Transient free-convective flow of reactive viscous fluid in vertical tube

Jha, Basant K.; Samaila, Ahmad K.; Ajibade, Abiodun O.

doi:10.1016/j.mcm.2011.07.008

Cited by 16 publications

(7 citation statements)

References 20 publications

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“…where A 1 and A 2 are arbitrary constants, which can be determined with the help of boundary condition (13). Now, applying the boundary condition from Equation (13) into Equation (14) implies that Y S pPrr Therefore,…”

Section: Heat Sourcementioning

confidence: 99%

“…Singh and Paul 12 obtained the exact solution for the transient natural convective flow of an incompressible, viscous liquid in two vertical walls. Jha et al 13 acquired the transient influence on the reactive viscous liquid in a vertical tube by using numerical schemes as well as the steady‐state solution with the perturbation technique. Further studies involving transient free convective flows under different physical configurations have been reported by several researchers, see, for example, Jha and Apere, 14 Deka and Paul, 15 and Deka et al 16 The hydromagnetic transient flow in a vertical concentric annulus due to the natural convection with adiabatic and isothermal boundaries has been analyzed by Jha and Yusuf 17 .…”

Section: Introductionmentioning

confidence: 99%

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Transient free convective hydromagnetic flow in an infinite vertical cylinder with Hall current and heat source/sink

Dwivedi

Singh

2020

Heat Trans

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The analysis of hydromagnetic flow has been a concern of consideration for research scientists and engineers. In this treatise, the unsteady hydromagnetic free convective flow of an incompressible, viscous, and electrically conducting fluid and heat transfer in a vertical cylinder with Hall effects and transverse magnetic field, in the presence of heat source and sink, is studied. Exact solutions of dimensionless unsteady governing equations are obtained by using the Laplace transform technique. Transient fluid velocity and temperature field are depicted by graphs, whereas heat transfer rate, mass flux, and skinfriction are computed in a tabular form for different physical parametric values, such as the source/sink parameter, Hall current parameter, Prandtl number, and Hartmann number. The valuable result from the investigation is that the Hall parameter slightly accelerates the fluid velocity and it provides resistance to the skin friction at the cylindrical surface. Moreover, it is noticeable that temperature as well as velocity enhances and finally gets to its steady state with time. To be noted, the Hall effects have been widely applied in numerous experimental engineering applications, such as constrictions of turbines, Hall accelerators, Hall sensors.

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Section: Heat Sourcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transient free convective hydromagnetic flow in an infinite vertical cylinder with Hall current and heat source/sink

Dwivedi

Singh

2020

Heat Trans

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“…The momentum and energy equations given by equations (5) and (6) are solved numerically using implicit finite difference method. The procedure involves discretization of the transport equations (5) and (6) into the finite difference equations at the grid point (i, j).…”

Section: Numerical Solutionmentioning

confidence: 99%

“…Many papers concerned with the problem of transient free-convective flow in channels have been published in the literature. For example, the transient free-convective flow of an incompressible viscous fluid is considered in different works among which are: Singh and Paul, 1 Narahari et al, 2 Jha et al, 3 Narahari, 4 Paul et al, 5 and Jha et al 6 In addition, Jha et al, 7 Ghosh et al, 8 Neetu and Singh, 9 Das et al, 10 Uwanta and Hamza, 11 and Ahmed 12 considered the problem of transient free-convective flow in porous channels in the literature.…”

Section: Introductionmentioning

confidence: 99%

Effects of suction-injection-combination (SIC) on transient free-convective-radiative flow in a vertical porous channel

Jha

Iro

Joseph

2016

Proceedings of the Institution of Mechanical Engineers, Part E:

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The effect of suction/injection on transient free-convective flow bounded by two infinite vertical parallel porous plates in the presence of thermal radiation is investigated numerically as well as analytically. The transient mathematical model has been solved using the implicit finite difference method while the steady state version of the physical situation has been solved using perturbation method. During the course of numerical computation, an excellent agreement was found between transient solution at large value of time and steady state solution. In addition, it was found that the time required to reach steady state is directly proportional to the Prandtl number of the working fluid for fixed values of other controlling parameters.

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“…Free convection within two coaxial vertical cylinders partly loaded with porous corporeality has been inquired by Paul and Singh, 14 who observed that the velocity is influenced by the shear stress jump condition at the interface. The transient free convective flow within a vertical porous annulus has been handled by Jha et al 15 Using the perturbation technique, they have found the steady‐state solution for the velocity, temperature, skin friction, as well as the Nusselt number. Also, the nonlinear momentum and energy equations are solved by the implicit finite difference technique.…”

Section: Introductionmentioning

confidence: 99%

Transient free convective flow through a vertical cylinder filled with a porous material

Sarveshanand¹,

Singh

2020

Heat Trans

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This article aims to explore the impressive impact of emerging parameters on transient fully evolved free convective flow inside a vertical cylinder containing a porous material. The mathematical formulation of the model related to the considered physical circumstance is presented under compatible boundary conditions. Closed-form solutions are received for the velocity field, the temperature distribution, mass flux, skin friction, and the Nusselt number in terms of Bessel functions and modified Bessel functions of the first kind. Impressive effects of parameters such as the Darcy number Da, Prandtl number Pr, viscosity ratio M, and also time t on both the velocity and temperature distribution have been explored employing graphs and tables. It is irradiated by analysis that flow erection, heat transfer rate, skin friction, and mass flux are admirably impacted by the Prandtl number, the Darcy number, viscosity ratio parameter, and time. It is found that both the velocity and temperature field profiles rise with the rising value of time and ultimately attain their steady state. Moreover, the Prandtl number and the viscosity ratio parameter reduce the velocity profiles, while the reverse phenomenon occurs with the Darcy number. K E Y W O R D S Darcy number, laminar flow, natural convection, porous medium

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Transient free-convective flow of reactive viscous fluid in vertical tube

Cited by 16 publications

References 20 publications

Transient free convective hydromagnetic flow in an infinite vertical cylinder with Hall current and heat source/sink

Transient free convective hydromagnetic flow in an infinite vertical cylinder with Hall current and heat source/sink

Effects of suction-injection-combination (SIC) on transient free-convective-radiative flow in a vertical porous channel

Transient free convective flow through a vertical cylinder filled with a porous material

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