Numerical Study of Nonlinear Heat Transfer from a Wavy Surface to a High Permeability Medium with Pseudo-Spectral and Smoothed Particle Methods

Bég, O. Anwar; Motsa, S. S.; Bég, Tasveer A.; Abbas, AJ; Kadir, A; Sohail, Ayesha

doi:10.1007/s40819-017-0318-4

Cited by 13 publications

(12 citation statements)

References 52 publications

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“…Future investigations may generalize the analysis to consider multiple ( hybrid ) nanoparticles (triple diffusion) as opposed to unitary nanofluids, 63 porous media, and more complex duct wall features (e.g. wavy walls) 74,75 and efforts in this direction are currently underway.…”

Section: Discussionmentioning

confidence: 99%

Augmentation of heat transfer via nanofluids in duct flows using Fourier-type conditions: Theoretical and numerical study

Umavathi

Bég

2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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Motivated by developments in thermal duct processing, an investigation is presented to study the behavior of viscous nanoparticle suspensions flowing in a vertical duct subject to Fourier-type conditions. The left wall temperature is kept lower than that of the right wall. Brownian motion and thermophoresis which are invoked via the presence of nanoparticles are incorporated in the study. Numerical solutions with an efficient Runge–Kutta shooting method are also presented at all values of the control parameters. The impact of thermal Grashof number [Formula: see text], Eckert number [Formula: see text], thermophoresis [Formula: see text], and Brownian motion parameters [Formula: see text] on the velocity, temperature, and nanoparticle concentration distributions for identical [Formula: see text] and differing Biot numbers [Formula: see text] (at the duct walls) are computed and visualized graphically. With vanishing thermophoresis and Brownian motion parameters, the solutions match exactly with the earlier Newtonian viscous flow computations. Symmetric and asymmetric wall heat conditions are also acknowledged. Intensifying the thermal Grashof number, Eckert number, thermophoresis parameter, and Brownian parameter serve to amplify magnitudes of the velocity and temperature, whereas the nanoparticle concentration field is suppressed. The skin friction and Sherwood number are also computed with various combinations of the flow control parameters. Nusselt number values at the hot duct wall are enhanced with an increase in thermal buoyancy parameter, Eckert number, Brownian motion parameter, and thermophoresis parameter for equal Biot numbers. The opposite trend is computed for different Biot numbers. For any given values of Biot numbers, the mean velocity and bulk temperature are boosted with increase in thermal buoyancy parameter, Eckert number, Brownian motion parameter, and thermophoresis parameter. Hence, it may be inferred that the transport characteristics computed using Fourier-type boundary conditions are substantially different from those based on isothermal boundary conditions in nanofluid duct flows.

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Section: Discussionmentioning

confidence: 99%

Augmentation of heat transfer via nanofluids in duct flows using Fourier-type conditions: Theoretical and numerical study

Umavathi

Bég

2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…Transport in porous media continues to find extensive applications in medicine, energy systems, chemical process engineering and geosciences. These studies include both fluid flow and also convective heat and mass transfer in permeable materials arise in for example solar absorber collector systems [1], foam processing [2], geothermal power [3], borehole heat exchangers [4], wavy surface hybrid heat transfer devices [5,6], biomechanics [7], gastric biotransport [8], bio-fuel cells [9] and industrial filtration [10]. In a number of technologies, flow and heat transfer in enclosure (cavities) are of particular interest including modern fuel cell technologies and materials fabrication (crustal growth etc).…”

Section: Introductionmentioning

confidence: 99%

Numerical study of magnetohydrodynamic natural convection in a non-Darcian porous enclosure filled with electrically conducting helium gas

Bég¹,

Venkatadri²,

Prasad³

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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A theoretical and computational study of MHD natural convection in an isotropic non-Darcian porous medium saturated with electrically conducting helium gas in an enclosure in the presence of heat generation is presented. A Brinkman extended Darcy-Forchheimer model is employed and the working fluid is assumed to be incompressible. The model is non-dimensionalised and converted into pressure-velocity form. The Harlow-Welch marker and cell (MAC) finite difference technique is employed to solve the nonlinear boundary value problem via pressure-vorticity coupling. A parametric investigation of the influence of Grashof number ( Gr), Hartmann magnetic number ( Ha), Darcy number ( Da), and the internal heat generation parameter ( Γ) on streamline and isotherm distributions with Prandtl number ( Pr) is 0.71 (Helium) is conducted. The variation in local Nusselt number along the left and right walls of the computational 2 D enclosure is also studied. Validation house-computational numerical MATLAB code is tests are included. Local Nusselt number is elevated at both left and right walls with greater Darcy number (higher medium permeability) and Grashof number. However, with greater internal heat generation, local Nusselt number magnitudes are enhanced at the left (cold) wall only but suppressed at the right (hot) wall. Increasing magnetic field reduces local Nusselt number at both left and right walls. With increasing magnetic field, the single vortex is strongly distorted and skewed towards the top left and lower right corners of the enclosure. Temperature contours at the left and right wall are however less intense with greater magnetic field effect. The simulations are of relevance to hybrid electromagnetic gaseous fuel cells, magnetic field control of filtration processes and porous media materials processing systems.

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“…Further, the seventh-order Runge–Kutta–Fehlberg method with shooting quadrature for a bio-convection nanofluid slip flow along a wavy wall has been used by Uddin et al (2017). Also, Bég et al (2017) used both the Bellman–Kalaba quasi linearization and Chebyshev spectral collocation methods to obtain a numerical solution for a nonlinear heat transfer and natural convection from a wavy surface. In addition, the implicit Chebyshev pseudo-spectral (ICPS) approach for a natural convection of fluid along a heated vertical wavy surface is used by Elgazery and Abd Elazem (2009, 2011).…”

Section: Introductionmentioning

confidence: 99%

Magneto-radiative gas near an unsmooth boundary with variable temperature

Elgazery

Elazem

2022

HFF

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Purpose This paper aims to study the magneto-radiative gas (water vapor) on an unsmooth boundary. Design/methodology/approach This paper provided a numerical treatment via the implicit Chebyshev pseudo-spectral method to investigate unsteady compressible magneto-radiative gas (water vapor Pr = 1) flow near a heated vertical wavy wall through porous medium in the presence of inclined magnetic field. The impacts of viscous dissipation, temperature-dependent fluid properties, thermal conductivity and viscosity in the presence of nonlinear thermal radiation are studied. The sinusoidal surface is transformed into a flat one using a suitable transformation. The comparison figures of published data with the present outcomes illustrate a good match. The present steady-state outcomes are presented for the temperature, velocity, Nusselt number and the shearing stress through figures for several interested physical parameters, namely, compressibility, magnetic, radiation, viscosity–temperature variation, thermal conductivity–temperature variation, surface sinusoidal waveform and porous parameters. Findings The present numerical outcomes confirm the importance of applying nonlinear thermal radiation cases in all studies that investigate heat transfer under the influence of thermal radiation. Originality/value A mathematical model is established for a wavy boundary, and Chebyshev pseudo-spectral method is adopted for the numerical study.

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Numerical Study of Nonlinear Heat Transfer from a Wavy Surface to a High Permeability Medium with Pseudo-Spectral and Smoothed Particle Methods

Cited by 13 publications

References 52 publications

Augmentation of heat transfer via nanofluids in duct flows using Fourier-type conditions: Theoretical and numerical study

Augmentation of heat transfer via nanofluids in duct flows using Fourier-type conditions: Theoretical and numerical study

Numerical study of magnetohydrodynamic natural convection in a non-Darcian porous enclosure filled with electrically conducting helium gas

Magneto-radiative gas near an unsmooth boundary with variable temperature

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