Numerical treatment for investigation of squeezing unsteady nanofluid flow between two parallel plates

Gupta, A. K.; Ray, S. Saha

doi:10.1016/j.powtec.2015.04.018

Cited by 41 publications

(20 citation statements)

References 23 publications

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“…In order to validate the numerical results obtained, we compare our results with those reported by Gupta and Ray [4] as shown in Table 2, and they are found to be in a good agreement. The effects of the volume fraction of solid nanoparticles, magnetic parameter, velocity slip parameter, squeeze number, and Schmidt number are inspected for different kinds of nanoparticles when the base fluid is water, Ec = 0.01, Pr = 6.2, and = 0.01.…”

Section: Resultssupporting

confidence: 59%

“…Pourmehran et al [3] studied the unsteady flow of squeezing nanofluid between parallel plates. Gupta and Ray [4] proposed a problem of unsteady flow of a squeezing nanofluid between two parallel plates. The squeezing flow of Cu-water (or kerosene) nanofluid between two parallel plates under the effects of viscous dissipation and velocity slip was investigated by Khan et al [5].…”

Section: Introductionmentioning

confidence: 99%

“…To the best of our best knowledge such investigation is not studied in the scientific literature. Some analytical methods for squeezing unsteady nanofluid flow can be found in [4,6].…”

Section: Introductionmentioning

confidence: 99%

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

Singh

Rawat

Kumar

2016

Journal of Nanoscience

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Heat and mass transfer behavior of unsteady flow of squeezing nanofluids between two parallel plates in the sight of uniform magnetic field with slip velocity effect is investigated. The governing equations representing fluid flow have been transformed into nonlinear ordinary differential equations using similarity transformation. The equations thus obtained have been solved numerically using Runge-Kutta-Fehlberg method with shooting technique. Effects on the behavior of velocity, temperature, and concentration for various values of relevant parameters are illustrated graphically. The skin-friction coefficient and heat and mass transfer rate are also tabulated for various governing parameters. The results indicate that, for nanofluid flow, the rates of heat and mass transfer are inversely proportional to nanoparticle volume fraction and magnetic parameter. The rate of mass transfer increases with increasing values of Schmidt number and squeeze number.

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Section: Resultssupporting

confidence: 59%

Section: Introductionmentioning

confidence: 99%

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

Singh

Rawat

Kumar

2016

Journal of Nanoscience

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“…Introduced by American mathematician, George Adomian [46], it has been embraced extensively in computational engineering sciences over the past two decades. Interesting studies using ADM include enzyme kinetics in biological engineering [47], heat transfer [48], structural damping systems [49], non-Newtonian foam drainage problems [50], and most recently magnetic biotribology [51] and nanofluid squeezing flows [40,41,52]. ADM [46] rewritten using the standard operator, following Bég et al [51]:…”

Section: Validation With Adomian Decomposition Methods (Adm)mentioning

confidence: 99%

“…The first term on the right hand side denotes the species diffusion and the last term is the relative contribution of thermophoresis to Brownian motion. These effects have also been considered in detail by Dib et al [40] and Gupta and Saha Ray [41]. The boundary value problem defined in terms of primitive variables may be solved using numerical methods.…”

Section: Mathematical Modelmentioning

confidence: 99%

Homotopy Simulation of Nonlinear Unsteady Rotating Nanofluid Flow from a Spinning Body

Bég¹,

Mabood

Islam

2015

International Journal of Engineering Mathematics

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The development of new applications of nanofluids in chemical engineering and other technologies has stimulated significant interest in computational simulations. Motivated by coating applications of nanomaterials, we investigate the transient nanofluid flow from a time-dependent spinning sphere using laminar boundary layer theory. The free stream velocity varies continuously with time. The unsteady conservations equations are normalized with appropriate similarity transformations and rendered into a ninth-order system of nonlinear coupled, multidegree ordinary differential equations. The transformed nonlinear boundary value problem is solved using the homotopy analysis method (HAM), a semicomputational procedure achieving fast convergence. Computations are verified with an Adomian decomposition method (ADM). The influence of acceleration parameter, rotational body force parameter, Brownian motion number, thermophoresis number, Lewis number, and Prandtl number on surface shear stress, heat, and mass (nanoparticle volume fraction) transfer rates is evaluated. The influence on boundary layer behavior is also investigated. HAM demonstrates excellent stability and leads to highly accurate solutions.

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Numerical simulation of unsteady ethylene glycol/CNTs micropolar nanofluid flow through a squeezing channel: An approach to industrial applications

2022

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The impressive high thermal conductivity and low weight allow the carbon nanotubes (CNTs) to improve heat dissipation and cooling. In the present problem, we aim to analyze the CNTs embedded micropolar nanofluid flow between two parallel stretching sheets with the base fluid ethylene glycol (EG) which is effectively used as antifreeze and coolant. Both single‐walled carbon nanotubes and multiwalled carbon nanotubes (MWCNTs) are considered. The fluid is influenced by the external magnetic field parallel to the microrotation along with viscous and Joule dissipations. The flow and heat equations are converted to a set of coupled ordinary differential equations with the aid of similarity transformations. Due to the nonexistence of the closed‐form solution, we have developed the analytical approximate solution by homotopy analysis method using the polynomial base function. Furthermore, we have used the most efficient Runge–Kutta integration scheme of the fourth order associated with shooting technique to solve the system of equations. Results are exhibited graphically for various physical parameters and also found a good agreement with earlier work. From the results, we noticed that squeezing increases the angular velocity of the fluid particles. Also, in the case of squeezing, the volume fraction has enhanced the viscous drag and was found high for MWCNT–EG nanofluid.

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Numerical treatment for investigation of squeezing unsteady nanofluid flow between two parallel plates

Cited by 41 publications

References 23 publications

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

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

Homotopy Simulation of Nonlinear Unsteady Rotating Nanofluid Flow from a Spinning Body

Numerical simulation of unsteady ethylene glycol/CNTs micropolar nanofluid flow through a squeezing channel: An approach to industrial applications

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