The significance of heat transfer through natural convection in stagnation point flow of prandtl fluid by Salman Zeb, Zakir Ullah, A.B. Albidah, Ilyas Khan, Waqar A. Khan

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MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction by J. Bouslimi, M. Omri, R. A. Mohamed, K. H. Mahmoud, S. M. Abo-Dahab, M. S. Soliman

“…In this article, the effect of electromagnetic force with the effect of thermal radiation on the Williamson nanofluid on a stretching surface through a porous medium was studied considering the effect of both heat generation/absorption and Joule heating. …”
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Unsteady Squeezing Flow and Heat Transfer Analysis of Magnetohydrodynamic Third-grade Nanofluid between Two Disks Embedded in a Porous Medium subjected to Thermal Radiation using Homotopy Perturbation Method by Gbeminiyi Musibau Sobamowo, Ahmed Amoo Yinusa, Mufutau Adekojo Waheed, Antonio Marcos de Oliveira Siqueira

“…In this work, nonlinear analysis of unsteady squeezing flow and heat transfer of a third-grade nanofluid between two parallel disks embedded in a porous medium under the influences of thermal radiation and temperature jump boundary conditions is studied using homotopy perturbation method. …”
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Accelerating and decelerating flow of radiatively Casson fluid between two permeable disks under convective boundary conditions by A. Naeem, Z. Abbas, M.Y. Rafiq

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Stagnation Point Flow of CoFe2O4/TiO2-H2O-Casson Nanofluid past a Slippery Stretching/Shrinking Cylindrical Surface in a Darcy–Forchheimer Porous Medium by Kifle Adula Duguma, Oluwole Daniel Makinde, Lemi Guta Enyadene

“…This paper examines the combined effects of Darcy–Forchheimer porous medium-resistant heating and viscous dissipation on stagnation point flow of a Casson nanofluid (CoFe2O4-H2O and TiO2-H2O) towards a convectively heated slippery stretching/shrinking cylindrical surface in a porous medium. …”
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Numerical Study of the Effect of Magnetic Field on Nanofluid Heat Transfer in Metal Foam Environment by Hamid Shafiee, Elaheh NikzadehAbbasi, Majid Soltani

“…Furthermore, the PEC has gained its highest value at the conditions relating to the permeable porous medium.…”
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Hydromagnetic Stability of Metallic Nanofluids (Cu-Water and Ag-Water) Using Darcy-Brinkman Model by J. Ahuja, U. Gupta, R. K. Wanchoo

“…Thermal convection of a nanofluid layer in the presence of imposed vertical magnetic field saturated by a porous medium is investigated for both-free, rigid-free, and both-rigid boundaries using Darcy-Brinkman model. …”
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Numerical Simulations on the Front Motion of Water Permeation into Anisotropic Porous Media by Xiangxiang Zhang, J. G. Wang, Xiaolin Wang, Feng Gao

“…Water permeation into a porous medium is a common but important phenomenon in many engineering fields such as hydraulic fracturing. …”
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DEHYDRATION AND DEOILING OF METAL CHIP by O. M. Djakonov

“…The new universal simple method of definition of coefficients of filtration and free infiltration of liquid in porous medium is offered.…”
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Numerical Simulation of Low-Permeability Reservoirs with considering the Dynamic Boundary Layer Effect by Chuanzhi Cui, Yingfei Sui, Xiangzhi Cheng, Yinzhu Ye, Zhen Wang

“…Surface active components, salt component, and polar molecules in the fluid may adsorb on the solid surface and form the boundary layer during low-speed flow in a porous medium, which will influence the flowing law in the porous medium. …”
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Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow by Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed

“…In this paper, we will study the existence of strong solutions for a nonlinear system of partial differential equations arising in convective flow, modeling a phenomenon of mixed convection created by a heated and diving plate in a porous medium saturated with a fluid. The main tools are Schäfer’s fixed-point theorem, the Fredholm alternative, and some theorems on second-order elliptic operators.…”
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Mixed Convective-Radiative Dissipative Magnetized Micropolar Nanofluid Flow over a Stretching Surface in Porous Media with Double Stratification and Chemical Reaction Effects: ADM-... by P. K. Pattnaik, M. M. Bhatti, S. R. Mishra, Munawwar Ali Abbas, O. Anwar Bég

“…Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. …”
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An efficient approach for solving a class of nonlinear 2D parabolic PDEs by Dongjin Kim, Wlodek Proskurowski

“…We apply our scheme to study the finite extinction phenomenon for the porous-medium equation with strong absorption. A comparison of accuracy and computational efficiency of the resulting algorithms for several test problems is presented.…”
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Solvability of the Brinkman-Forchheimer-Darcy Equation by Piotr Skrzypacz, Dongming Wei

“…The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. …”
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Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition by Huimin Yu

“…For polytropic perfect gas (P(ρ)=P0ργ), time asymptotically, it has been proved by Pan and Zhao (2009) that linear damping and slip boundary effect make the density satisfying the porous medium equation and the momentum obeying the classical Darcy's law. …”
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Effect of Colloidal Silicate on the Migration Behaviour of Strontium in Groundwater Environment of Geological Disposal Candidate Site by Rui Zuo, Kexue Han, Rongtao Shi, Fei Ding, Li Liu, Jinsheng Wang, Yanguo Teng, Jie Yang, Xin Liu

“…Three different experimental cases have been designed: (1) effect in the presence of colloidal silicate, (2) effect in the presence of a porous medium, and (3) effect in the presence of both colloidal silicate and porous medium (referred to as CS, PM, and PC, respectively). …”
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On the Lauwerier formulation of the temperature field problem in oil strata by Lyubomir Boyadjiev, Ognian Kamenov, Shyam Kalla

“…The paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). …”
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Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition by G. Ramanaiah, V. Kumaran

“…The Darcy-Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. …”
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A Fast Implicit Finite Difference Method for Fractional Advection-Dispersion Equations with Fractional Derivative Boundary Conditions by Taohua Liu, Muzhou Hou

“…Fractional advection-dispersion equations, as generalizations of classical integer-order advection-dispersion equations, are used to model the transport of passive tracers carried by fluid flow in a porous medium. In this paper, we develop an implicit finite difference method for fractional advection-dispersion equations with fractional derivative boundary conditions. …”
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Dufour and Soret Effects on Melting from a Vertical Plate Embedded in Saturated Porous Media by Basant K. Jha, Umaru Mohammed, Abiodun O. Ajibade

“…Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer in mixed convection boundary layer flow with aiding and opposing external flows from a vertical plate embedded in a liquid saturated porous medium with melting are investigated. The resulting system of nonlinear ordinary differential equations is solved numerically using Runge Kutta-Fehlberg with shooting techniques. …”
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