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A novel mathematical model is envisaged to scrutinize the Darcy Forchheimer 3D Powell Eyring nanofluid flow in a porous medium. Flow is taken under the influence of zero mass flux and convective boundary conditions at the surface and a chemical reaction in the mass equation. The heat transfer flow is scrutinized with non-linear thermal radiation. E...
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... surface is stretched nonlinearly along xand y-directions with velocities [u w = a(x + y) n ] and [v w = b(x + y) n ] respectively. However, the direction of the third axis (z-axis) is along the normal direction with a, n, b > 0. Figure 1 depicts the envisioned mathematical model. The Cauchy stress tensor T for the Eyring-Powel fluid is depicted as: ...
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... lowering the fluid velocity. To understand Figure 12 is drawn to witness the consequences of Schmidt numberScversus the concentration field. For higher estimates of Sc feeble concentration is observed. ...
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... this feeble mass diffusivity lowers the concentration. The characteristics of δ 1 and Nt on the Nusselt number are shown in Figure 13. Interestingly Nusselt number decreases for both Nt and δ 1 . ...
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... surface is stretched nonlinearly along xand y-directions with velocities [u w = a(x + y) n ] and [v w = b(x + y) n ] respectively. However, the direction of the third axis (z-axis) is along the normal direction with a, n, b > 0. Figure 1 depicts the envisioned mathematical model. The Cauchy stress tensor T for the Eyring-Powel fluid is depicted as: ...
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... lowering the fluid velocity. To understand Figure 12 is drawn to witness the consequences of Schmidt numberScversus the concentration field. For higher estimates of Sc feeble concentration is observed. ...
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Citations
... Das et al. 4 reported variable thermal aspects in a nanofluid flow by moving wedge having surface slip. Tlili et al. 5 investigated 3-D Eyring Powell nanofluid flow through the porous channel having Darcy Forchheimer relation. Hayat et al. 6 investigated radiative thixotropic nanofluid flow having magnetic field and Joule heating effects. ...
... It is defined as 5,19 ; ...
Entropy generation has gained consideration of researchers due to its applications. Applications of entropy occur in chil-lers, desert collars, refrigerators, and all type of heat transfer devices. Due to vast range of applications of entropy, in this study irreversibility in Sutterby nanofluid flow by stretchable cylinder is discussed. While reporting momentum equation magnetic field and mixed convection effects are considered. Influences of radiation, Joule heating, and heat source are deliberated in the expression for thermal energy. Chemical reaction impact is taken in the modeling of concentration equation. Irreversibility for the considered flow is obtained by utilizing thermodynamics second law. Dimensional partial differential equations (PDEs) representing the flow are transformed to dimensionless ordinary differential equations(ODEs) through similarity transformations. Solution of ODEs is obtained via NDSolve code of Mathematica. Impact of flow parameters on velocity, entropy, temperature, Bejan number, and concentration are studied graphically. Engineering quantities are analyzed numerically. It is noticed through achieved results that velocity drops for higher magnetic variable while upsurges for higher curvature variable. Thermal field boosts for higher magnetic and heat source parameter. For rising diffusion and radiation variables entropy improves.
... As demonstrated by latter references, the interest of the scientific community in this kind of system includes the analysis of flows through a DF porous medium alongside different physical phenomena, such as magnetohydrodynamics [5,6], homogeneous-heterogeneous chemical reactions [7], mass transfer [8], and nanofluids [9], to name a few. Some works have even combined several of these phenomena to consider multiphysics in their analysis [10][11][12][13]. One interesting application of the DF model corresponds to the analysis and characterization of biological systems [14,15]. ...
The flow through geometrically complex structures is an important engineering problem. In this work, the laminar flow through Triply Periodic Minimal Surface (TPMS) structures is numerically analyzed using Computational Fluid Dynamics (CFD) simulations. Two different TPMS structures were designed, and their porosity was characterized as a function of the isovalue. Then, CFD simulations were implemented to compute the pressure drop by systematically varying the flow velocity and the porosity of the structure. A Darcy–Forchheimer model was fitted to CFD results to
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... Muskat [33] coined the term "flow across Darcy-Forchheimer medium", which has many uses and great value in contemporary ecological and medicinal frameworks. We can see the applications in water filtration and breakthrough, thermal management using geothermal exchange, sewage disposal networks, oil supply in various systems and many more [34][35][36]. An investigation of Darcy-Forchheimer nanofluid flow in a permeable medium, including an analysis of entropy generation, was performed by Khan et al. [37]. ...
This work investigates the MHD flow of three chemically reactive nanofluids Fe3O4−H2O, Cu−H2O and Ag−H2O over a stretching sheet with the effects of Forchheimer number and thermal radiation. A fourth order RK-shooting technique is used to solve the governing system equations, which has been turned into a non-linear ordinary differential equations by using similarity transformations. The various output values related to the three nano particles are displayed using plots and tables. The various outputs displayed are velocity, temperature and concentration. While the temperature and concentration are seen to increase with the Forchheimer number's intensification, the liquid's velocity is seen to decrease. Temperature increases for large values of thermal radiation, trend is opposite for concentration. For greater Forchheimer number, decreasing trend in the Skin friction and the rate of heat and mass transfer is noted. Greater radiation increases the mass transfer rate and decreases the heat transfer rate. Interestingly, Fe3O4−H2O nanofluid beat the target velocity, be subsequent Cu−H2O and Ag−H2O nanofluids, though the temperature profile exhibits the dissimilar behaviour. This model has achieved excellent validation with the existing literature.
... The Hall effect and chemical reaction with hybrid nanofluid using physical properties are discussed by Mkhatshwa et al. [14]. Tlili et al. [15] explained the 3D flow of the Eyring-Powell nanolqiuid in the Darcy-Forchheimer over a permeable medium. The micropolar flow of Carreau nanoliquid with heat transport over the stretching surface was described by Atashafrooz [16]. ...
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... Rashid et al. [50] documented the suction variable affect and the geometric impact of nanomaterials on the nanoliquid flow and energy conduction across a permeable medium. The Darcy Forchhemier nanoliquid through permeable medium is addressed by Tlili et al. [51]. The energy communication in Eyring-Powell fluid flowing through a stratified extending sheet was investigated by Dawar et al. [52] and Bilal and Ashbar [53]. ...
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... They considered that the lower surface is a stretching surface and took into account heat transfer, thermophoresis, and Brownian motion. Tlili et al. [12] proposed a theoretical model for the flow of a nanofluid through a DF porous media over a non-linear stretching surface, considering non-linear heat radiation and entropy generation analysis. ...
... The following expression represents the entropy generation for the present modelled problem [4,6,7,11,[45][46][47][48]: ...
The flow over a wedge with activation energy and chemical reaction gains widespread applications in compound creations, food processing, insulation, oil reservoirs, catalysis, etc. The vast applicability of activation energy with a binary chemical reaction comprising multiple diffusions and the time-dependent nature of the entropy-optimized flow has drawn our attention to this work. The consequences of time, activation energy, liquid hydrogen and oxygen diffusions, and magnetic field over a wedge in the quadratic combined convection flow with entropy analysis are explored to achieve more mechanically realistic outcomes. The nonlinear dimensional coupled partial differential equations (PDEs) that govern the modelled phenomenon are tackled with non-similar transformations, the Quasilinearization technique followed by an implicit finite difference scheme and Varga’s matrix inverse procedure. The entropy generation can be minimized by upsurging the magnitude of the temperature difference ratio attribute ΩT. The higher wedge angle results in a lower fluid motion.
... The Hall effect and impact of a chemical reaction on the physical properties of a hybrid nanofluid were discussed by Mkhatshwaet et al. [13]. Tlili et al. [14] explained the 3-D flow of Eyring-Powell nano liquid in the Darcy-Forchheimer [15] over a porous medium. The effect of Lorentz force on Ree-Eyring nanoliquid past a paraboloid surface was studied by Khan and co-workers [7]. ...
Following improvements in devices used in biomedical engineering, cancer treatments, and thermal extrusion systems, this report explores the dynamics of Ree-Eyring nanofluid when subject to free convection, bioconvection, heat source, and thermal radiation over a convection-heated Riga plate. Bioconvection is assessed in light of the movement of the motile microorganisms that stabilize the dispersion of nanoparticles in the fluid. The impact of thermophoresis and Brownian motion, critical in the flow of heat and mass is also considered, together with the convective boundary condition. In many manufacturing sectors, non-Newtonian nanofluid flow is a crucial cooling component. Based on these factors, partial differential equations-the governing equations that model the transportation phenomena-are converted into nonlinear ordinary differential equations using the relevant relations. Finally, the nonlinear differential equations are solved using the homotopy analysis method (HAM), and the solutions are displayed in graphs representing distinct fluid flow parameters. It is conclusively found that the skin friction coefficient increases as the mixed convection parameter value rises, while the opposite effect is seen as the bioconvection Rayleigh number grows.
... They observed that Maxwell, curvature, and unsteadiness parameters upshots the concentration distribution. Tlili et al. [13] analyzed the entropy generation in Darcy Forchheimer nanofluid flow. One of the main observations was that the boosting Biot number hikes the energy of the fluid. ...
In this numerical study, the effect of quartic autocatalysis type of chemical reaction, buoyancy force and thermal radiation phenomenon and magnetic effect on tangent hyperbolic nanofluid past an upper horizontal surface of a paraboloid has been studied. By considering the Buongiorno model approach, a diffusion of unequal coefficients in the presence of gyrotactic microorganism is discussed. Implementation of microorganism's idea is used to stabilize the nanoparticles through bioconvection. The modeled PDEs of the problems are converted into nonlinear ODEs with the assistant of the similarity transformations. To tackle nonlinear ODEs, MATLAB package bvp4c is used. In addition, a hallmark of the Matlab code with the reported results in the literature is achieved by benchmarking. The variations in motion, concentration, temperature, and motile density due to sundry parameters have been analyzed in-depth via graphs. Our analysis shows that the density profile of motile of microorganism is hiked with an increment in the bioconvection Rayleigh number but decreases for higher thermal Grashof number.
... The radiative transport of nanofluidic confined by a bended surface with additional impact of convective constraints was worked out by Acharya [12]. Tlili et al. [13] test the three-dimensional Powell Eyring flow of nanofluid through the porous channel of Darcy Forchheimer. Amjad et al. [14] inspected the curved surface on which micropolar nanoliquids flow is expelled to observe the work of these flows and the production of heat through a stretched layer. ...
This research communicates the thermal assessment of Sutterby nanofluid containing the gyrotactic microorganisms with solutal and Marangoni boundaries. The applications of melting phenomenon and thermal conductivity are also considered. The flow is confined by a stretched cylinder. The prospective of Brownian motion and thermophoresis diffusions are also taken account via Buongiorno nanofluid model. The problem is formulated with help of governing relations and equations which are altered into dimensionless form via appropriate variables. The numerical scheme based on shooting scheme is employed to access the solution. A comparative analysis is performed to verify the approximated solution. The observations reveal that the velocity profile enhanced with the Marangoni number while a declining velocity profile has been observed with Sutterby nanofluid parameter and Darcy resistance parameter. The nanofluid temperature get rise with thermal conductivity parameter and thermal Biot number. An arising profile of nanofluid concentration is observed for concentration conductivity parameter and buoyancy ratio parameter.
