Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction

Sithole, Hloniphile; Mondal, Hiranmoy; Goqo, Sicelo P.; Sibanda, Precious; Motsa, S. S.

doi:10.1016/j.amc.2018.07.042

Cited by 21 publications

(19 citation statements)

References 23 publications

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“…The governing energy equation of heat transfer, Equation (5), is solved using SQLM 31 . Quasi‐linearization 32 is used to linearize nonlinear singular/ordinary differential equations. When a spectral method is used to solve the linearized equations, the method is called SQLM.…”

Section: Spectral Quasi‐linearization Methodsmentioning

confidence: 99%

Inverse and efficiency of heat transfer convex fin with multiple nonlinearities

Roy

Mondal

Mallick³

et al. 2020

Heat Trans

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In this article, we first propose the novel semianalytical technique-modified Adomian decomposition method (MADM)-for a closed-form solution of the nonlinear heat transfer equation of convex profile with singularity where all thermal parameters are functions of temperature. The longitudinal convex fin is subjected to different boiling regimes, which are defined by particular values of n (power index) of heat transfer coefficient. The energy balance equation of the convex fin with several temperaturedependent properties are solved separately using the MADM and the spectral quasi-linearization method. Using the values obtained from the direct heat transfer method, the unknown parameters of the profile, such as thermal conductivity, surface emissivity, heat generation number, conductionconvection parameter, and radiation-conduction parameter are inversely predicted by an inverse heat transfer analysis using the simplex search method. The effect of the measurement error and the number of measurement points has been presented. It is found that present measurement points and reconstruction of the exact temperature distribution of the convex fin are fairly in good agreement.

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Section: Spectral Quasi‐linearization Methodsmentioning

confidence: 99%

Inverse and efficiency of heat transfer convex fin with multiple nonlinearities

Roy

Mondal

Mallick³

et al. 2020

Heat Trans

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“…The fluid flows steadily over an impervious stretching/sheeting sheet. On the surface of the sheet, we have u w The model equations emanate from the principles of mass, linear momentum, angular momentum and energy conservation and are given as (refer to De et al, 2016;Sithole et al, 2018;Zheng et al, 2012):…”

Section: Mathematical Formulationsmentioning

confidence: 99%

“…In recent times, many studies have been devoted to investigating radiation effects in heat and mass transfer processes of fluids. Studies involving radiative heat flux include those performed by Subhashini et al (2013), Raptis (1998), Hamid et al (2018), De et al (2015De et al ( , 2016, Bidin and Nazar (2009), Sithole et al (2018) and so on.…”

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confidence: 99%

Dual solutions of a micropolar nanofluid flow with radiative heat mass transfer over stretching/shrinking sheet using spectral quasilinearization method

Magodora

Mondal

Sibanda

2019

MMMS

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Purpose The purpose of this paper is to focus on the application of Chebyshev spectral collocation methodology with Gauss Lobatto grid points to micropolar fluid over a stretching or shrinking surface. Radiation, thermophoresis and nanoparticle Brownian motion are considered. The results have attainable scientific and technological applications in systems involving stretchable materials. Design/methodology/approach The model equations governing the flow are transformed into non-linear ordinary differential equations which are then reworked into linear form using the Newton-based quasilinearization method (SQLM). Spectral collocation is then used to solve the resulting linearised system of equations. Findings The validity of the model is established using error analysis. The velocity, temperature, micro-rotation, skin friction and couple stress parameters are conferred diagrammatically and analysed in detail. Originality/value The study obtains numerical explanations for rapidly convergent solutions using the spectral quasilinearization method. Convergence of the numerical solutions was monitored using the residual error analysis. The influence of radiation, heat and mass parameters on the flow are depicted graphically and analysed. The study is an extension on the work by Zheng et al. (2012) and therefore the novelty is that the authors tend to take into account nanoparticles, Brownian motion and thermophoresis in the flow of a micropolar fluid.

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“…They concluded from their finding that velocity and temperature are greatly affected by Brownian motion while the opposite trend for concentration profile. For more literature, the author suggests [ 30 , 33 , 44 ].…”

Section: Introductionmentioning

confidence: 99%

The Space–Time Coupled Fractional Cattaneo–Friedrich Maxwell Model with Caputo Derivatives

Khan

Rasheed

2021

Int. J. Appl. Comput. Math

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In the current article, we have thoroughly investigated the collective impact of mixed convection with thermal radiation and chemical reaction on MHD flow of viscous and electrically conducting fluid (Cattaneo-Friedrich Maxwell-CFM model) over a permeable surface embedded in a porous medium. Here we have utilized the Caputo time-fractional derivatives and mechanical laws (generalized shear stress constitutive equation and generalized Fourier's and Fick's laws) are being used to fractionalize the presented model. The effects of radiative heat flux, Ohmic dissipation, and internal absorption are presented through generalized Fourier's law while Fick's law or mass transfer equation offers the effects of first order chemically reactive species. The finite element method and finite difference method are being utilized to numerically solve the nonlinear coupled differential equations. It is established, through compression of numerical and analytical solutions, that the presented model is convergent. Further, error analysis of the subject model is also carried out. Moreover, for better illustration of results, we have also offered a graphical and tabular presentation of impacts of the parameters of interest on velocity, temperature, concentration profile, local skin friction coefficient, and heat and mass transfer. It is evident from the obtained results that velocity near and away from the surface increases with the enhancement of fractional derivative parameter whereas an opposite trend is observed in the case of temperature. Furthermore, it is noticed that temperature shows a decreasing behavior for the value θ < 2 and φ < 2, on the other hand entirely opposite trend is witnessed for θ ≥ 3 and φ ≥ 3. From an engineering perspective, we have acquired comprehensive outcomes such that the heat transfer offers an increasing trend in the case of T R and thermal fractional parameter β 1 . Additionally, the chemical reaction parameter and Sc significantly contribute towards the mass transfer rate. Since, in literature, one cannot refer to such results with non-integer Caputo fractional derivatives thus the results obtained through the current assessment hold significance for future research avenues. Moreover, the numerical inferences of the subject study may contribute to an advanced thermal processing method in the food industry to swiftly increase the temperature for cooking or sterilization drives.

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Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction

Cited by 21 publications

References 23 publications

Inverse and efficiency of heat transfer convex fin with multiple nonlinearities

Inverse and efficiency of heat transfer convex fin with multiple nonlinearities

Dual solutions of a micropolar nanofluid flow with radiative heat mass transfer over stretching/shrinking sheet using spectral quasilinearization method

The Space–Time Coupled Fractional Cattaneo–Friedrich Maxwell Model with Caputo Derivatives

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