Non-Darcy Natural Convection Boundary Layer Flow Over a Vertical Cone in Porous Media Saturated with a Nanofluid Containing Gyrotactic Microorganisms with a Convective Boundary Condition

Hady, F. M.; Mohamed, R. A.; Mahdy, A.; Zaid, Omima A. Abo

doi:10.1166/jon.2016.1256

Cited by 17 publications

(3 citation statements)

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“…Heat is provided to the convecting fluid via a boundary surface with a finite heat capacity, which provides a convective heat transfer coefficient in this mechanism (namely, Biot number). Given the nature of these applications, Hady 19 studied non-Darcy natural convection with convective boundary condition containing microorganisms, mixed convection flow through vertical surfaces were studied in Refs. 20 – 23 in recent years and also with the presence of convective boundary conditions, Mahady 24 observed mixed convection boundary layer flow via a horizontal circular cylinder.…”

Section: Introductionmentioning

confidence: 99%

Effects of non-Darcy mixed convection over a horizontal cone with different convective boundary conditions incorporating gyrotactic microorganisms on dispersion

Ferdows

Alshuraiaan

Nima

2022

Sci Rep

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This paper investigates the influence of dispersion impact on mixed convection flow over a horizontal cone within a non-Darcy porous medium. Multiple convective boundary conditions are applied to address the heat, mass and motile microorganism transfer phenomena. This paper incorporates the dispersion effect for gyrotactic microorganisms due to biological and environmental applications. By imposing appropriate similarity transformations, the nonlinear partial differential equations governing flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations & then solved using the MATLAB BVP4C function. The computation of grid independence test is analyzed for different flow profiles to show the precision of the points. In a few instances, our present numerical data is compared with previously published works, leading to excellent agreement. The non-Darcy effect, as well as mixed convection values from 0.1 to 0.9 and buoyancy parameters from 0.2 to 0.8, all significantly affects the velocity profile. The reduction in the microorganism profile is brought on by the increase in the bioconvection Lewis parameter and bio convection peclet number between 0.3 and 1. In the absence of dispersion, the variation of Biot numbers between 0.5 and 2, favor heat, mass, and motile microorganism transfer the most in the range of mixed convection parameter 0.5 to pure forced convection 1. Thermal, solutal and microorganism dispersion coefficients a, b, c that lie between $$\frac{1}{7}$$ 1 7 and $$\frac{1}{3}$$ 1 3 and higher values of modified peclet number ranges from 2 to 10 cause increased dispersion effects which lower flow transfer rates mostly in forced convection regime.

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Section: Introductionmentioning

confidence: 99%

Effects of non-Darcy mixed convection over a horizontal cone with different convective boundary conditions incorporating gyrotactic microorganisms on dispersion

Ferdows

Alshuraiaan

Nima

2022

Sci Rep

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“…Heat and mass transfer analysis using a convective boundary condition is a significant and relevant consideration in the gas turbines, nuclear reactors, and heat exchangers industries. Heat is provided to the convecting fluid via a boundary surface with a finite heat capacity, which provides a convective heat transfer coefficient in this mechanism (namely, Biot number).Given the nature of these applications, Hady [19] studied non-Darcy natural convection with convective boundary condition containing microorganisms, mixed convection flow through vertical surfaces were studied in Refs. [20 -23] in recent years and also With the presence of convective boundary conditions, Mahady [24] observed mixed convection boundary layer flow via a horizontal circular cylinder.. Now a day's researchers are paying more attention to the evolution of microorganisms in bioconvection.Bioconvection occurs when the macroscopic flow of fluid causes greater flexibility in swimming microorganisms.…”

Section: Introductionmentioning

confidence: 99%

Effects of Non-Darcy Mixed Convection Over a Horizontal Cone With Different Convective Boundary Conditions Incorporating Gyrotactic Microorganisms On Dispersion

Ferdows

Alshuraiaan

Nima

2021

Preprint

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This paper discusses an investigation of the influence of dispersion impact on mixed convection flow over a horizontal cone within a non-Darcy porous medium subjected to convective boundary conditions. By imposing appropriate similarity transformations, the nonlinear partial differential equations governing flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations, which are then solved using the MATLAB BVP4C function. In a few circumstances, the research is brought to a strong conclusion by comparing the findings of the current study to previously published works. Mixed convection parameter λ, buoyancy parameters N1,N2, Lewis parameter Le, bioconvection lewis parameter Lb, Bioconvection peclet number Pe, Biot number Bi, Biot number of Mass transfer Bi,m and also Biot number of motile microorganism transfer Bi,n are all numerically calculated for various values of the dimensionless parameters of the problem. The results also reveal that, in the presence of dispersion effects, these parameters greatly influence the heat, mass, and motile microorganism transfer rates, as well as the corresponding velocity, temperature, concentration, and motile microorganism profiles.

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“…The problem of natural convection boundary layer flow about a vertical cone in porous media saturated by a nanofluid due to gyrotactic microorganisms is presented by Mahdy [16]. A numerical study of a natural convection about a vertical cone embedded in a non Darcian nanofluid containing gyrotactic microorganisms saturated porous medium is studied by Hady et al [17].…”

Section: Introductionmentioning

confidence: 99%

Effects of Viscous Dissipation on Unsteady MHD Thermo Bioconvection Boundary Layer Flow of a Nanofluid Containing Gyrotactic Microorganisms along a Stretching Sheet

Hady¹,

Mahdy²,

Mohamed³

et al. 2016

WJM

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This paper presents a numerical study of the problem of unsteady thermo bioconvection boundary layer flow of a nanofluid containing gyrotactic microorganisms along a stretching sheet under the influence of magnetic field and viscous dissipation. With the help of usual transformation, the governing equations are transformed into unsteady nonlinear coupled partial differential equations. The numerical solution is obtained by using an explicit finite difference scheme. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. From the results it is found that both magnetic parameter and bioconvection Rayleigh number have positive effect on the dimensionless Nusselt number and density number of the motile microorganisms while the opposite behavior became clear in the case of Grashof number and Eckert number. The rescaled velocity, temperature, concentration and the density of motile microorganisms depend strongly on the governing parameters.

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Non-Darcy Natural Convection Boundary Layer Flow Over a Vertical Cone in Porous Media Saturated with a Nanofluid Containing Gyrotactic Microorganisms with a Convective Boundary Condition

Cited by 17 publications

References 0 publications

Effects of non-Darcy mixed convection over a horizontal cone with different convective boundary conditions incorporating gyrotactic microorganisms on dispersion

Effects of non-Darcy mixed convection over a horizontal cone with different convective boundary conditions incorporating gyrotactic microorganisms on dispersion

Effects of Non-Darcy Mixed Convection Over a Horizontal Cone With Different Convective Boundary Conditions Incorporating Gyrotactic Microorganisms On Dispersion

Effects of Viscous Dissipation on Unsteady MHD Thermo Bioconvection Boundary Layer Flow of a Nanofluid Containing Gyrotactic Microorganisms along a Stretching Sheet

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