Stagnation-point flow of upper-convected Maxwell fluids

Sadeghy, Kayvan; Hajibeygi, Hadi; Taghavi, Seyed Mohammad

doi:10.1016/j.ijnonlinmec.2006.08.005

Cited by 144 publications

(82 citation statements)

References 22 publications

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“…The study on dynamics of upper-convected Maxwell fluid is extended in Hayat et al (2006) and reported that boundary layer thickness decreases by increasing the magnitude of MHD parameter, suction/injection velocity parameter and relaxation time parameter. In recent years, many researchers has investigated and reported the effect of some parameters on upper-convected Maxwell fluid flow (see Sadeghy et al (2006), Abbas et al (2008), Sadeghy et al (2009), Pop et al (2012, Motsa et al (2012), Mustafa et al (2012), Prasad et al (2013) and ).…”

Section: Introductionmentioning

confidence: 99%

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Omowaye

Animasaun

2016

JAFM

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An upper-convected Maxwell (UCM) fluid flow over a melting surface situated in hot environment is studied. The influence of melting heat transfer and thermal stratification are properly accounted for by modifying the classical boundary condition of temperature to account for both. It is assumed that the ratio of inertia forces to viscous forces is high enough for boundary layer approximation to be valid. The corresponding influence of exponentially space dependent internal heat generation on viscosity and thermal conductivity of UCM is properly considered. The dynamic viscosity and thermal conductivity of UCM are temperature dependent. Classical temperature dependent viscosity and thermal conductivity models are modified to suit the case of both melting heat transfer and thermal stratification. The governing non-linear partial differential equations describing the problem are reduced to a system of nonlinear ordinary differential equations using similarity transformations and completed the solution numerically using the Runge-Kutta method along with shooting technique (RK4SM). The numerical procedure is validated by comparing the solutions of RK4SM with that of MATLAB based bvp4c. The results reveal that increase in stratification parameter corresponds to decrease in the heat energy entering into the fluid domain from freestream and this significantly reduces the overall temperature and temperature gradient of UCM fluid as it flows over a melting surface. The transverse velocity, longitudinal velocity and temperature of UCM are increasing function of temperature dependent viscous and thermal conductivity parameters. At a constant value of melting parameter, the local skin-friction coefficient and heat transfer rate increases with an increase in Deborah number.

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Section: Introductionmentioning

confidence: 99%

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Omowaye

Animasaun

2016

JAFM

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“…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]. It has to be mentioned here that the controversial and confusion over viscoelastic model, specifically flow retardation, and model approximation of the second-grade model has been discussed in detail by Dunn and Rajagopal [9].…”

Section: Introductionmentioning

confidence: 83%

“…On the other hand, Sadeghy et al [6] presented the theory and results for two-dimensional boundary layer stagnation-point flow of UCM fluids while Kumari and Nath [7] studied the steady state magnetohydrodynamic (MHD) mixed convection flow of UCM fluids near the stagnation-point. They found that there is no velocity overshoot in the UCM model as found by Beard and Walters [8] in second-grade fluids.…”

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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“…They derived local similarity solutions by four different approaches and concluded that velocity is a decreasing function of the local Deborah number. Sadeghy et al 3 also studied stagnation-point flow of upper-convected Maxwell fluid using Chebyshev pseudo-spectral collocation-point method. Kumari and Nath 4 used finite difference method to compute numerical solutions of the boundary value problem arising in mixed convection stagnation-point flow of Maxwell fluid.…”

Section: Introductionmentioning

confidence: 99%

Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles

et al. 2015

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This article addresses steady flow of Maxwell nanofluid induced by an exponentially stretching sheet subject to convective heating. The revised model of passively controlled wall nanoparticle volume fraction is taken into account. Numerical solutions of the arising non-linear boundary value problem (BVP) are obtained by using MATLAB built-in function bvp4c. Simulations are performed for various values of embedded parameters which include local Deborah number, Prandtl number, Biot number, Brownian motion parameter and thermophoresis parameter. The results are consistent with the previous studies in some limiting cases. It is found that velocity decreases and temperature increases when the local Deborah number is increased. Moreover the influence of Brownian diffusion on temperature and heat transfer rate is found to be insignificant.

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Stagnation-point flow of upper-convected Maxwell fluids

Cited by 144 publications

References 22 publications

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

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

Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles

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