Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux

Hayat, Tasawar; Shehzad, Sabir Ali; Alsaedi, Ahmed

doi:10.2478/johh-2014-0016

Cited by 32 publications

(11 citation statements)

References 34 publications

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“…Results are computed through homotopy analysis method. [21][22][23][24][25][26][27][28][29][30] Convergence of the constructed series solutions is ensured. Solutions expressions are analyzed via graphs and tabular values for different quantities.…”

Section: Introductionmentioning

confidence: 96%

Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid

et al. 2015

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This article explores the hydromagnetic steady flow of Jeffrey fluid in the presence of thermal radiation. The chosen nanofluid model takes into account the Brownian motion and thermophoresis effects. Flow and heat transfer characteristics are determined by a stretching surface with flux conditions. The nonlinear boundary layer flow through partial differential systems is converted into the ordinary differential systems. The resulting reduced systems are computed for the convergent solutions of velocity, temperature and nanoparticle concentration. Graphs of dimensionless temperature and nanoparticle concentration profiles are presented for different values of emerging parameters. Skin-friction coefficient are computed and analyzed in both hydrodynamic and hydromagnetic flow situations.

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Section: Introductionmentioning

confidence: 96%

Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid

et al. 2015

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“…This paper is organized as follows. After formulation the arising nonlinear problem is analytically solved using homotopy analysis method (HAM) [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] which is a novel technique. The behavior of dimensionless parameter convergence is checked.…”

Section: Introductionmentioning

confidence: 99%

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Hayat

Shafiq

Alsaedi

2015

Alexandria Engineering Journal

118

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This work is focused on the analytic solution of steady boundary layer axisymmetric flow of third-grade fluid over a continuously stretching cylinder in the presence of magnetic field. Suitable transformations are considered to reduce the partial differential equation into the ordinary differential equation. The obtained non-linear differential system is solved by homotopy analysis method (HAM). The effects of the emerging parameters such as third-grade parameter, secondgrade parameters and Reynolds number on the velocity are displayed and discussed. The expression of skin-friction coefficient is computed and presented. It is found that velocity and momentum boundary layer thickness are increasing functions of curvature parameter. Velocity profile is higher for third-grade fluid when compared with Newtonian and second-grade fluids with and without MHD effects for the cases (i) stretching cylinder and (ii) flat plate. ª 2015 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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“…The convective conditions through temperature and concentration are imposed on the surface. The governing dimensionless nonlinear ordinary differential equations are solved analytically by employing the homotopy analysis method (HAM) [28][29][30][31][32][33][34][35][36][37][38] and results are presented in the forms of series. Graphs of various interesting physical parameters are plotted for the temperature and concentration fields.…”

Section: Introductionmentioning

confidence: 99%

Influence of convective heat and mass conditions in MHD flow of nanofluid

Shehzad¹,

Hayat²,

Alsaedi³

2015

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. This article aims to investigate the two-dimensional magnetohydrodynamic (MHD) boundary layer flow of nanofluid. Convective mass condition is introduced. Analysis has been discussed in the presence of an applied magnetic field. The Brownian motion and thermophoresis effects are incorporated. The arising nonlinear problems are first converted to ordinary differential equations and then series solutions are constructed. Convergence of series solutions is examined through plots and numerical values. Results are plotted and discussed for the temperature and concentration. Numerical computations for skin-friction coefficient, local Nusselt and Sherwood numbers are performed and analyzed. Comparison with the previous limiting case is noted in an excellent agreement.

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Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux

Cited by 32 publications

References 34 publications

Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid

Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Influence of convective heat and mass conditions in MHD flow of nanofluid

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