Slip boundaries effects on double-diffusive convection of magneto-pseudoplastic nanofluid on peristaltic flux in an inclined asymmetric channel

The implications of double-diffusive convection and an inclined magnetic field on the peristaltic transport of a pseudoplastic nanofluid in an inclined asymmetric channel with slip boundaries were investigated in this research. The present problem is mathematically modeled using lubrication techniques, which results in highly nonlinear equations for the proposed problem that is solved using a numerical technique. The graphical findings show how temperature, pressure rise, concentration, pressure gradient, nanoparticle fraction, and stream functions affect key physical parameters of interest. It is revealed that the velocity value rises as the velocity slip parameter, temperature, and solutal Grashof number rise. Furthermore, increasing thermal slip, Dufour, Soret, Brownian motion, and thermophoresis factors increase the temperature profile. If [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] the viscous model of classical Newtonian fluid is a special case of the preceding model.

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Partial Slip Impact on Double Diffusive Convection Flow of Magneto-Carreau Nanofluid through Inclined Peristaltic Asymmetric Channel

Mathematical Problems in Engineering ◽

10.1155/2021/2475846 ◽

2021 ◽

Vol 2021 ◽

pp. 1-14

Author(s):

Safia Akram ◽

Maria Athar ◽

Khalid Saeed ◽

Taseer Muhammad ◽

Mir Yasir Umair

Keyword(s):

Volume Fraction ◽

Pressure Rise ◽

Partial Slip ◽

Convection Flow ◽

Double Diffusive Convection ◽

Asymmetric Channel ◽

Slip Parameter ◽

Diffusive Convection ◽

Carreau Nanofluid ◽

Double Diffusive

The significance of partial slip on double diffusive convection on magneto-Carreau nanofluid through inclined peristaltic asymmetric channel is examined in this paper. The two-dimensional and directional flow of a magneto-Carreau nanofluid is mathematically described in detail. Under the lubrication technique, the proposed model is simplified. The solutions of extremely nonlinear partial differential equations are calculated using a numerical technique. Graphical data are displayed using Mathematica software and Matlab to examine how temperature, pressure rise, concentration, pressure gradient, velocity profile, nanoparticle volume fraction, and stream functions behave on emerging parameters. It is noticed that as the velocity slip parameter is increased, the axial velocity at the channel’s center increases. Additionally, near the boundary, opposite behavior is observed. The temperature, concentration, and nanoparticle profile drops by increasing thermal slip, concentration slip, and nanoparticle slip parameter.

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Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel

International Journal of Biomathematics ◽

10.1142/s1793524514500648 ◽

2014 ◽

Vol 07 (06) ◽

pp. 1450064 ◽

Cited By ~ 9

Author(s):

K. Vajravelu ◽

S. Sreenadh ◽

G. Sucharitha ◽

P. Lakshminarayana

Keyword(s):

Flow Rate ◽

Magnetic Parameter ◽

Volume Flow Rate ◽

Wave Train ◽

Pressure Rise ◽

Volume Flow ◽

Jeffrey Fluid ◽

Physical Parameters ◽

Asymmetric Channel ◽

Inclined Asymmetric Channel

Peristaltic flow of a conducting Jeffrey fluid in an inclined asymmetric channel is investigated. The channel asymmetry is produced by considering a peristaltic wave train on the flexible walls of the channel with different amplitudes and phases. The nonlinear governing equations are solved analytically by a perturbation technique. The expressions for the stream function, axial velocity and the pressure rise per wavelength are determined in terms of the Jeffrey number λ1, the Froude number Fr, the perturbation parameter δ, the angle of inclination θ and the phase difference ϕ. Effects of the physical parameters on the velocity field and the pumping characteristics are discussed. It is observed that the size of the trapping bolus increase with an increase in the magnetic parameter and the volume flow rate. That is, the magnetic parameter and the volume flow rate have strong influence on the trapping bolus phenomenon.

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The Onset of Double-Diffusive Convection in a Two-Layer System With a Viscoelastic Fluid-Saturated Porous Medium Under High-Frequency Vibration

Journal of Heat Transfer ◽

10.1115/1.4048621 ◽

2020 ◽

Vol 143 (1) ◽

Author(s):

Moli Zhao ◽

Huan Zhao ◽

Shaowei Wang ◽

Chen Yin

Keyword(s):

Viscoelastic Fluid ◽

High Frequency ◽

Physical Parameters ◽

Neutral Stability ◽

Double Diffusive Convection ◽

Layer System ◽

High Frequency Vibration ◽

Diffusive Convection ◽

Wave Numbers ◽

Double Diffusive

Abstract The effect of high frequency vibration in the gravity field on the double-diffusive convection in a two-layer system with a viscoelastic fluid-saturated porous layer is studied. The averaging method is employed to split the unknown functions into a periodic rapidly varying part and a slower mean part. Then, the governing equation of perturbations is numerically solved by the Chebyshev tau method and QZ decomposition method. The influence of physical parameters on the stability of system is investigated. It is shown that the neutral stability curves are bimodal under high frequency vibration. The parameter of the high frequency vibration mainly stabilizes the pure fluid layer for greater wave numbers and has a weak impact on the whole system for smaller wave numbers.

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Peristaltic transport of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887818501815 ◽

2018 ◽

Vol 15 (11) ◽

pp. 1850181 ◽

Cited By ~ 10

Author(s):

Safia Akram ◽

M. Zafar ◽

S. Nadeem

Keyword(s):

Fluid Model ◽

Concentration Field ◽

Pressure Rise ◽

Peristaltic Transport ◽

Jeffrey Fluid ◽

Double Diffusive Convection ◽

Long Wavelength ◽

Diffusive Convection ◽

Stream Functions ◽

Double Diffusive

In this paper, the effects of peristaltic transport with double-diffusive convection in nanofluids through an asymmetric channel with different waveforms is presented. Mathematical modeling for two-dimensional and two-directional flows of a Jeffery fluid model along with double-diffusive convection in nanofluids are given. Exact solutions are obtained for nanoparticle fraction field, concentration field, temperature field, stream functions, pressure gradient and pressure rise in terms of axial and transverse coordinates under the restrictions of long wavelength and low Reynolds number. With the help of computational and graphical results, the effects of Brownian motion, thermospheres, Dufour, Soret and Grashof numbers (thermal, concentration, nanoparticles) on peristaltic flow patterns with double-diffusive convection are discussed.

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