Enhancement in heat and mass transfer over a permeable sheet with Newtonian heating effects on nanofluid: Multiple solutions using spectral method and stability analysis

Mustafa, Irfan; Javed, Tariq; Ghaffari, Abuzar; Khalil, Hammad

doi:10.1007/s12043-019-1814-3

Cited by 13 publications

(7 citation statements)

References 48 publications

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“…Through the Chebyshev spectral method, Zaydan et al [31] proposed a validated numerical algorithm to examine passively the onset of thermo-magneto-hydrodynamic stabilities in electrically conducting nanofluids under the effective influences of suction and injection constraints. Other attractive related problems were tackled numerically and analytically by Ghaffari and his coworkers in [32][33][34] to inspect the stability of the thermo-hydrodynamical solutions corresponding to various convective fluid/nanofluid flows either by the Chebyshev spectral method or by the least square method.…”

Section: Introductionmentioning

confidence: 99%

Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A proper application of the revised two‐phase nanofluid model with convective heating and through‐flow boundary conditions

Wakif

Sehaqui

2020

Numer Methods Partial Differential Eq.

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The present numerical investigation aimed to disclose the optimum characteristics of the magneto-convection phenomenon that can be happened for Newtonian nanofluids in a horizontal planar configuration under the combined influence of an imposed convective heating and a uniform vertically applied through-flow process at the permeable boundaries. In this regards, a realistic non-homogeneous MHD convective nanofluid flow model has been established properly based on the revised Buongiorno's mathematical formulation, Corcione's empirical correlations, and other known phenomenological laws for examining the therm-magneto-hydrodynamic stability of water-based nanofluids conveying tiny metal/metal oxide particles of same spherical size, like copper Cu, copper oxide CuO, aluminum Al, and alumina Al 2 O 3 , whose volume fraction was controlled passively at the permeable boundaries by exploiting the assumption of zero nanoparticles mass flux. By adopting the linear stability theory (LST) and normal mode analysis technique (NMAT), the dimensionless stationary stability equations were derived successively from the dimensionless form of the governing partial differential equations (PDEs) after several mathematical rearrange-608

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Section: Introductionmentioning

confidence: 99%

Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A proper application of the revised two‐phase nanofluid model with convective heating and through‐flow boundary conditions

Wakif

Sehaqui

2020

Numer Methods Partial Differential Eq.

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“…The source of irreversibility should be established and to some degree minimized. Mustafa et al [33] investigated the generation of entropy by nanofluid flow in the vertical microchannel. They found that the number of grash increases the rate of entropy.…”

Section: Introductionmentioning

confidence: 99%

Aggregation Effects on Entropy Generation Analysis for Nanofluid Flow over a Wedge with Thermal Radiation: A Numerical Investigation

Rehman

Wahab

Alshammari

et al. 2022

Journal of Nanomaterials

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The current study investigated the formation of entropy in a nanofluid flow in a wedge with thermal radiation and convective boundary conditions. Nanoparticle aggregation is also taken into consideration. The rate of heat transmission of a water-based aggregated fluid over a wedge has been investigated due to the effects of thermal radiation. A set of nonlinear differential equations governs the flow process, and these are numerically solved using a helpful approach called the Runge-Kutta-Fehlberg scheme. This method starts by breaking down the equations into a collection of first-order equations. The RK method then solves those equations. The effects on flow and heat transmission are studied using graphical analysis. Entropy generation and Bejan number changes are also graphically displayed, and the results are discussed in detail. These equations’ answers were also incorporated into a dimensionless entropy generating equation. According to the findings, raising the radiation parameter and decreasing boundary convection minimize entropy generation, while nanoparticles boost entropy production.

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“…Jeffrey fluid near the stagnation point flow was studied by Turkyilmazoglu et al 16 in which they successfully noticed the triple solutions. Some other related research papers can be referred for the multiple solutions in these papers 17‐25 . One can conclude from the survey of the published literature that very few studies have been done so far in which researchers found triple solutions for the micropolar nanofluid.…”

Section: Introductionmentioning

confidence: 99%

“…Some other related research papers can be referred for the multiple solutions in these papers. [17][18][19][20][21][22][23][24][25] One can conclude from the survey of the published literature that very few studies have been done so far in which researchers found triple solutions for the micropolar nanofluid. Therefore, we addressed the existence of triple solutions of the micropolar nanofluid in this study.…”

Section: Introductionmentioning

confidence: 99%

Triple solutions of micropolar nanofluid in the presence of radiation over an exponentially preamble shrinking surface: Convective boundary condition

Lund

Omar

Raza³

et al. 2020

Heat Trans

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In this study, we attempt to obtain all probable multiple solutions of the magnetohydrodynamic (MHD) steady flow of micropolar nanofluid on an exponentially shrinking surface by the consideration of concentration slip, thermal radiation, and convective boundary condition with help of the revised model of Buongiorno. The significance of the mass suction on the existence of multiple solutions is integrated. The suitable pseudo‐exponential similarity variables have been adopted to transfer the system of nonlinear partial differential equations into a system of nonlinear quasi‐ordinary ordinary differential equations. The resultant system has been solved by employing the Runge–Kutta fourth‐order method along with the shooting method. Three different ranges of solutions are noticed, namely triple solutions and single solution. When ranges of the suction parameter are S≥Sc1 and S≥Sc2, then there exist triple solutions otherwise there exists only single solution. The effect of the numerous emerging parameters on the velocity profile, angular velocity profile, temperature profile, concentration profile, coefficient of skin friction, and local Nusselt and Sherwood numbers are demonstrated graphically. Results reveal that the velocity of the rotating fluid particles near the rigid surface declines regularly by the rise of the micropolar parameter K in the second and first solutions.

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Enhancement in heat and mass transfer over a permeable sheet with Newtonian heating effects on nanofluid: Multiple solutions using spectral method and stability analysis

Cited by 13 publications

References 48 publications

Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A proper application of the revised two‐phase nanofluid model with convective heating and through‐flow boundary conditions

Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A proper application of the revised two‐phase nanofluid model with convective heating and through‐flow boundary conditions

Aggregation Effects on Entropy Generation Analysis for Nanofluid Flow over a Wedge with Thermal Radiation: A Numerical Investigation

Triple solutions of micropolar nanofluid in the presence of radiation over an exponentially preamble shrinking surface: Convective boundary condition

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