Non-Darcy Mixed Convection in a Doubly Stratified Porous Medium with Soret-Dufour Effects

Srinivasacharya, D.; Surender, O.

doi:10.1155/2014/126218

Cited by 24 publications

(9 citation statements)

References 12 publications

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“…In the last few decades, a number of studies on mixed convective heat and mass transfer have been published, employing both Darcian and non-Darcian porous media.Srinivasachary and Reddy [4,5] discovered natural and mixed convection for power law fluid in Darcy porous media, while Lai [6] used the Darcy model to observe mixed convection in porous media. Non-Darcian models are Darcy formulations that include inertial drag, vorticity diffusion, and combinations of these components, according to [7]. Various models for assessing non-Darcian flow in porous media, such as Brinkman-extended Darcy, Forchheimer-extended Darcy, and generalized stream models, have been published in the literature [7][8][9][10][11].…”

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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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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“…[13] analyzed and modeled the duly stratified mixed convective flow of Jeffrey fluid with heat thermal radiation impacts. Srinivasacharya and Surender [14] characterized dual stratification in mixed convection flow of viscous nanoliquid embedded through porous medium. Hayat et al.…”

Section: Introductionmentioning

confidence: 99%

Simulation of magnetic dipole and dual stratification in radiative flow of ferromagnetic Maxwell fluid

Ijaz

Ayub

2019

Heliyon

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Theoretical investigation is performed to explore the novel aspects of nonlinear thermal radiation and non-uniform heat source/sink for chemically reactive flow of ferromagnetic Maxwell liquid over a permeable stretching sheet. Buongiorno model is employed to include Brownian motion and thermophoresis effects. The novelty of the existing study is to account the effect of binary chemical reaction, viscous dissipation, thermal and solutal stratification for ferromagnetic Maxwell fluid. Governing system of nonlinear partial differential equations is transformed into a system of nonlinear ordinary differential equations with the help of apposite similarity transformations. The acquired resulting nonlinear ODEs are solved numerically with the assistance built-in-shooting method (bvp4c). Effects of emanating variables are examined through graphs and tables. It is evident that heat transfer rate enhances with thermal radiation. It is analyzed that temperature upsurges for greater estimations of thermal radiation , ferromagnetic and thermophoresis parameters however it declines for Prandtl number (Pr) and thermal stratified parameter (S₁). Space and temperature dependent heat sinks are more appropriate for cooling purposes.

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“…Ibrahim and Makinde (2013) reported the impact of thermal and solutal stratification in natural convection flow of nanofluid over a flat plate. Doubly stratified flow of viscous liquid in a porous space with Soret and Dufour effects has been examined by Srinivasacharya and Surender (2014). Rashad et al (2014) provided an analysis to explore the characteristics of thermally and solutally stratified flow of micropolar liquid in the presence of chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

A useful model for solar radiation

Shehzad

Hayat

Alsaedi

et al. 2016

Energ. Ecol. Environ.

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Energy crisis is one of the major issues of our society. There are different forms of renewable energy like wind power, geothermal energy, biomass from plants and solar energy. Solar energy is the only freely available source of renewable energy that comes directly from sun and may be converted into heat or electricity. In this article, we develop a model for solar radiation by considering the laminar flow of an incompressible Oldroyd-B fluid toward a thermally and solutally stratified moving surface with nanoparticles and thermal radiation. The data have been computed by homotopic algorithm. The computed solutions of velocity, temperature and nanoparticle concentration are plotted for multiple values of parameters of interest.

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Non-Darcy Mixed Convection in a Doubly Stratified Porous Medium with Soret-Dufour Effects

Cited by 24 publications

References 12 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

Simulation of magnetic dipole and dual stratification in radiative flow of ferromagnetic Maxwell fluid

A useful model for solar radiation

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