Melting heat transfer in the stagnation‐point flow of an upper‐convected Maxwell (UCM) fluid past a stretching sheet

Hayat, Tasawar; Mustafa, M.; Shehzad, Sabir Ali; Obaidat, S.

doi:10.1002/fld.2503

Cited by 68 publications

(46 citation statements)

References 34 publications

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“…Rashidi et al [26] performed an analysis of hydrodynamic squeezing flow by developing series solutions. Some other investigations on squeezing flow can be seen in the studies [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

et al. 2016

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Abstract:The present communication examines the magnetohydrodynamic (MHD) squeezing flow of Jeffrey nanofluid between two parallel disks. Constitutive relations of Jeffrey fluid are employed in the problem development. Heat and mass transfer aspects are examined in the presence of thermophoresis and Brownian motion. Jeffrey fluid subject to time dependent applied magnetic field is conducted. Suitable variables lead to a strong nonlinear system. The resulting systems are computed via homotopic approach. The behaviors of several pertinent parameters are analyzed through graphs and numerical data. Skin friction coefficient and heat and mass transfer rates are numerically examined.

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Section: Introductionmentioning

confidence: 99%

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

et al. 2016

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“…Besides, thickening of boundary layer and decreasing in reduced skin friction coefficient f (0) is predicted to exist for the high elasticity number of the UCM model. This prediction is controversial to those reported for the Maxwell model used by Phan-Thien [1], Hayat et al [2,4], Abbas et al [3], and Nadeem et al [5]. It is further found that the papers by Sadeghy et al [6] and Kumari and Nath [7] considered different sign of elasticity term as used in Hayat et al [2,4], Abbas et al [3], and Nadeem et al [5].…”

Section: Introductionmentioning

confidence: 83%

“…In addition, Abbas et al [3] have also solved the problem numerically using a finite difference method and then compared the results with the analytical solution by HAM. Recently, Hayat et al [4] used the HAM to study the influence of melting heat transfer on stagnation-point flow of UCM fluid towards a stretching sheet. They found that the local Nusselt number is a decreasing function of the melting parameter.…”

Section: Introductionmentioning

confidence: 99%

Stagnation-Point Flow and Heat Transfer Towards a Shrinking Sheet with Suction in an Upper Convected Maxwell Fluid

Lok

Ishak

Pop

2013

Zeitschrift Für Naturforschung A

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A steady two-dimensional boundary-layer flow and heat transfer of an upper convected Maxwell fluid near a stagnation-point of a permeable shrinking sheet is studied numerically. The effects of elasticity, shrinking, and suction parameters on the flow and heat transfer characteristics are investigated. A similarity transformation reduces the governing equations to third-order nonlinear ordinary differential equations which are then solved numerically. For a fixed value of elastic parameter, it is found that dual solutions exist for some values of shrinking and suction parameters. The plotted streamlines show that for upper branch solutions, the effects of shrinking and suction are direct and obvious as the flow near the surface is seen to suck through the permeable sheet and drag to the origin of the sheet. However, aligned but reverse flow occurs for the case of lower branch solutions.

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“…The problem with this type of fluid is that there is not a single constitutive equation due to various rheological parameters appearing in such fluids. Therefore, different models have been developed in the forms of (i) differential type, (ii) rate type and (iii) integral type (Hayat and Awais, 2011;Hayat et al, 2012). The dynamics of materials with the properties of elasticity and viscosity is a fundamental topic in fluid dynamics.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer and MHD flow of non-newtonian Maxwell fluid through a parallel plate channel: analytical and numerical solution

et al. 2018

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Abstract. Analytical and numerical analyses have been performed to study the problem of magnetohydrodynamic (MHD) flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel. The governing equations of continuity, momentum and energy are reduced to two ordinary differential equation forms by introducing a similarity transformation. The Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM) and fourth-order Runge-Kutta numerical method (NUM) are used to solve this problem. Also, velocity and temperature fields have been computed and shown graphically for various values of the physical parameters. The objectives of the present work are to investigate the effect of the Deborah numbers (De), Hartman electric number (Ha), Reynolds number (Re w ) and Prandtl number (Pr) on the velocity and temperature fields. As an important outcome, it is observed that increasing the Hartman number leads to a reduction in the velocity values while increasing the Deborah number has negligible impact on the velocity increment.

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Melting heat transfer in the stagnation‐point flow of an upper‐convected Maxwell (UCM) fluid past a stretching sheet

Cited by 68 publications

References 34 publications

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

Stagnation-Point Flow and Heat Transfer Towards a Shrinking Sheet with Suction in an Upper Convected Maxwell Fluid

Heat transfer and MHD flow of non-newtonian Maxwell fluid through a parallel plate channel: analytical and numerical solution

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