Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane by H. K. Mondal, T. K. Chaudhury

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Effect of thermophoresis on particle deposition on an inclined plate in variable viscosity fluid flow within a porous medium by J.S. Huang, H.H. Hsu

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A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium by Kashif Ali Abro, Imran Qasim Memon, Ali Yousef, Qasem M. Al-Mdallal

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Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates by AbdelLatif Sa’adAldin, Naji Qatanani

“…Finite element solution of unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous medium between two parallel plates is presented in the presence of a transverse magnetic field and Hall effect. …”
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Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform by Mazhar Hussain, Mubashir Qayyum, Sidra Afzal

“…The fluid is electrically conducting under the influence of uniform transverse magnetic field and passing through the porous medium. MHD flows are induced by imposed periodic pressure gradients with smaller oscillations. …”
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Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity by M. B. K. Moorthy, K. Senthilvadivu

“…The heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium subject to variable viscosity are numerically analyzed, by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. …”
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Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect by Punnamchandar Bitla, Yitagesu Daba Kore

“…In this study, the steady hydromagnetic flow of two immiscible couple stress fluids through a uniform porous medium in a cylindrical pipe with slip effect is investigated analytically. …”
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On Cattaneo-Chrystov heat flux model for nanofluid flow on Darcy–Forchheimer porous medium past unsteady stretching cylinder by Sreedhar Sobhanapuram, S.V.V Rama Devi, Charankumar Ganteda, Rajyalakshmi Kottapalli, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat

“…In a Darcy-Forchheimer porous medium with variable thermal conductivity, this work describes the convective transport mechanisms of Williamson nanofluid and nanofluid flow via an unstable stretched cylindrical sheet. …”
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Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration by Islam M. Eldesoky

“…The effects of slip condition, magnetic field, porous medium, and body acceleration have been discussed. …”
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Impact of Synthetic Porous Medium Geometric Properties on Solute Transport Using Direct 3D Pore-Scale Simulations by Paolo Roberto Di Palma, Nicolas Guyennon, Andrea Parmigiani, Christian Huber, Falk Heβe, Emanuele Romano

“…Our findings suggest that the advective transport is primarily affected by the specific surface area and the mean curvature of the porous medium, while the effective diffusion coefficient scales as the inverse of the tortuosity squared. …”
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General Solution for Unsteady MHD Natural Convection Flow with Arbitrary Motion of the Infinite Vertical Plate Embedded in Porous Medium by Sami Ul Haq, Hammad Khaliq, Saeed Ullah Jan, Aisha M. Alqahtani, Ilyas Khan, Md. Nur Alam

“…This article has concentrated on heat transfer analysis in the unsteady MHD natural convection flow of viscous fluid under radiation and uniform heat flux over an infinite vertical plate embedded in a porous medium. Overall solutions are found for temperature as well as velocity by the Laplace transform techniques. …”
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A computational role of blood nanofluid induced by a stenosed artery with porous medium and thermophoretic particle deposition effects by Shivalila Hangaragi, N. Neelima, N. Beemkumar, Ankur Kulshreshta, Umair Khan, Noreen Sher Akbar, Mohammad Kanan, Mona Mahmoud

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Mixed Convection over an Inclined Wavy Surface in a Nanofluid Saturated Non-Darcy Porous Medium with Radiation Effect by Darbhasayanam Srinivasacharya, Poshala Vijay Kumar

“…The problem of mixed convection in a nanofluid along an inclined wavy surface embedded in a non-Darcy porous medium with radiation effect is analyzed. Coordinate transformation is employed to transform the complex wavy surface to a smooth surface. …”
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Fractional Analysis of MHD Boundary Layer Flow over a Stretching Sheet in Porous Medium: A New Stochastic Method by Imran Khan, Hakeem Ullah, Hussain AlSalman, Mehreen Fiza, Saeed Islam, Muhammad Shoaib, Muhammad Asif Zahoor Raja, Abdu Gumaei, Farkhanda Ikhlaq

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Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative by Pongsakorn Sunthrayuth, A. A. Alderremy, Fazal Ghani, Ayékotan M. J. Tchalla, Shaban Aly, Yasser Elmasry

“…Theoretically, this work describes the exact solutions of fractional Casson fluid through a channel under the effect of MHD and porous medium. The unsteady fluid motion of the bottom plate, which is confined by parallel but perpendicular sidewalls, supports the flow. …”
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Application of Daftardar Jafari Method to First Grade MHD Squeezing Fluid Flow in a Porous Medium with Slip Boundary Condition by Inayat Ullah, M. T. Rahim, Hamid Khan

“…In the present work, in the presence of magnetic field and with slip boundary condition, squeezing flow of a Newtonian fluid in a porous medium between two large parallel plates is investigated. …”
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Analysis of Metallic Nanoparticles (Cu, Al2O3, and SWCNTs) on Magnetohydrodynamics Water-Based Nanofluid through a Porous Medium by P. K. Pattnaik, S. K. Parida, S. R. Mishra, M. Ali Abbas, M. M. Bhatti

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Chemical Reaction Effects on the Flow of Titanium Dioxide–Water in a Mixed Convective Nanofluid along an Inclined Plate in a Porous Medium by Md. Nasir Uddin, Kakali Chowdhury, Jannatul Ferdows Mim

“…An inclined plate is being approached by a mixed convective boundary layer nanofluid flow of titanium dioxide–water through a porous medium. A numerical analysis has been done to investigate the effects of chemical reactions on the considered nanofluid flow. …”
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Analysis of the Physical Behavior of the Periodic Mixed-Convection Flow around a Nonconducting Horizontal Circular Cylinder Embedded in a Porous Medium by Muhammad Ashraf, Zia Ullah, Saqib Zia, Sayer O. Alharbi, Dumitru Baleanu, Ilyas Khan

“…The impact of emerging parameters such as porous medium parameter Ω, Richardson number λ, magnetic force parameter ξ, and Prandtl number Pr on skin friction, heat transfer, and current density is interpreted graphically. …”
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A Pseudopotential Lattice Boltzmann Method for Simulation of Two-Phase Flow Transport in Porous Medium at High-Density and High–Viscosity Ratios by Eslam Ezzatneshan, Reza Goharimehr

“…Then, according to the results obtained, a conclusion has been made to choose an efficient numerical algorithm, including an appropriate collision operator, a realistic EoS, and an accurate forcing scheme, for simulation of multiphase flow transport through a porous medium. The patterns of two-phase flow transport through the porous medium are predicted using the present numerical scheme in different flow conditions defined by the capillary number and the dynamic viscosity ratio. …”
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