Series solutions for steady three-dimensional stagnation point flow of a nanofluid past a circular cylinder with sinusoidal radius variation

Dinarvand, Saeed; Hosseini, Reza; Damangir, E.; Pop, I.

doi:10.1007/s11012-012-9621-7

Cited by 48 publications

(22 citation statements)

References 30 publications

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“…The main purpose of our analysis is to compare the base fluid like water and ethylene glycol. Under these assumptions, the mathematical form is as follows:

\frac{\partial U}{\partial x} + \frac{\partial V}{\partial y} + \frac{\partial W}{\partial z} = 0,

U \frac{\partial U}{\partial x} + V \frac{\partial U}{\partial y} + W \frac{\partial U}{\partial z} = {a *}^{2} x + \frac{σ_{hnf} B_{0}^{2}}{ρ_{hnf}} (a * x - U) + true(\frac{μ_{hnf}}{ρ_{hnf}} true) \frac{\partial^{2} U}{\partial^{2} z},

U \frac{\partial V}{\partial x} + V \frac{\partial V}{\partial y} + W \frac{\partial V}{\partial z} = {b *}^{2} y + \frac{σ_{hnf} B_{0}^{2}}{ρ_{hnf}} (b * y - V) + true(\frac{μ_{hnf}}{ρ_{hnf}} true) \frac{\partial^{2} V}{\partial^{2} z},

U \frac{\partial T}{\partial x} + V \frac{\partial T}{\partial y} + W \frac{\partial T}{\partial z} = α_{hnf} \frac{\partial^{2} T}{\partial^{2} z} .

…”

Section: Flow Analysismentioning

confidence: 99%

Stagnation flow of hybrid nanoparticles with MHD and slip effects

Abbas

Malik

Nadeem

2019

Heat Trans. Asian Res.

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The flow of hybrid nanoparticles with significant physical parameters with different base fluids in the presence of Biot number, velocity slip, and MHD effects has not been explored so far, particularly for a circular cylinder. Therefore, the current report is presented to offer a numerical solution for hybrid nanoparticles with base fluids (water and ethylene glycerol) via a circular cylinder. The physical situation is interpreted in terms of partial differential equations and is converted into ordinary differential equations after applying the similarity transformation. The results are presented in both tabular and graphical forms. The impact of physical parameters on velocity distribution is examined through graphs. The comparative results of hybrid nanoparticles for distinct base fluids as ethylene glycol and water are proposed and the hybrid nanoparticles with base fluid water seems to be greater than that of the hybrid nanoparticles with base fluid EG. The temperature profile of hybrid nanoparticles is found to be a decreasing function with growth in velocity slip parameter γ but an opposite trend is noted in case of nanoparticles Φ 2 . The skin friction and Nusselt number augmented for the increase in magnetic field, velocity slip, and nanoparticle while it shows a decreasing trend toward thermal slip parameter. For the both cases, improvement in Biot number helps enhance the heat transfer constantly. K E Y W O R D S circular cylinder, hybrid nanoparticles, MHD, slip conditions, water and ethylene glycol

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“…The main purpose of our analysis is to compare the base fluid like water and ethylene glycol. Under these assumptions, the mathematical form is as follows:

\frac{\partial U}{\partial x} + \frac{\partial V}{\partial y} + \frac{\partial W}{\partial z} = 0,

U \frac{\partial U}{\partial x} + V \frac{\partial U}{\partial y} + W \frac{\partial U}{\partial z} = {a *}^{2} x + \frac{σ_{hnf} B_{0}^{2}}{ρ_{hnf}} (a * x - U) + true(\frac{μ_{hnf}}{ρ_{hnf}} true) \frac{\partial^{2} U}{\partial^{2} z},

U \frac{\partial V}{\partial x} + V \frac{\partial V}{\partial y} + W \frac{\partial V}{\partial z} = {b *}^{2} y + \frac{σ_{hnf} B_{0}^{2}}{ρ_{hnf}} (b * y - V) + true(\frac{μ_{hnf}}{ρ_{hnf}} true) \frac{\partial^{2} V}{\partial^{2} z},

U \frac{\partial T}{\partial x} + V \frac{\partial T}{\partial y} + W \frac{\partial T}{\partial z} = α_{hnf} \frac{\partial^{2} T}{\partial^{2} z} .

…”

Section: Flow Analysismentioning

confidence: 99%

Stagnation flow of hybrid nanoparticles with MHD and slip effects

Abbas

Malik

Nadeem

2019

Heat Trans. Asian Res.

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“…Также часто применяется модель наножидкости, предложенная в [13]. В частности, с использованием данной модели авторами [14,15] изучена задача о точке остановки стационарного трехмерного течения наножидкости на круглом цилиндре с синусоидальным изменением радиуса. Цель настоящего исследования, являющегося продолжением работы [15], состоит в изучении нестационарного течения, тепло-и массообмена в наножидкости на таком же цилиндре с учетом термофореза и броуновского движения.…”

Section: Doi: 1015372/pmtf20150407unclassified

“…В частности, с использованием данной модели авторами [14,15] изучена задача о точке остановки стационарного трехмерного течения наножидкости на круглом цилиндре с синусоидальным изменением радиуса. Цель настоящего исследования, являющегося продолжением работы [15], состоит в изучении нестационарного течения, тепло-и массообмена в наножидкости на таком же цилиндре с учетом термофореза и броуновского движения. В работе с помощью преобразования подобия уравнения пограничного слоя в частных производных приводятся к нелинейным обыкновенным дифференциальным уравнениям, которые решаются численно с использованием схемы Рунге -Кутты и метода стрельбы.…”

Section: Doi: 1015372/pmtf20150407unclassified

“…x для установившегося течения (A = 0) в отсутствие термофореза и броуновских эффектов. Проведено сравнение полученных результатов и результатов работы[15] (табл. 1), которое показало, что они хорошо согласуются.Исследуем течение в пограничном слое, тепло-и массообмен в окрестности узловой точки остановки A (см.…”

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Unsteady Three-Dimensional Stagnation-Point Flow and Heat Transfer of a Nanofluid with Thermophoresis and Brownian Motion Effects

2015

PMTF

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“…The homotopy analysis method has excellent potential for simulating nanofluid dynamics problems for the laminar axisymmetric mixed convection boundary-layer nanofluid flow past a vertical cylinder [17]. In a steady, 3D stagnation point flow of a nanofluid past a vertical circular cylinder that has a sinusoidal radius variation, [18] and [19] it was found that the skin friction coefficient and the heat transfer rate at the surface are higher for copperwater nanofluid than alumina-water and titania-water nanofluids.…”

Section: Introductionmentioning

confidence: 99%

Performance Index in MHD Duct Nanofluid Flow Past a Bluff Body at High Re

ARJUN

Kumar

2017

SV-JME

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The quasi-two-dimensional Al 2 O 3 -water nanofluid magneto hydro-dynamics (MHD) flowing over a circular cylinder at higher Reynolds number has been modelled using Ansys FLUENT 15.0 in a rectangular duct to determine the viability of heat transfer enhancement. The effect of the numerical simulations on performance indices were analysed for the range of 1000 ≤ Re ≤ 3000 Reynolds numbers, 10 ≤ Ha ≤ 100 modified Hartmann numbers, 0.5 ≤ φ ≤ 2 nanoparticle volume concentrations, 0.1 ≤ β ≤ 0.4 blockage ratios, 1 ≤ γ ≤ 0.25 position ratios, 0.75 ≤ G/d ≤ 1.5 gap ratios and 0 ≤ d ≤ 10 distance downstream of cylinder along heated duct wall. The results are presented graphically and discussed quantitatively. Grid independence is achieved with the domain having 3 upstream and 20 downstream cylinder diameter distance lengths with element polynomial degree 7 with respect to mean drag coefficient and Strouhal number. Cylinder placement with gaps to the heated wall of diameters between 0.75 and 1.25 and 10 diameters downstream of cylinder performed best, achieving 117 % enhancement of the performance indices at Re = 3000, Ha = 20, φ = 2 %, β = 0.4, γ = 1 and G/d = 1. The performance indices were greater than one for all the cases tested, which indicates that the heat transfer enhancement for this flow is viable. The Nusselt number values of the present study were compared with the analytical and experimental data published earlier and found to be in perfect agreement validating the reliability of the present model. Highlights• A very high performance index enhancement is achieved, incorporating the impacts of Re, Ha and φ in rectangular duct flow. • A circular cylinder is used as bluff body in MHD nanofluid flow at higher Reynold numbers. • Ideal cylinder placement conditions of blockage, position and gap ratios are proposed. • Viable heat transfer enhancements analysed using numerical simulations and the resulting quasi-2D model predictions are validated.

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Series solutions for steady three-dimensional stagnation point flow of a nanofluid past a circular cylinder with sinusoidal radius variation

Cited by 48 publications

References 30 publications

Stagnation flow of hybrid nanoparticles with MHD and slip effects

Stagnation flow of hybrid nanoparticles with MHD and slip effects

Unsteady Three-Dimensional Stagnation-Point Flow and Heat Transfer of a Nanofluid with Thermophoresis and Brownian Motion Effects

Performance Index in MHD Duct Nanofluid Flow Past a Bluff Body at High Re

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