Steady Oscillatory Flow in a Bifurcating Green Plant

Okuyade, W; Abbey, T. M.

doi:10.9734/arjom/2017/31306

Cited by 1 publication

(4 citation statements)

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“…, where is the pressure in the upstream, is that in the downstream, and are constants, see [17]. Using these in equations ( 25)-( 27) and ( 19 An investigation of equations ( 26)-( 28) and ( 32)-(34) under the specified boundary conditions shows that they are cylindrical problems.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Effecting this, a simple transition wherein the diameter of the upstream region is made equal to half that of the downstream region is assumed such that the variation of the angle of merging is used straightforwardly [20]. Additionally, the diameter of the downstream is assumed to be far less than the length such that such that the flow is laminar and Poiseuille [17,21]; [17,21]. Based on the above, the boundary conditions become:…”

Section: Fig 1 a Schematic Of A Bifurcating Green Plantmentioning

confidence: 99%

“…u= 0, w = 0, , , , <1 at (16) for the upstream region and at (17) u= 0, w = 0, , at r = 1 (18) for the downstream region.…”

Section: Fig 1 a Schematic Of A Bifurcating Green Plantmentioning

confidence: 99%

“…They overviewed the flow in the phloem vessels using the fluid dynamic approach. Amidst the biomechanical models of green plants, we have [17], who worked on the xylem and phloem flows in a tree trunk using the method of Laplace transforms; [18][19][20] studied the normal and oscillatory xylem flow in bifurcating green plants using the method of perturbation series expansions, and observed that for the normal flow while the increase in the heat exchange parameter increases the temperature, increase in the bifurcation angle increases the velocity and concentration. For the oscillatory flow, they noticed the increase in the bifurcation angle increases the velocity but decreases the concentration; the increase in a magnetic field, chemical reaction rate, heat exchange, buoyancy parameters, Peclet number, and Reynolds number increase the concentration and velocity factors.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sugar Transport in a Merging Phloem Vessels: A Hydrodynamic Model

Okuyade

Abbey

2021

AIR

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Green plants are the major tappers of the energy from the sun. The collected solar energy in the form of light is used to activate the chemical reaction occurring in matured leaves between carbon dioxide and water, leading to the synthesis of sugar (chemical energy). Two main transport processes are involved in the transport of mineral salt water from the soil through the roots, via the trunk and branches to the leaves where photosynthetic activity occurs, and the translocation of sugar from the leaves to where they are needed and possibly, stored. The xylem vessels bear the absorbed mineral salt water while the phloem vessels bear the manufactured sugar. In this study, neglecting the effects of occlusion and clogging of the phloem channels, we investigate the transport of sugars in the merging phloem vessels using the hydrodynamic approach. The model is designed using the Boussinesq approximation and solved semi-analytically using the regular perturbation series expansion solutions and Mathematica 11.2 computational software. Expressions for the concentration, temperature, and velocity are obtained and presented quantitatively and graphically. The results show among others, that increase in the merging angle causes a reduction in the concentration, temperature, and velocity profiles. However, there exists fluctuations in the concentration and temperature structures.

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Section: Methods Of Solutionmentioning

confidence: 99%