Heat Transport Phenomena for the Darcy–Forchheimer Flow of Casson Fluid over Stretching Sheets with Electro-Osmosis Forces and Newtonian Heating

Zhang, Xianqin; Yang, Dezhi; Rehman, M. Israr Ur; Hamid, Aamir

doi:10.3390/math9192525

Cited by 10 publications

(2 citation statements)

References 43 publications

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“…Magnetohydrodynamic Casson fluid under the aligned magnetic field with inconstant thickness was investigated by Saravana et al [3]. Zhang et al [4] studied the heat transport characteristic flow of the Casson fluid with electroosmosis forces. Recently, heat transfer on the Casson nanofluid overflow past a Riga plate (one of the external agents used to limit the friction force and control the flow of fluid) was investigated by Upreti et al [5].…”

Section: Introductionmentioning

confidence: 99%

Dual Solutions and Stability Analysis of Cu-H2O-Casson Nanofluid Convection past a Heated Stretching/Shrinking Slippery Sheet in a Porous Medium

Duguma,

Makinde,

Enyadene

2023

Computational and Mathematical Methods

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In this study, we examined the impact of Cu-H2O nanoparticles on two-dimensional Casson nanofluid flows past permeable stretching/shrinking sheet embedded in a Darcy-Forchheimer porous medium in the presence of slipperiness of surface, suction/injection, viscous dissipation, and convective heating. Using some realistic assumptions and appropriate similarity transformations, the governing nonlinear partial differential equations were formulated and transformed into a system of nonlinear ordinary differential equations and then numerically solved by using the shooting technique. Numerical results are displayed for dimensionless fluid velocity and temperature profiles, skin friction, and the local Nusselt number. The impacts of different governing physical parameters on these quantities are presented and discussed using graphs, tables, and a chart. For the specific range of shrinking sheet, the result shows that dual solutions exist, and temporal stability analysis is performed by introducing small disturbances to determine the stable solutions. It is detected that the upper branch solution is hydrodynamically stable and substantially realistic; however, the lower branch solution is unstable and physically unachievable. The fluid flow stability is obtained by enhancing the suction, surface slipperiness, and viscous dissipation parameters. However, augmenting the values of the Casson factor, Cu-H2O nanoparticle volume fraction, porous medium, porous medium inertia, and convective heating parameters increases the blow-up stability of the fluid flow. The rate of heat transfer enhances with the increment in the Casson factor, porous medium, porous medium inertia, suction, velocity ratio, nanoparticle volume fraction, and convective heating parameters, whereas it reduces as the slipperiness of the surface and viscous dissipation parameters rise. Increment of Cu-H2O nanoparticle volume fraction into the Casson fluid boosts the heat transfer enhancement rate higher for the shrinking sheet surface.

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Section: Introductionmentioning

confidence: 99%

Dual Solutions and Stability Analysis of Cu-H2O-Casson Nanofluid Convection past a Heated Stretching/Shrinking Slippery Sheet in a Porous Medium

Duguma,

Makinde,

Enyadene

2023

Computational and Mathematical Methods

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“…Furthermore, Farooq et al [15] considered the non-Darcy model to show the flow of the Casson fluid in an enclosure. Darcy-Forchheimer Casson fluid flow over a stretching sheets was investigated by Zhang et al [16]. Consequently, Li et al [17] investigated the effects of activation energy on a Darcy-Forchheimer flow of a Casson fluid through a channel.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation Analysis of Natural Convection in a Porous Medium with Casson Fluid using Finite Element Method

Cham,

Islam,

Saha

2023

Preprint

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This study presents a comprehensive investigation of entropy generation during natural convection in a porous medium with Casson fluid. The governing equations, including the momentum, energy, and entropy balance equations, are solved numerically using finite element method. Through the analysis, various parameters affecting entropy generation are investigated, such as the Casson fluid parameter, Radiation, Prandtl number, and Rayleigh number. The results indicate that the Casson fluid parameter significantly influences the flow and heat transfer characteristics, while the Darcy number and Rayleigh number control the intensity of natural convection. Moreover, the Prandtl number determines the relative significance of heat transfer compared to viscous effects.

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Impact of bioconvection on Darcy‐Forchheimer flow of MHD Carreau fluid with Arrhenius activation energy

Rehman,

Chen,

Hamid

2023

Z Angew Math Mech

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This research examines the bioconvection impact on mixed convective Carreau fluid flowing toward permeable stretched surface with joule heating and Darcy‐Forchheimer effect. The evaluation has been attained in the presence of convective conditions, Joule heating, thermal radiative, mixed convective and motile microorganisms, which have not been dreamed before. Flow in permeable medium is characterized by utilizing Darcy‐Forchheimer model. Appropriate similarity factors are utilized to obtain the ordinary differential equations (ODEs). The derived mathematical formulation is now numerically solved with the help of R‐K 4th order scheme based on shooting approach. The results of the motile microorganism number, velocity, Sherwood number, temperature, motile density number, drag coefficient, concentration, and local Nusselt number are revealed graphically. The effect of bioconvection Lewis number on the motile microorganisms and motile density profile are quite inverse. Further, higher values of Schmidt number decrease the concentration field.

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Heat Transport Phenomena for the Darcy–Forchheimer Flow of Casson Fluid over Stretching Sheets with Electro-Osmosis Forces and Newtonian Heating

Cited by 10 publications

References 43 publications

Dual Solutions and Stability Analysis of Cu-H2O-Casson Nanofluid Convection past a Heated Stretching/Shrinking Slippery Sheet in a Porous Medium

Dual Solutions and Stability Analysis of Cu-H2O-Casson Nanofluid Convection past a Heated Stretching/Shrinking Slippery Sheet in a Porous Medium

Entropy Generation Analysis of Natural Convection in a Porous Medium with Casson Fluid using Finite Element Method

Impact of bioconvection on Darcy‐Forchheimer flow of MHD Carreau fluid with Arrhenius activation energy

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