Analysis of magnetohydrodynamics transient flow in a horizontal annular duct

Maurya, Jagdish Prasad; Yadav, Shyam Lal; Singh, A. K.

doi:10.1007/s40435-020-00611-4

Cited by 2 publications

(2 citation statements)

References 23 publications

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“…For more detailed concerning these applications the researchers can refer to the studies [1][2][3][4][5][6][7]. The increasing volume of the study in this zone has been extensively discussed by a number of books, like as, Ingham and Pop [8], Vafai [9], Pop and Ingham [10], Vadesz [11], and Nield and Bejan [12], Maurya et al [13] and Oni [14]. In porous media, most of the work related to convective heat transfer is based on Darcy's law.…”

Section: Introductionmentioning

confidence: 99%

Influence of Heat Source/Sink on Free Convection in Annular Porous Region

Yadav¹,

Singh²

2021

IJHT

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The significant interpretation of this model is to explore the influence of temperature-dependent heat source/sink on laminar free-convective flow in an annular porous region such as petroleum engineering, thermal technique and groundwater hydrology. For a unified solution of the Brinkman-Darcy model, the regulatory equations solved analytically by applying the variation of parameter technique in terms of Bessel's functions for the heat source and sink. Moreover, we have investigated the Variations of Darcy number, Heat source/sink and viscosity ratio in the presence of isothermal and constant heat flux sequentially. As a result, we received the critical value of the velocity for the radii ratio (R = 2.05 and 2.92) in both the cases of source and sink (S = 1.0 and Si = 0.1) respectively which is exhibited through the graphs. Further, the numerical outcomes present of the skin friction including volume flow with annular gap by the graphs as well as tables.

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Section: Introductionmentioning

confidence: 99%

Influence of Heat Source/Sink on Free Convection in Annular Porous Region

Yadav¹,

Singh²

2021

IJHT

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“…In such a situation, all the obtained expressions are especially dependent on time factors. Recently, two investigations have been reported by Maurya et al 30,31 based on the transient flow problem of one-directional electrically conducting fluid flow passing within a circular cylinder as well as annular duct both, in the presence of the normal magnetic field. Most recently, Dwivedi and Singh 32,33 presented on steady hydromagnetic flow between straight up cylinders in annular zone in the presence of heat source/sink with Hall current and its another work based on transient magnetohydrodynamic (MHD) flow in an infinite straight up cylinder.…”

Section: Introductionmentioning

confidence: 99%

Significance of time‐dependent magnetohydrodynamic transient free convective flow in vertical annuli: An analytical approach with the finite Hankel transform

Maurya

Singh

2021

Heat Trans

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An analytical study is accomplished by using the Finite Hankel Transform Technique for the variation of the temperature and the velocity profile with several nondimensional parameters. In this problem, an electrically conducting fluid has been considered in the vertical concentric annulus, with a perpendicular radial magnetic field. Furthermore, a closed and exact type of expression for the velocity and the temperature are received in the form of Bessel functions of both kinds (first and second). The impact of emerging parameters in this model, such as time, Hartmann number, Prandtl number, and the annular gap between the cylinders, is discussed through graphs, whereas the numerical values of the skin friction, mass flux, and the Nusselt number are given in the tabular form. As a consequence of this, it is detected that the velocity and temperature distributions are increasing continuously with an enhanced time scale. Eventually, it gains its steady state very quickly. Moreover, the impact of the Prandtl number and the Hartmann number leads to a decrease in the velocity profiles.

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Analysis of magnetohydrodynamics transient flow in a horizontal annular duct

Cited by 2 publications

References 23 publications

Influence of Heat Source/Sink on Free Convection in Annular Porous Region

Influence of Heat Source/Sink on Free Convection in Annular Porous Region

Significance of time‐dependent magnetohydrodynamic transient free convective flow in vertical annuli: An analytical approach with the finite Hankel transform

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