Modeling of Fluid Flow and Heat Transfer inside a Saturated Porous Conduit at Constant Surface Heat Flux

AlMasa'deh, Hassan Adeeb; Duwairi, H. M.

doi:10.18280/mmc_b.860309

Cited by 3 publications

(3 citation statements)

References 4 publications

(5 reference statements)

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“…Recently, a study by AlMasa’deh and Duwairi 7 demonstrated analytically and numerically flow of fluid and heat transfer within a saturated porous medium impenetrable conduit at a fixed heat flux. Besides, the mathematical study was performed to figure out the slip effects and radiation in a fully developed incompressible Newtonian fluid Williamson flow.…”

Section: Introductionmentioning

confidence: 99%

Fluid flow and heat transfer characteristics of Williamson fluids flowing in saturated porous media

Quran

Maaitah

Alsabagh

et al. 2023

Advances in Mechanical Engineering

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This study was conducted to mathematically evaluate the impact of forced convection of viscous dissipation on a porous media filled with Williamson fluid and exposed to fixed surface heat flux. The technique of Darcy_Forchheimer_Brinkman was employed, then the non-dimensional equations were solved numerically over a flat plate by using bvp4c through the MATLAB package. Different parameters were examined including the profiles of velocity, temperature and shear_stress in addition to Nusselt Number. Furthermore, the study evaluated the effects of several essential parameters, including Forchheimer, Darcy, porous media, Williamson, and viscous dissipation, on the temperature and velocity profiles, heat transfer and friction coefficients. The numerical solution results showed that, under high Forchheimer_parameter values, all, shear_stress, Nusselt_number parameter and temperature showed an increase in their values. Also, as Williamson_parameter increased, the shear_stress and boundary layer velocity were improved, while a decrease in Nusselt_number caused an increased in values of temperature profile. Finally, the boundary layer of velocity and shear_stress showed an increase in their values when Darcy parameter increased. On the other hand, a decrease in the temperature profile and Nusselt_number were observed.

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Section: Introductionmentioning

confidence: 99%

Fluid flow and heat transfer characteristics of Williamson fluids flowing in saturated porous media

Quran

Maaitah

Alsabagh

et al. 2023

Advances in Mechanical Engineering

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“…AlMasa'deh and Duwairi 13 modeled and solved analytically a two‐dimensional flow of Williamson fluid over a stretching sheet. The influence of different sizes of nanoparticles was investigated.…”

Section: Introductionmentioning

confidence: 99%

Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

et al. 2022

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Forced convection of Williamson fluid flow in porous media under constant surface heat flux conditions is investigated numerically. A model of Darcy–Forchheimer–Brinkman is used and the corresponding governing equations are expressed in dimensionless forms and solved numerically using bvp4c with MATLAB package. Boundary layer velocity, shear stress, and temperature profiles, in addition to the local Nusselt number parameter over a horizontal plate, are found. The effects of the Forchheimer parameter, Nusselt number, Darcy parameter, porous inertia, and Williamson parameter on the velocity profiles, temperature profiles, coefficient of friction, and coefficient of heat transfer are investigated. The results showed that as the Darcy parameter increases, boundary layer velocity and shear stress increase, while the temperature and Nusselt number decrease. In addition, as Williamson's parameter increases, velocity within the boundary layer, shear stress, and Nusselt number decrease while the temperature profile increases. Also, with larger values of the Forchheimer parameter, the velocity of the boundary layer, shear stress, temperature, and Nusselt number increase. Furthermore, the Nusselt number and the coefficient of friction are obtained on the surface of the horizontal plate.

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“…This value was 26.42% greater than EG-PW with base fluid alone. AlMasa'deh and Duwairi 16 analytically and numerically studied the fluid flow and heat transfer inside a porous conduit with heat flux. Through the completely formed and entry regions, the energy, momentum, and continuity equations were solved using a theoretical model with constant heat flux boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Performance enhancement of an evacuated tubes solar collector using Forchheimer’s saturated porous media with embedded nanofluid

Duwairi

Alrbai

Al-Dweik

2022

Advances in Mechanical Engineering

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The evacuated tube solar collector is a proper choice for converting solar energy into heat since it is efficient, practical, and cost-effective. In the current study, the role of nanofluid in porous medium was numerically investigated to improve the performance of a solar collector model and the potential to store energy. The governing equations for the suggested model were solved analytically in the fully developed region using the Forchheimer model. The investigation of the impact on temperature fluctuation in the solar collector was done by considering several factors such as medium porosity, pore diameter, nanoparticles with respect to the solid volume ratio, system pressure, and conduit radius. The governing equations for the entrance region were expressed in a non-dimensional form and solved using the finite difference method (FDM), with the resulting non-dimensional differential equation solved using MATLAB software. Various parameters, such as Prantel number (Pr) and fluid velocity, were examined, and the findings were shown in various diagrams. For the fully developed region, an analytical solution was obtained, and the findings were presented using the Mathematica® software. The results demonstrate that utilizing nanofluid and porous media improves the performance of the evacuated tube when compared to sole use of water. It was found that the temperature difference across the solar tube was enhanced by 10%–20%. In addition to that, the performance of the evacuated tube solar collector showed around 10% enhancement in the obtained temperature difference in cold months, when nanofluids were added. Also, the comparison between nanofluids using Forchheimer model shows that the best nanofluid was AL2O3. The best results had a significant effect on the solid volume fraction rate of nanoparticles in nanofluids obtained at low Reynolds and Prandtl numbers. Where the higher the fraction, the higher the heat transfer, the higher the resulted temperature.

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Modeling of Fluid Flow and Heat Transfer inside a Saturated Porous Conduit at Constant Surface Heat Flux

Cited by 3 publications

References 4 publications

Fluid flow and heat transfer characteristics of Williamson fluids flowing in saturated porous media

Fluid flow and heat transfer characteristics of Williamson fluids flowing in saturated porous media

Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

Performance enhancement of an evacuated tubes solar collector using Forchheimer’s saturated porous media with embedded nanofluid

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