Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness

Hayat, Tasawar; Hussain, Zakir; Muhammad, Taseer; Alsaedi, Ahmed

doi:10.1016/j.molliq.2016.06.083

Cited by 145 publications

(40 citation statements)

References 46 publications

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“…From the results shown in table, one can see that the wall heat flux increases with the increase of the nano-particle volume fraction. From figure (12) we find that the fluid temperature increases with the increase of and however it is greater than that of the corresponding case of pure fluid (). Such results can be justified as follows: The immersing of nano-particles into pure fluid improves the thermal conductivity of the fluid and the enhancement of increases the frictional forces inside the fluid and that between the fluid and the surface.…”

Section: Discussionmentioning

confidence: 71%

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Emam¹,

Elmaboud²

2017

IJHT

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The effect of magnetic field on the three-dimensional flow of a nanofluid induced by exponentially stretching surface is studied. The fluid temperature is also assumed to be distributed exponentially. The problem is solved using two methods: The first one is numerical and the second is homotopy analysis method (HAM). The obtained results are compared with some previous studies in some limiting cases and found to be in a good agreement. The results reveal the roles that the nano-particle volume fraction and magnetic field strength play in the variation of both of the fluid temperature and velocity.

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Section: Discussionmentioning

confidence: 71%

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Emam¹,

Elmaboud²

2017

IJHT

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“…Problem formulation is made through small magnetic Reynolds number approximation. The homotopy analysis technique (HAM) [31][32][33][34][35][36][37][38][39][40] is applied to obtain the convergent solutions of the governing equations. The present study has been arranged as follows.…”

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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“…Heat transfer mechanism is employed through Cattaneo-Christov heat flux theory. Homogeneous reaction for cubic autocatalysis is [36, 38]: while the heterogeneous reaction on the catalyst surface has been expressed by where rate constants are denoted by k c and k s and the chemical species A and B have concentrations a and b respectively. The boundary layer equations governing the flow of viscoelastic fluids in the absence of viscous dissipation and thermal radiation can be written as follows [27, 38]: …”

Section: Modelingmentioning

confidence: 99%

“…Hayat et al [37] reported Cattaneo-Christov heat flux effect in Jeffrey fluid flow subject to homogeneous-heterogeneous reactions. Hayat et al [38] also examined the effects of homogeneous-heterogeneous reactions in flow of nanofluids over a nonlinear stretchable sheet having variable thickness. Sajid et al [39] explored the homogeneous-heterogeneous reactions in magnetohydrodynamic nanofluid flow by a curved surface.…”

Section: Introductionmentioning

confidence: 99%

Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

et al. 2017

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Here Darcy-Forchheimer flow of viscoelastic fluids has been analyzed in the presence of Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results for two viscoelastic fluids are obtained and compared. A linear stretching surface has been used to generate the flow. Flow in porous media is characterized by considering the Darcy-Forchheimer model. Modified version of Fourier's law through Cattaneo-Christov heat flux is employed. Equal diffusion coefficients are employed for both reactants and auto catalyst. Optimal homotopy scheme is employed for solutions development of nonlinear problems. Solutions expressions of velocity, temperature and concentration fields are provided. Skin friction coefficient and heat transfer rate are computed and analyzed. Here the temperature and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to classical Fourier's law of heat conduction. Moreover, the homogeneous and heterogeneous reactions parameters have opposite behaviors for concentration field.

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Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness

Cited by 145 publications

References 46 publications

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

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