2022
DOI: 10.3390/pr10050906
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Darcy–Forchheimer Relation Influence on MHD Dissipative Third-Grade Fluid Flow and Heat Transfer in Porous Medium with Joule Heating Effects: A Numerical Approach

Abstract: The current investigations are carried out to study the influence of the Darcy–Forchheimer relation on third-grade fluid flow and heat transfer over an angled exponentially stretching sheet embedded in a porous medium. In the current study, the applied magnetic field, Joule heating, thermaldiffusion, viscous dissipation, and diffusion-thermo effects are incorporated. The proposed model in terms of partial differential equations is transformed into ordinary differential equations using suitable similarity trans… Show more

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Cited by 30 publications
(8 citation statements)
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“…Xuan (2022) reviewed non-linear electro-kinetic fluid flow taking the effects of induced charge to Joule heating. Abbas et al (2022) debated on the influence of the Darcy-Forchheimer model on dissipative MHD fluid flow using Joule heating effects on a porous sheet and explored that with progression in the thermal diffusion factor, the temperature, concentration, and velocity characteristics augmented. Khan et al (2022b) examined the production of irreversibility for hydromagnetic fluid flow using the Darcy-Forchheimer model and Joule heating effects and explained the thermal flow phenomenon both for prescribed thermal flux and surface temperatures.…”
Section: Introductionmentioning
confidence: 99%
“…Xuan (2022) reviewed non-linear electro-kinetic fluid flow taking the effects of induced charge to Joule heating. Abbas et al (2022) debated on the influence of the Darcy-Forchheimer model on dissipative MHD fluid flow using Joule heating effects on a porous sheet and explored that with progression in the thermal diffusion factor, the temperature, concentration, and velocity characteristics augmented. Khan et al (2022b) examined the production of irreversibility for hydromagnetic fluid flow using the Darcy-Forchheimer model and Joule heating effects and explained the thermal flow phenomenon both for prescribed thermal flux and surface temperatures.…”
Section: Introductionmentioning
confidence: 99%
“…Xuan (2022) reviewed non-linear electro-kinetic fluid flow taking the effects of induced charge to Joule heating. Abbas et al (2022) debated on the influence of the Darcy-Forchheimer model on dissipative MHD fluid flow using Joule heating effects on a porous sheet and explored that with progression in the thermal diffusion factor, the temperature, concentration, and velocity characteristics augmented. Khan et al (2022b) examined the production of irreversibility for hydromagnetic fluid flow using the Darcy-Forchheimer model and Joule heating effects and explained the thermal flow phenomenon both for prescribed thermal flux and surface temperatures.…”
Section: Introductionmentioning
confidence: 99%
“…2 The presence of porous media can significantly enhance the heat and mass transfer rate when different free or mixed convective mechanisms are considered with a combination of varying boundary conditions and fluid properties. [3][4][5][6][7] Natural convection in saturated porous media occurs when two independent mechanisms of diffusion are present in a porous medium, resulting in two different concentration gradients. This phenomenon has been extensively studied due to its relevance in various applications such as geothermal energy (heat and mass transfer in geothermal reservoirs), oil and gas production (extraction of oil from reservoirs and maximizing the production and recovery of oil), and materials processing (production of ceramic materials and the formation of a uniform and dense ceramic structure).…”
Section: Introductionmentioning
confidence: 99%
“…The concentration difference parameter can also maximize the entropy and minimizes the dimensionless Bejan number 2 . The presence of porous media can significantly enhance the heat and mass transfer rate when different free or mixed convective mechanisms are considered with a combination of varying boundary conditions and fluid properties 3–7 …”
Section: Introductionmentioning
confidence: 99%