynomials are employed as the interpolation function, providing information about velocity and temperature distributions at boundary and intermediate nodes. The system of finalized non-linear equations is resolved by using the Paradiso software. The results for velocity and temperature distributions are attained comparatively for uniformly and non-uniformly heated profiles. The kinetic energy and average Nusselt number are also computed against flow concerning variables. From the attained graphical and tabular data, it is deduced that by increasing the Reynolds number, inertial forces dominate over buoyancy forces and the effect of lid movement is prominent on flow characteristics. It is also inferred that for the shear thickening case and for all values of the Reynolds number, the average Nusselt number shows a constant behavior.

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Natural Convection in a Linearly Heated Vertical Porous Annulus Under the Effect of Magnetic Field

Cited by 3 publications

References 20 publications

Numerical Investigation of Coupled Natural Convection and Surface Radiation in a Square Cavity With the Linearly Heated Side Wall(s)

Numerical Investigation of Coupled Natural Convection and Surface Radiation in a Square Cavity With the Linearly Heated Side Wall(s)

Study of surface roughness with MHD and couple stress fluid on porous curved annular plates

RETRACTED: Mixed convective heat transfer in a power-law fluid in a square enclosure: Higher order finite element solutions

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