A Hydrodynamic Model of Flow in Bifurcating Streams, Part 2: Effects of Environmental Thermal Differentials

Okuyade, W; Abbey, T. M.

doi:10.9734/psij/2016/26430

Cited by 2 publications

(3 citation statements)

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“…7. This agrees with [30,32] and [33]. It is worthy to notice that the increase in the thermal gradient, which tends to reduce the viscous force, causes the Reynolds number to rise.…”

Section: Resultssupporting

confidence: 90%

“…[29] studied the flow phenomenon in micro/mini channel networks of symmetrical bifurcation using computer simulation with analytic validation, and found that oscillation amplitude has dominant effects on the streaming velocity in channel networks; the streaming velocity is proportional to the oscillation frequency. Moreover, [30] and [31,32,33] investigated the flow in bifurcating systems, using the method of perturbation series expansions, and noticed that increase in the bifurcation angle, Reynolds number and thermal differentials increase the transport velocity, concentration and Nusselt number of the flow; the Hartmann number decreases velocity. [22] examined the dynamics of the fluid in the xylem and phloem vessels of the tree trunk whose length is far greater than the diameter (i.e d l >> ) such that the ratio of the length to diameter otherwise called the aspect ratio is far less than one (i.e.…”

Section: Introductionmentioning

confidence: 99%

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Biomechanics of a Bifurcating Green Plant, Part 2: Environmental Thermal Effects

Okuyade¹,

Abbey²

2017

AJOPACS

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The effects of environmental temperature differentials on the flow of soil mineral salt water in a bifurcating green plant is presented. The problem involves a set of non-linear differential equations tackled by means of a regular perturbation method. Expressions for the velocity, temperature and concentration, Nusselt number and Sherwood number are obtained, and analyzed graphically. The results indicate that the heat exchange parameter increases the temperature and Nusselt number, while the free convective forces increase the transport velocity and concentration. The increase in these flow variables has tremendous agricultural implications on the growth and productivity of plants (crops). In fact, their increase enhances the rate at which soil water and nutrients are made available to the plants, and this subsequently tends to improve the plant growth and productivity.

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“…7. This agrees with [30,32] and [33]. It is worthy to notice that the increase in the thermal gradient, which tends to reduce the viscous force, causes the Reynolds number to rise.…”

Section: Resultssupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Biomechanics of a Bifurcating Green Plant, Part 2: Environmental Thermal Effects

Okuyade¹,

Abbey²

2017

AJOPACS

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“…In addition, they noticed that the critical Raleigh number at the onset of the instability of the flow is strongly dependent on the volume fraction of nanoparticles and the magnetic field. More so, Okuyade and Abbey [42] examined blood flow in bifurcating arteries analytically, and observed that an increase in heat exchange parameter and Grashof number increase the velocity, concentration and Nusselt number of the flow, while an increase in the heat exchange parameter increases the Sherwood number. This paper examines the dispersion of pollutants in a bifurcating stream using the hydrodynamic approach.…”

Section: Introductionmentioning

confidence: 99%

Pollutants Spread in a Bifurcating River: The River Nun, Bayelsa, Nigeria

Okuyade

Abbey

2016

JSRR

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Pollutants have grievous impacts on human lives and aquatic ecosystem. Reducing them in our environment is a global objective that demands cooperation from all, and the services of experts. In view of this, a hydrodynamic model of the spread of pollutants in a bifurcating river is presented to investigate the role of the flow dynamics of rivers in the dispersion of pollutants. The study is centred on the River Nun, Bayelsa, Nigeria where there are incidences of pollution. The flow model is governed by a set of nonlinear and coupled partial differential equations, solved by the methods similarity transformation and perturbation series expansions. Expressions for the temperature, concentration and velocity are obtained and analyzed graphically. The analyses show that the bifurcation angle, Reynolds number and thermal differentials increase the velocity of the flow. These results have attendant implications on the spread of pollutants in the River Nun. In particular, if the deposition of pollutants in a location of the river is stopped, the increase in velocity will enhance the spread of the existing pollutants through the infinite river, thus reducing their concentration at that location to an allowable level, safe for man and the aquatic ecosystem.

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A Hydrodynamic Model of Flow in Bifurcating Streams, Part 2: Effects of Environmental Thermal Differentials

Cited by 2 publications

References 0 publications

Biomechanics of a Bifurcating Green Plant, Part 2: Environmental Thermal Effects

Biomechanics of a Bifurcating Green Plant, Part 2: Environmental Thermal Effects

Pollutants Spread in a Bifurcating River: The River Nun, Bayelsa, Nigeria

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