Transient mixed convective flow of reactive viscous fluid in vertical tube

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

doi:10.1007/s13370-013-0160-8

Cited by 5 publications

(7 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

“…We used forward difference formulas for all time derivatives and approximated both the second and first derivatives with second order central differences. The semi-implicit finite difference equation corresponding to (4) to (6) is as follows:…”

Section: Numerical Solutionsmentioning

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%

See 2 more Smart Citations

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

Uwanta

Hamza

2014

International Journal of Chemical Engineering

View full text Add to dashboard Cite

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.

show abstract

Section: Mathematical Analysismentioning

confidence: 99%

Section: Numerical Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Uwanta

Hamza

2014

International Journal of Chemical Engineering

View full text Add to dashboard Cite

show abstract

“…The investigation of a convective fluid flow in channels is a classical and very important subject area which has been studied over time. A lot of studies and investigations have been undertaken on the flow of nanofluids in channels, tubes and annulus [1][2][3][4][5][6][7][8][9]. Lately, these studies have been extended to the flow in channels of nanosized particles suspended in base fluids, which are generally referred to as nano-fluids.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Transient Natural Convective Flow of a Nanofluid in a Vertical Tube

Jha

Chitumu

Oni

2021

International Journal of Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

An analysis into the transient natural convective flow of a nanofluid in a vertical tube is made. The governing equations of momentum, heat transfer and nanoparticle volume fraction are deduced, and the influence of the thermophoresis parameter and Brownian motion is incorporated. By direct integration and variation of the parameter, analytical solutions are obtained for flow formation and heat/mass transfer at steady-state. On the other hand, due to the complexity of same problem at transient state, a numerical solution is used to solve the discretized equations of motion using the implicit finite difference technique. The influence of the thermophoresis parameter and Brownian motion is noted and well discussed. For accuracy check, a numerical comparison is made between the steady state and transient state solution at large time; this comparison gives an excellent agreement. The role of various principal parameters on velocity profile, temperature, concentration of nanoparticles, Sherwood and Nusselt numbers are presented graphically and well discussed. It is noted that the buoyancy ratio decreases the fluid velocity significantly.

show abstract

“…Also, the nonlinear momentum and energy equations are solved by the implicit finite difference technique. Later on, Jha et al 16,17 studied the transient mixed convective flow of a reactive viscous fluid in a vertical tube. Jha and Oni 18 elaborated on the natural convection flow, inspired by time‐periodic heating in a vertical tube.…”

Section: Introductionmentioning

confidence: 99%

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

Sarveshanand¹,

Singh

2020

Heat Trans

View full text Add to dashboard Cite

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

show abstract

Transient mixed convective flow of reactive viscous fluid in vertical tube

Cited by 5 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

Analysis of Transient Natural Convective Flow of a Nanofluid in a Vertical Tube

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

Contact Info

Product

Resources

About