MHD peristaltic flow of non-Newtonian power-law nanofluid through a non-Darcy porous medium inside a non-uniform inclined channel

Eldabe, Nabil T.; Abou-zeid, Mohamed Y.; Mohamed, Mona A. A.; Abd-Elmoneim, Mohamed M.

doi:10.1007/s00419-020-01810-3

Cited by 59 publications

(31 citation statements)

References 30 publications

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“…Flows through a porous medium and bounded by slippery walls [20][21][22][23][24] of the channel are reported, to highlight the significant role in mechanical industries. In [25][26] Eldabe et al explored the magnetohydrodynamics (MHD) of respectively Power-law fluid and Williamson fluid, respectively. For an effective role of porous medium separately, non-Darcy law and simply Darcy' law are employed.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

et al. 2021

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The current investigation deals with the numerical simulation of cross-flow of non-Newtonian fluid. Flow dynamics are studied by considering a uniform channel bounded by porous walls. Transversely acting magnetic fields have also been taken into account on the two-dimensional flow of Tangent-Hyperbolic fluid.Skin friction is addressed by employing the lubrication effects on the porous channel. In addition to this, Fourier's law of conduction is incorporated to highlight the heating effects which attenuates the shear thickening posture of the fluid. Highly nonlinear and coupled differential equations are solved numerically by using the Runge-Kutta method with shooting technique. Thermal and momentum transport is simulated by generating the numerical MATLAB codes. Study reveals that slippery porous walls/channels can effectively be used in chemical and mechanical industries which deal with various kinds of highly viscous flows. Moreover, more energy is contributed by Peclet number and viscous heating parameter and improve the heat transfer rate.Nomenclature: 𝑀, Hartmann number; 𝛽, Slip parameter; 𝑚, Power-law index parameter; 𝑃𝑒, Peclet number; 𝐵𝑟, Viscous-heating parameter/ Brinkman number; 𝐾, Thermal conductivity; 𝑃, pressure-gradient parameter; T, Cauchy stress tensor; 𝜇 0 , Zero shear rate viscosity; 𝜇 ∞ , The infinite shear rate viscosity; 𝑅𝑒, Reynolds number; 𝜎, The electric conductivity; 𝐴 1 , Riviline-Erickson tensor; 𝑆, Extra stress tensor; 𝑇 0 , The temperature of the lower wall; 𝑇 ℎ , The temperature of the heated wall; 𝜌, The density of the fluid; 𝐶 𝑝 , Specific heat; 𝑣 0 , Suction velocity; 𝑇, Dimensionless temperature; Γ, The time constant; 𝐽, The current vector; 𝐵, The uniform external magnetic field; 𝑡, Time

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Section: Introductionmentioning

confidence: 99%

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

et al. 2021

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“…An analytical investigation of micropolar fluid MHD flow accross a porous medium influenced by sinusoidal peristaltic waves traveling down the channel walls was obtained by Pandey and Chaube 16 . El-Dabe et al 17 discovered the steady non-Newtonian nanofluid flow peristaltic motion with heat transfer accross a nonuniform inclined channel. The integrated effects of the thermophoresis, buoyancy forces, Brownian motion, and magnetic field on an incompressible Jeffrey nanofluid peristaltic flow across an asymmetric channel were investigated 18 .…”

Section: Introductionmentioning

confidence: 99%

Numerical solution for MHD peristaltic transport in an inclined nanofluid symmetric channel with porous medium

Abd-Alla

Thabet

Bayones

2022

Sci Rep

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The significance of the study is to determine of transferred heat and mass impact on the magneto-hydrodynamic peristalsis of Jeffery nanofluid through porous media with inclined symmetric channels whose walls are induced by peristaltic motion within porous media. The aim of this investagtion is to study the influence of various types of parameters such as Brownian motion, thermophoresis, buoyancy forces, and magnetic fields are studies on concentration, temperature, and axial velocity. The numerical solution has been achieved according to the long-wavelength and low Reynolds number approximation utilizing the MATLAB bvp4c function. The resultant dimensions of nonlinear governing equations were approached numerically through the Runge–Kutta- Fehlberg integration scheme, a MATLAB program. The influence of different factors such as the ratio of relaxation to retardation times, nanoparticle Grashof number, and magnetic field was discussed on concentration, temperature, and velocity profiles. tables and graphs were used to demonstrate the numerically computed numerical results. Plotting graphs were utilized for evaluating the pertinent parameters impacts on the aforementioned quantities based on computational results. According to the findings, the effect of the parameters are significant.

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“…Jain and Bhargava [ 18 ] scrutinized the MHD free convective non-Newtonian fluid flow inside a wavy enclosure with the use of the Meshfree method with the implementation of the magnetic field in the horizontal direction in which they noted that transfer of heat is much higher when Rayleigh number is high. El-Dabe et al [ 19 ] used a numerical scheme for the study of MHD non-Newtonian power-law nanofluid flow in a non-Darcy porous media toward the inclined channel with Ohmic dissipation. In this evaluation, they found that nanoparticles concentration is the increasing function of the Eckert number.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer analysis of the mixed convective flow of magnetohydrodynamic hybrid nanofluid past a stretching sheet with velocity and thermal slip conditions

et al. 2021

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The present study is related to the analytical investigation of the magnetohydrodynamic flow of Ag − MgO/ water hybrid nanoliquid with slip conditions via an extending surface. The thermal radiation and Joule heating effects are incorporated within the existing hybrid nanofluid model. The system of higher-order partial differential equations is converted to the nonlinear system of ordinary differential equations by interpreting the similarity transformations. With the implementation of a strong analytical method called HAM, the solution of resulting higher-order ordinary differential equations is obtained. The results of the skin friction coefficient, Nusselt number, velocity profile, and temperature profile of the hybrid nanofluid for varying different flow parameters are attained in the form of graphs and tables. Some important outcomes showed that the Nusselt number and skin friction are increased with the enhancement in Eckert number, stretching parameter, heat generation parameter and radiation parameter for both slip and no-slip conditions. The thermal profile of the hybrid nanofluid is higher for suction effect but lower for Eckert number, stretching parameter, magnetic field, heat generation and radiation parameter. For both slip and no-slip conditions, the hybrid nanofluid velocity shows an upward trend for both the stretching and mixed convection parameters.

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MHD peristaltic flow of non-Newtonian power-law nanofluid through a non-Darcy porous medium inside a non-uniform inclined channel

Cited by 59 publications

References 30 publications

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

Numerical solution for MHD peristaltic transport in an inclined nanofluid symmetric channel with porous medium

Heat transfer analysis of the mixed convective flow of magnetohydrodynamic hybrid nanofluid past a stretching sheet with velocity and thermal slip conditions

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