Natural Convective Boundary Layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Nanofluid

Gorla, Rama Subba Reddy; Chamkha, Ali J.

doi:10.4236/jmp.2011.22011

Cited by 120 publications

(55 citation statements)

References 15 publications

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“…Numerical computations are done for −1 ≤ f w ≤ 1, 0 ≤ N b ≤ 1, 0 ≤ N t ≤ 0.3, 0 ≤ Nr ≤ 0.2, 0.1 ≤ γ ≤ 5.0 and 0.1 ≤ Le ≤ 5.0. The results of the dimensionless heat transfer rates, −θ (0), and the dimensionless nanoparticle volume fraction rate, −φ (0) are compared with the most recent results reported by Gorla and Chamkha (2011) for a special case in Table 1 and are found to be in excellent agreement for each values of Nr, N b, and N t. This supports the validity of our other graphical results for dimensionless velocity, temperature, nanoparticle volume fraction, skin friction, heat, and nanoparticle volume fraction transfer rates.…”

Section: Resultsmentioning

confidence: 97%

“…2a displays the effects of buoyancy ratio and suction parameter on the dimensionless velocity when thermophoresis and the Brownian motion parameters are absent. It is found that the dimensionless velocity and corresponding velocity boundary Table 1 Comparison of results if this study with Gorla and Chamkha (2011) for different values of buoyancy and nanofluid parameters Present results Gorla and Chamkha (2011) Fig. 2b displays the effects of buoyancy ratio and suction parameter on the dimensionless velocity when thermophoresis and the Brownian motion parameters are present.…”

Section: Velocity Profilesmentioning

confidence: 94%

“…It is worth mentioning that in case of impermeable plate ( f w = 0) and for constant wall temperature (γ → ∞), the problem under consideration reduces to the problem which has been recently investigated by Khan and Pop (2011) and Gorla and Chamkha (2011).…”

Section: Comparisons With the Literaturementioning

confidence: 99%

“…After their pioneering works several authors such as Chang and Cheng (1983); Shiunlin and Gebhart (1986); Merkin and Zhang (1990), and Chaudhary et al (1996) have extended the analysis of the problem in various aspects. Gorla and Chamkha (2011) presented a boundary layer analysis for the free convection flow of nanofluid over a horizontal upward facing plate in a porous medium numerically. Very recently, Khan and Pop (2011) extended the analysis of this problem for nanofluid.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Uddin

Khan²,

Ismail

2012

Transp Porous Med

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The steady laminar incompressible free convective flow of a nanofluid over a permeable upward facing horizontal plate located in porous medium taking into account the thermal convective boundary condition is studied numerically. The nanofluid model used involves the effect of Brownian motion and the thermophoresis. Using similarity transformations the continuity, the momentum, the energy, and the nanoparticle volume fraction equations are transformed into a set of coupled similarity equations, before being solved numerically, by an implicit finite difference numerical method. Our analysis reveals that for a true similarity solution, the convective heat transfer coefficient related with the hot fluid and the mass transfer velocity must be proportional to x −2/3 , where xis the horizontal distance along the plate from the origin. Effects of the various parameters on the dimensionless longitudinal velocity, the temperature, the nanoparticle volume fraction, as well as on the rate of heat transfer and the rate of nanoparticle volume fraction have been presented graphically and discussed. It is found that Lewis number, the Brownian motion, and the convective heat transfer parameters increase the heat transfer rate whilst the thermophoresis decreases the heat transfer rate. It is also found that Lewis number and the convective heat transfer parameter enhance the nanoparticle volume fraction rate whilst the thermophoresis parameter decreases nanoparticle volume fraction rate. A very good agreement is found between numerical results of the present article for special case and published results. This close agreement supports the validity of our analysis and the accuracy of the numerical computations.

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Section: Resultsmentioning

confidence: 97%

Section: Velocity Profilesmentioning

confidence: 94%

Section: Comparisons With the Literaturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Uddin

Khan²,

Ismail

2012

Transp Porous Med

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“…Nield and Kuznetsov [16] investigated the cross-diffusion in nanofluids, with the aim of making a detailed comparison with regular cross diffusion effects and the cross-diffusion effects peculiar to nanofluids, and at the same time investigating the interaction between these effects when the base fluid of the nanofluid is itself a binary fluid such as salty water. Recently, a boundary layer analysis for the natural convection past a horizontal plate in a porous medium saturated with a nanofluid is analyzed by Gorla and Chamkha [17].…”

Section: Introductionmentioning

confidence: 99%

Influence of Viscous Dissipation on Free Convection in a Non-Darcy Porous Medium Saturated with Nanofluid in the Presence of Magnetic Field

RamReddy¹

2013

TOTPJ

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Abstract:The effects of viscous dissipation and magnetic field on free convection heat and mass transfer along a vertical plate embedded in a nanofluid saturated non-Darcy porous medium have been studied. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless form by non-similarity variables. The resulting system of equations is then solved numerically by an accurate implicit finite-difference method. The numerical results are compared and found to be in good agreement with previously published results for a special case of the present investigation. The effect of the physical parameters on the flow, heat transfer and nanoparticle concentration characteristics of the model is presented through graphs and the salient features are discussed.

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Effects of using phase change material and non‐Newtonian power law nanofluid on different sides of a double pipe heat exchanger for phase change dynamics and energy performance improvements

Selimefendigil

Öztop

2021

Energy Storage

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In this study, the effects of using phase change material (PCM) and non-Newtonian power law (PL) fluid on the performance features of a double pipe heat exchanger were numerically assessed with finite element technique. PCM and PL fluid were used in different sides of the heat exchanger while impacts of cold side fluid Re number, nanoparticles loading amount, and PL index of fluid on the dynamics characteristics of phase change process, and thermal performance were examined. There is a reduction of 71.5% in the full phase transition time (td) when cases with Re = 100 and Re = 300 are compared while cold fluid exit temperature rises by about 5.8 K with PCM-installed heat exchanger as compared to non-PCM configuration at Re = 300. As cases with different PL indices (n) between n = 0.8 and n = 1.2 are compared, the value of td rises by about 34%. For different nanoparticle loading, variation of td depends upon the PL index and its value rises with higher n at the highest solid volume fraction. The particle size has also impacts on the variation of td and exit temperatures which is more pronounced for power n values. A polynomial regression model is used for the estimation of td.

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Natural Convective Boundary Layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Nanofluid

Cited by 120 publications

References 15 publications

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Influence of Viscous Dissipation on Free Convection in a Non-Darcy Porous Medium Saturated with Nanofluid in the Presence of Magnetic Field

Effects of using phase change material and non‐Newtonian power law nanofluid on different sides of a double pipe heat exchanger for phase change dynamics and energy performance improvements

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