Effect of Radiation on Non-Darcy Free Convection from a Vertical Cylinder Embedded in a Fluid-Saturated Porous Medium with a Temperature-Dependent Viscosity

Rashad, A. M.; El-Hakiem, M. A.

doi:10.1615/jpormedia.v10.i2.80

Cited by 42 publications

(8 citation statements)

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“…The inclusion of radiation effects in the energy equation had lead to a highly nonlinear partial differential equation. A few authors have developed theoretical models to describe the effects of radiation on Newtonian/non-Newtonian flows in different geometries (Cogley et al, 1968;Chamkha et al, 2002;Hakim and Rashad, 2007;Rashad, 2008, Chamkha and Ben, 2008Singh, 2011;Hady et al, 2012;Muthuraj et al, 2013;Hayat et al, 2013;raju et al, 2014;Abdul Hakeem et al, 2015). Singh et al (2011) have examined the effect of surface mass transfer on MHD mixed convection flow past a heated vertical flat permeable surface in the presence of thermophoresis, radiative heat flux and heat source/sink using similarity transformation.…”

Section: Introductionmentioning

confidence: 99%

MHD Unsteady Flow of a Williamson Nanofluid in a Vertical Porous Space With Oscillating Wall Temperature

Shukla¹,

Immaculate²,

Muthuraj³

et al. 2016

Frontiers in Heat and Mass Transfer

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ABTRACTThis article aims to examine the MHD unsteady flow of Williamson nanofluid in a vertical channel filled with a porous material and oscillating wall temperature. The modeling of this problem is transformed to ordinary differential equations by collecting the non-periodic and periodic terms and then series solutions are obtained by using a powerful method known as the homotopy analysis method (HAM). The influence of involved parameters on heat and mass transfer characteristics of the fluid flow is computed and presented graphically. Further, variations on volume flow rate, coefficient of skin friction, heat transfer rate and mass transfer rate are also discussed through tables. The study reveals that with increasing thermophoresis parameter, the fluid velocity decrease significantly however an enhancement in temperature distribution is noticed. With an increase in Prandtl number lead to enhance fluid temperature whereas it lead to decrease the fluid concentration considerably.

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Section: Introductionmentioning

confidence: 99%

MHD Unsteady Flow of a Williamson Nanofluid in a Vertical Porous Space With Oscillating Wall Temperature

Shukla¹,

Immaculate²,

Muthuraj³

et al. 2016

Frontiers in Heat and Mass Transfer

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“…Richardson and Straughan (1993) studied the non-linear stability and the Brinkman effect on convection with temperature-dependent viscosity (linear dependence) in a porous medium. Effect of radiation on non-Darcy free convection from a vertical cylinder embedded in a fluid-saturated porous medium with a temperature-dependent viscosity was studied by El-Hakiem and Rashad (2007). A good account of convection problems in a porous medium is given in Vafai and Hadim (2000); Ingham and Pop (2002), and Nield and Bejan (2006).…”

Section: Introductionmentioning

confidence: 99%

Effect of Rotation on Thermal Convection in an Anisotropic Porous Medium with Temperature-dependent Viscosity

Vanishree¹,

Siddheshwar

2009

Transp Porous Med

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A linear stability analysis is performed for mono-diffusive convection in an anisotropic rotating porous medium with temperature-dependent viscosity. The Galerkin variant of the weighted residual technique is used to obtain the eigen value of the problem. The effect of Taylor-Vadasz number and the other parameters of the problem are considered for stationary convection in the absence or presence of rotation. Oscillatory convection seems highly improbable. Some new results on the parameters' influence on convection in the presence of rotation, for both high and low rotation rates, are presented.

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“…The second term of the NP concentration and motile microbes equations incorporates the effects of AE, chemical reactions, and microbial reactions. With regard to the Rosseland diffusion approximation, the radiative flux is furnished as [34,35]…”

Section: Mathematical Modelingmentioning

confidence: 99%

Overlapping Grid-Based Spectral Collocation Technique for Bioconvective Flow of MHD Williamson Nanofluid over a Radiative Circular Cylindrical Body with Activation Energy

Mkhatshwa

2024

Computation

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The amalgamation of motile microbes in nanofluid (NF) is important in upsurging the thermal conductivity of various systems, including micro-fluid devices, chip-shaped micro-devices, and enzyme biosensors. The current scrutiny focuses on the bioconvective flow of magneto-Williamson NFs containing motile microbes through a horizontal circular cylinder placed in a porous medium with nonlinear mixed convection and thermal radiation, heat sink/source, variable fluid properties, activation energy with chemical and microbial reactions, and Brownian motion for both nanoparticles and microbes. The flow analysis has also been considered subject to velocity slips, suction/injection, and heat convective and zero mass flux constraints at the boundary. The governing equations have been converted to a non-dimensional form using similarity variables, and the overlapping grid-based spectral collocation technique has been executed to procure solutions numerically. The graphical interpretation of various pertinent variables in the flow profiles and physical quantities of engineering attentiveness is provided and discussed. The results reveal that NF flow is accelerated by nonlinear thermal convection, velocity slip, magnetic fields, and variable viscosity parameters but decelerated by the Williamson fluid and suction parameters. The inclusion of nonlinear thermal radiation and variable thermal conductivity helps to enhance the fluid temperature and heat transfer rate. The concentration of both nanoparticles and motile microbes is promoted by the incorporation of activation energy in the flow system. The contribution of microbial Brownian motion along with microbial reactions on flow quantities justifies the importance of these features in the dynamics of motile microbes.

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Effect of Radiation on Non-Darcy Free Convection from a Vertical Cylinder Embedded in a Fluid-Saturated Porous Medium with a Temperature-Dependent Viscosity

Cited by 42 publications

References 0 publications

MHD Unsteady Flow of a Williamson Nanofluid in a Vertical Porous Space With Oscillating Wall Temperature

MHD Unsteady Flow of a Williamson Nanofluid in a Vertical Porous Space With Oscillating Wall Temperature

Effect of Rotation on Thermal Convection in an Anisotropic Porous Medium with Temperature-dependent Viscosity

Overlapping Grid-Based Spectral Collocation Technique for Bioconvective Flow of MHD Williamson Nanofluid over a Radiative Circular Cylindrical Body with Activation Energy

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