Heat and Mass Transfer on Squeezing Unsteady MHD Nanofluid Flow between Parallel Plates with Slip Velocity Effect

Singh, K. B.; Rawat, Sawan Kumar; Kumar, Manoj

doi:10.1155/2016/9708562

Cited by 32 publications

(21 citation statements)

References 33 publications

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“…Many authors 13–16 have monitored the nanofluid flow and its thermal conductivity phenomenon using either Buongiorno's model or Tiwari and Das model. Moreover, literature search showed that many studies 17–21 have also utilized the combination of Buongiorno and Tiwari and Das models.…”

Section: Introductionmentioning

confidence: 99%

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Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

2021

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We often encounter many processes where the cooling rate is a key factor in deciding the features of a desired product. Due to increasing demands of controlled cooling systems, an effort is made to theoretically study the effect of volume fraction on mixed convective Cu–water nanofluid flow over a stretching surface with activation energy and thermal radiation. The nonlinear dynamical system is simplified using apt similarity variables and the obtained ordinary differential equations are dealt numerically using Runge–Kutta–Fehlberg method and shooting scheme. The thermal and solutal equations are modeled considering Cattaneo–Christov double‐diffusion model. The flow problem is studied considering velocity slip and zero mass flux state at the surface. As a novelty, the present case considers the blowing effect at the surface to study massive species transport during nanofluid flow with Cattaneo–Christov double‐diffusion model. The results show that an increase in strength of thermal radiation increases temperature and buoyancy ratio parameter, thereby escalating the skin friction coefficient. When thermal relaxation parameter changes from 0.001 to 0.005, heat transfer coefficient improves by 24.36%. Furthermore, with the change in value of the blowing parameter from 0.1 to 0.1015, the maximum value concentration of nanoparticles that is attained during the flow is increased by 7.15%.

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Section: Introductionmentioning

confidence: 99%

“…The aforementioned studies 3–43 have modeled and discussed the heat transfer attributes in nanofluid flows using Fourier's 44 model. However, last decade has witnessed the rise in number of researchers discussing the heat transfer in flow problems using the Cattaneo–Christov model (C–C model).…”

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

2021

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“…Later, Azimi and Riazi [40] discovered the work of Acharya et al [39] via Buongiorno's nanofluid model. The influences of viscous dissipation and velocity slip on the MHD squeeze flow of nanofluid was examined by Singh et al [41]. In Non-Newtonian fluid, numerical solution of unsteady flow of Jeffrey nanofluid past a stretched surface with the impacts of Brownian motion, thermophoresis and viscous dissipation was presented by El-Zahar et al [42].…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer on MHD squeezing flow of Jeffrey nanofluid in horizontal channel through permeable medium

2021

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The heat and mass transfer on time dependent hydrodynamic squeeze flow of Jeffrey nanofluid across two plates over permeable medium in the slip condition with heat generation/absorption, thermal radiation and chemical reaction are investigated. The impacts of Brownian motion and thermophoresis is examined in the Buongiorno’s nanofluid model. Conversion of the governing partial differential equations to the ordinary differential equations is conducted via similarity transformation. The dimensionless equations are solved by imposing numerical method of Keller-box. The outputs are compared with previous reported works in the journals for the validation of the present outputs and found in proper agreement. The behavior of velocity, temperature, and nanoparticles concentration profiles by varying the pertinent parameters are examined. Findings portray that the acceleration of the velocity profile and the wall shear stress is due to the squeezing of plates. Furthermore, the velocity, temperature and concentration profile decline with boost in Hartmann number and ratio of relaxation to retardation times. It is discovered that the rate of heat transfer and temperature profile increase when viscous dissipation, thermophoresis and heat source/sink rises. In contrast, the increment of thermal radiation reduces the temperature and enhances the heat transfer rate. Besides, the mass transfer rate decelerates for increasing Brownian motion in nanofluid, while it elevates when chemical reaction and thermophoresis increases.

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“…Molybdenum disulfide nanofluid Sheikholeslami et al, 2015), homotopy perturbation method (Mohammadian et al, 2015;Majidian et al, 2014), homotopy analysis method (Srinivas et al, 2017) and perturbation method (Akinshilo and Sobamowo, 2017) for the different topological structures. Recently, many authors investigated the close form of the solutions on different fluid flow conditions Sheikh et al, 2017;Khan et al, 2017;Saqib et al, 2016;Singh et al, 2016;Raza et al, 2016aRaza et al, , b, c, 2017.…”

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confidence: 99%

“…Shooting method, Runge-Kutta-Fehlberg method, implicit finite difference, Keller box method and finite element method are most common numerical techniques. Recently, Singh et al (2016) used Runge-Kutta-Fehlberg method with shooting method to solve the problem of MHD unsteady nanofluid flow between parallel plates with slip effects. Raza et al (2016aRaza et al ( , b, c, 2017 and Raza, Rohni, Omar and Baig (2016) successfully solved the fluid flow problems in a channel with shooting method.…”

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confidence: 99%

Magnetohydrodynamic flow of molybdenum disulfide nanofluid in a channel with shape effects

Raza

Mebarek‐Oudina

Chamkha

2019

MMMS

159

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Purpose The purpose of this paper is to examine the combined effects of thermal radiation and magnetic field of molybdenum disulfide nanofluid in a channel with changing walls. Water is considered as a Newtonian fluid and treated as a base fluid and MoS2 as nanoparticles with different shapes (spherical, cylindrical and laminar). The main structures of partial differential equations are taken in the form of continuity, momentum and energy equations. Design/methodology/approach The governing partial differential equations are converted into a set of nonlinear ordinary differential equations by applying a suitable similarity transformation and then solved numerically via a three-stage Lobatto III-A formula. Findings All obtained unknown functions are discussed in detail after plotting the numerical results against different arising physical parameters. The validations of numerical results have been taken into account with other works reported in literature and are found to be in an excellent agreement. The study reveals that the Nusselt number increases by increasing the solid volume fraction for different shapes of nanoparticles, and an increase in the values of wall expansion ratio α increases the velocity profile f′(η) from lower wall to the center of the channel and decreases afterwards. Originality/value In this paper, a numerical method was utilized to investigate the influence of molybdenum disulfide (MoS2) nanoparticles shapes on MHD flow of nanofluid in a channel. The validity of the literature review cited above ensures that the current study has never been reported before and it is quite new; therefore, in case of validity of the results, a three-stage Lobattoo III-A formula is implemented in Matlab 15 by built in routine “bvp4c,” and it is found to be in an excellent agreement with the literature published before.

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Heat and Mass Transfer on Squeezing Unsteady MHD Nanofluid Flow between Parallel Plates with Slip Velocity Effect

Cited by 32 publications

References 33 publications

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

Heat and mass transfer on MHD squeezing flow of Jeffrey nanofluid in horizontal channel through permeable medium

Magnetohydrodynamic flow of molybdenum disulfide nanofluid in a channel with shape effects

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