Sakiadis flow of an upper-convected Maxwell fluid

Sadeghy, Kayvan; Najafi, Amir-Hosain; Saffaripour, Meghdad

doi:10.1016/j.ijnonlinmec.2005.05.006

Cited by 150 publications

(96 citation statements)

References 25 publications

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“…This condition can be found in Sadeghy et al (2005). Elastic effects should be considered in a boundary layer only for those viscoelastic fluids for which τ xx is of an order larger than τ xy and τ yy .…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…to make the number of unknowns equal to the number of equations), a constitutive equation relating stress components to the deformation field is needed. For a Maxwell fluid, the stress tensor (τ i j ) can be related to the deformation-rate tensor (d i j ) as presented in Larson (1988) and Sadeghy et al (2005) as…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…(10) is the so-called upper-convected time derivative which has been devised to satisfy the requirements of continuum mechanics (i.e. material objectivity and frame indifference; see Larson (1988) and Sadeghy et al (2005)). In this paper, the zero-shear rate viscosity is denoted as µ c .…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Poole (2012) reported the history behind the given name "Deborah" and further explained Deborah number as the ratio of time it takes for a material to adjust to deformations according to Eugene C. Bingham and Markus Reiner. In view of this, Sadeghy et al (2005) investigated Sakiadis flow of a UCM fluid. The role played by a fluid's elasticity on the characteristics of its Sakiadis flow was analyzed.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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: Mathematical Formulationmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

View full text Add to dashboard Cite

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“…The boundary layer equations governing two-dimensional flow of upper-convected Maxwell fluid were first derived by Harris. 1 Sadeghy et al 2 discussed flow over a moving flat plate, the so-called Sakiadis flow, considering Maxwell fluid. They derived local similarity solutions by four different approaches and concluded that velocity is a decreasing function of the local Deborah number.…”

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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Hydromagnetic blasius flow of power‐law nanofluids over a convectively heated vertical plate

2015

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In this study, the hydromagnetic Blasius flow of power‐law nanofluids is investigated numerically. A convectively heated impermeable vertical plate is used and a constant transverse magnetic field is applied at the plate surface. The characteristics of water‐based non‐Newtonian nanofluids are explored using a non‐Newtonian power‐law model. A Buongiorno model is employed to include the effects of Brownian motion and thermophoresis in the study. The governing mass, momentum, thermal energy, and nanoparticle concentration equations are transformed into nonlinear ordinary differential equations which are solved using a spectral relaxation method. The effects of nanofluid parameters (0≤Nb,Nt≤0.5), power index 0.5≤n≤1.5, generalized Prandtl (5≤Pr≤8), and Schmidt (0.5≤Sc≤2) numbers on dimensionless velocity, temperature, concentration, skin friction, local Nusselt, and Sherwood numbers are explored. It is found that pseudoplastic nanofluids have higher skin friction and lower heat and mass transfer rates than dilatant nanofluids.

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Sakiadis flow of an upper-convected Maxwell fluid

Cited by 150 publications

References 25 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

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

Hydromagnetic blasius flow of power‐law nanofluids over a convectively heated vertical plate

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