Transient free-convective flow of reactive viscous fluid in a vertical channel

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

doi:10.1016/j.icheatmasstransfer.2011.02.001

Cited by 27 publications

(11 citation statements)

References 18 publications

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“…The fluid in the present configuration is incompressible and the physical properties are assumed to be constant excluding density in the buoyancy term. Following Jha et al [3][4][5] and neglecting the reacting viscous fluid consumption, the governing equations under the Boussinesq's approximation can be written as…”

Section: Mathematical Analysismentioning

confidence: 99%

“…They concluded that the transport of heat and mass transfer within the reactor is controlled by diffusion or natural convection. Recently, Jha et al [3][4][5][6] investigated unsteady natural convection flow of reactive viscous fluid in a vertical channel as well as vertical tube and the reaction is exothermic under Arrhenius kinetics, neglecting the consumption of the materials. On the other hand the study of heat generation/absorption effects is also important in view of several physical problems, such as fluids undergoing endothermic or exothermic chemical reactions.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity

Uwanta

Hamza

2014

International Journal of Chemical Engineering

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This study investigates the unsteady natural convection and mass transfer flow of viscous reactive, heat generating/absorbing fluid in a vertical channel formed by two infinite parallel porous plates having temperature dependent thermal conductivity. The motion of the fluid is induced due to natural convection caused by the reactive property as well as the heat generating/absorbing nature of the fluid. The solutions for unsteady state temperature, concentration, and velocity fields are obtained using semi-implicit finite difference schemes. Perturbation techniques are used to get steady state expressions of velocity, concentration, temperature, skin friction, Nusselt number, and Sherwood number. The effects of various flow parameters such as suction/injection ( ), heat source/sinks (S), Soret number (Sr), variable thermal conductivity ( ), Frank-Kamenetskii parameter ( ), Prandtl number (Pr), and nondimensional time ( ) on the dynamics are analyzed. The skin friction, heat transfer coefficients, and Sherwood number are graphically presented for a range of values of the said parameters.

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Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity

Uwanta

Hamza

2014

International Journal of Chemical Engineering

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“…Profiles are found negative near the cooled wall for all negative values of the buoyancy ratio parameter. Furthermore, the transient free convective flow within vertical parallel plates, vertical channels, and tubes has been presented by considering isothermal heating and reactive viscous flow (Jha and Ajibade 8 ; Jha et al 9 ). They showed that the steady‐state solutions and transient solutions take place at large value of time.…”

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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“…The importance of a natural convective flow in the case of internal heat generation /absorption fluid through a porous vertical channel has been well discussed in [5], [12] and [22]. In particular, it is pointed out in [12] that the study of such flow has recently been well recognized as a result of the fact that an appreciable increase in temperature difference may cause the volumentric heat generation/absorption to have a great effect on the heat transfer and hence on the flow.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, it is pointed out in [12] that the study of such flow has recently been well recognized as a result of the fact that an appreciable increase in temperature difference may cause the volumentric heat generation/absorption to have a great effect on the heat transfer and hence on the flow. Variouse researchers have carried out interesting studies involving internal heat generating fluid.…”

Section: Introductionmentioning

confidence: 99%

An Oscillatory Radiating Hydromagnetic Internal Heat Generating Fluid Flow Through a Vertcal Porous Channel with Slip and Temperature Jump

Titiloye

Gbadeyan

Adeosun

2018

International Journal of Applied Mechanics and Engineering

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The present study concerns the natural convective heat generating/absorbing, radiative magnetohydrodynamic, oscillatory fluid flow through a vertical porous channel with slip and temperature jump. The effect of Joule dissipation is taken into consideration while it is assumed that the flow is fully developed. The differential transforms method(DTM) is employed to solve the system of non-linear ordinary differential equations that is obtained from the non-linear partial differential equations governing the flow. Semi analytical solutions of the steady and unsteady part of the flow in the slip flow regime through a vertical porous channel are obtained. The effects of various flow parameters on the velocity and temperature profiles as well as Nusselt and skin friction are presented graphically and discussed. An excellent agreement between the results of this article and those available in the literature validated the presented approach.

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Transient free-convective flow of reactive viscous fluid in a vertical channel

Cited by 27 publications

References 18 publications

Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity

Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity

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

An Oscillatory Radiating Hydromagnetic Internal Heat Generating Fluid Flow Through a Vertcal Porous Channel with Slip and Temperature Jump

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