A pore-scale assessment of the dynamic response of forced convection in porous media to inlet flow modulations

Habib, Rabeeah; Karimi, Nader; Yadollahi, Bijan; Doranehgard, Mohammad Hossein; Li, Larry K.B.

doi:10.1016/j.ijheatmasstransfer.2020.119657

Cited by 108 publications

(11 citation statements)

References 46 publications

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“…In this section, we look at the problem formulation where the model consists of highly nonlinear partial differential equations (PDE) [1-5], and the exact solution of such a model is quite complicated and seems impossible if the number of parameters involved in the problem is greater than the control of the solution. In our case, the problem was, firstly, tackled numerically through the bvp4c package in MATLAB, where we could exercise the similarity transformations along with the aforementioned PDEs transmuted into nonlinear ODEs [9][10][11][12] with the related constraint equation [13]. The pertinent parameters in the problem that were taken to be fixed for computational purposes throughout the process were the following [37]: Du = M = 0.2, R d = Sc = 0.5, θ w = 0.5, Sr = 0.3, φ 1 = φ 2 = 0.1, S = 1.5, and λ = 0.5.…”

Section: Resultsmentioning

confidence: 99%

“…They showed that the thermal behavior of TiO 2 nanoparticles was strongly reliant on the power of heating, but at a lower power of heating, the heat transfer was more effective. Afterwards, numerous researchers [7][8][9][10][11][12][13][14] discussed the significance of nanoliquids from different viewpoints. Recently, Saffarian et al [15] utilized nanofluid to change the heat transfer (HETR) of a solar collector through a flat surface via the shapes of several flow paths.…”

Section: Introductionmentioning

confidence: 99%

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Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid

et al. 2020

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This exploration examines the nonlinear effect of radiation on magnet flow consisting of hybrid alloy nanoparticles in the way of stream-wise and cross flow. Many experimental, as well as theoretical explorations, demonstrated that the thermal conductivity of the regular liquid increases by up to 15 to 40% when nanomaterials are mixed with the regular liquid. This change of the thermal conductivity of the nanoliquid depends on the various characteristics of the mixed nanomaterials like the size of the nanoparticles, the agglomeration of the particles, the volume fraction, etc. Researchers have used numerous nanoparticles. However, we selected water-based aluminum alloy (AA7075) and titanium alloy (Ti6Al4V) hybrid nanomaterials. This condition was mathematically modeled by capturing the Soret and Dufour impacts. The similarity method was exercised to change the partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs). Such nonlinear ODEs were worked out numerically via the bvp4c solver. The influences of varying the parameters on the concentration, temperature, and velocity area and the accompanying engineering quantities such as friction factor, mass, and heat transport rate were obtained and discussed using graphs. The velocity declines owing to nanoparticle volume fraction in the stream-wise and cross flow directions in the first result and augment in the second result, while the temperature and concentration upsurge in the first and second results. In addition, the Nusselt number augments due to the Soret number and declines due to the Dufour number in both results, whereas the Sherwood number uplifts due to the Dufour number and shrinks due to the Soret number in both results.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid

et al. 2020

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“…Furthermore, a sizeable parameter was selected for upper limit time-step number in ramp cases, and mean temperature at the exit was analyzed to monitor convergence with respect to time. A new stoppage criterion was defined to terminate the simulations if the deviation in the last 1000 time-steps is lower than 0.5 K [42]. These proved to be adequate convergence criteria for almost all cases.…”

Section: Methodsmentioning

confidence: 99%

A Pore-Scale Investigation of the Transient Response of Forced Convection in Porous Media to Inlet Ramp Inputs

Habib

Yadollahi

Karimi

2020

Journal of Energy Resources Technology

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This paper investigates the transient response of forced convection of heat in a reticulated porous medium through taking a pore-scale approach. The thermal system is subject to a ramp disturbance superimposed on the entrance flow temperature/velocity. The developed model consisted of ten cylindrical obstacles aligned in a staggered arrangement with set isothermal boundary conditions. A few types of fluids, along with different values of porosity and Reynolds number are considered. Assuming a laminar flow, the unsteady Navier Stokes and energy equations are solved numerically. The temporally developing flow and temperature fields as well as the surface averaged Nusselt numbers are used to explore the transient response of the system. Further, a Response Lag Ratio (RLR) is defined to compare the transient response and the input. The results reveal that an increase in amplitude increases the RLR. Nonetheless, an increase in ramp duration decreases the RLR, particularly for high density fluids. Interestingly, it is found that Reynolds number has almost negligible effects upon RLP. This study clearly reflects the importance of conducting pore-scale analyses for understanding the transient response of heat convection in porous media.

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“…The reduction in heat transfer and the resultant increase in the internal temperature gradient, as well as increases in the frictional losses of the flow due to non-Newtonian effects, are the reasons for augmentation of entropy generation in comparison with that of Newtonian fluid [40,41].…”

Section: Parametric Studies On the Effects Of Physical Properties Of mentioning

confidence: 99%

Heat and mass transfer and thermodynamic analysis of power-law fluid flow in a porous microchannel

Sarafan

Alizadeh

Fattahi

et al. 2020

J Therm Anal Calorim

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Transfer of heat and mass and thermodynamic irreversibilities are investigated in a porous, parallel-plate microreactor in which the working fluid is non-Newtonian. The investigated microreactor features thick flat walls with uneven thicknesses, which can be subject to different thermal loads. The dimensionless governing equations of the resultant asymmetric problem are first derived theoretically and then solved numerically by using a finite volume technique. This results in two-dimensional solutions for the velocity, temperature and concentration fields as well as the distributions of Nusselt number and local and total entropy generations. The results clearly demonstrate the significance of the numerical value of the power-law index and departure from Newtonian behavior of the fluid. In particular, it is shown that by increasing the value of power-law index the Nusselt number on the wall decreases. This leads to the intensification of the temperature gradients in the system and therefore magnifies the local and total entropy generations. Also, it is shown that the wall thickness and thermal asymmetry can majorly affect the heat transfer process and thermodynamic irreversibility of the microreactor. It is noted that the current work is the first comprehensive study of heat transfer and entropy generation in porous micro-chemical reactor with non-Newtonian, power-law fluid.

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A pore-scale assessment of the dynamic response of forced convection in porous media to inlet flow modulations

Cited by 108 publications

References 46 publications

Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid

Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid

A Pore-Scale Investigation of the Transient Response of Forced Convection in Porous Media to Inlet Ramp Inputs

Heat and mass transfer and thermodynamic analysis of power-law fluid flow in a porous microchannel

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