Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet

Hayat, Tasawar; Qasim, Muhammad

doi:10.1002/fld.2285

Cited by 40 publications

(20 citation statements)

References 47 publications

(16 reference statements)

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“…A uniform stress leading to equal and opposite forces is applied along the x-axis, so that the sheet is stretched keeping the origin fixed. Following the work of Hayat and Qasim [6] and Afify [14], we assume that a uniform transverse magnetic field of strength B is imposed parallel to the y-axis and the induced magnetic field due to the motion of the electrically-conducting fluid is negligible. We also assume that the external electrical field is zero and the electric field due to the polarization of charges is negligible.…”

Section: Problem Formulationmentioning

confidence: 99%

“…On the other hand, stretching sheet problems with double diffusion are important in extrusion process, glass fibber, paper production, hot rolling, wire drawing, electronic chips, crystal growing, plastic manufactures, food processing, and movement of biological fluids [6]. Khan and Pop [7] investigated the laminar flow of a nanofluid on a stretching flat surface by incorporating the effects of Brownian motion, thermophoresis and reported to be the pioneer for this study of stretching sheet in nanofluid.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Conjugate Effects of Radiation Flux on Double Diffusive MHD Free Convection Flow of a Nanofluid over a Power Law Stretching Sheet

Anwar

Shafie

Khan

et al. 2012

ISRN Thermodynamics

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This study theoretically investigates the conjugate effects of radiation flux and magnetohydrodynamic (MHD) on free convection boundary layer flow of a nanofluid over a nonlinear stretching sheet. It is assumed that the magnetic Reynolds number is small enough and the sheet is stretched with a power law velocity under the effects of the magnetic field, the buoyancy parameter, and the solutal buoyancy parameter. The model used for the nanofluid incorporates the effects of Rosseland approximation, Brownian motion, and thermophoresis parameters. By using appropriate similarity transformations, the governing nonlinear partial differential equations are transformed into dimensionless form and numerically solved using an implicit finite difference scheme known as the Keller-box method. It is found that the variations of magnetic field, buoyancy parameter, solutal buoyancy parameter, and the power law velocity parameter have strong influence on the motion.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Conjugate Effects of Radiation Flux on Double Diffusive MHD Free Convection Flow of a Nanofluid over a Power Law Stretching Sheet

Anwar

Shafie

Khan

et al. 2012

ISRN Thermodynamics

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“…In view of the increasing importance of non-Newtonian flow, especially in second grade fluids which exhibit both viscous and elastic characteristics, many researchers have studied convective heat transfer in second grade fluids using various conditions and geometries, for example: Mushtaq et al [1], Hsiao [2], Hayat et al [3], Hayat and Qasim [4], Olajuwon [5] and Turkyilmazoglu [6]. Recently, Hayat et al [7] investigated the three-dimensional mixed convection flow of viscoelastic fluid past an exponentially stretching surface by taking into account the effects of thermal radiation and convective conditions.…”

Section: Introductionmentioning

confidence: 99%

G-jitter induced mixed convection flow of a second grade fluid past an inclined stretching sheet

et al. 2018

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Abstract. An analysis was carried out to study the mixed convection flow of a non-Newtonian second grade fluid past an inclined stretching sheet in the presence of a g-jitter effect. The transformed governing equation, consisting of coupled non-linear partial differential equations, was solved numerically using an implicit finite-difference scheme known as the Keller-box method. The flow and heat transfer characteristics in terms of velocity and temperature profiles as well as the skin friction and heat transfer coefficients influenced by the amplitude of modulation, frequency of oscillation, inclination angle and second grade parameters were presented graphically and analysed in detail. The findings revealed that the heat transfer coefficient is enhanced with an increase in the second grade parameter, whereas the opposite trend is observed for the skin friction coefficient.

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“…The boundary layer flows of non-Newtonian fluids over a stretching sheet with heat and mass transfer are important in several areas such as paper production, glass fibber, extrusion process, wire drawing, crystal growing, hot rolling, food processing, electronic chips, movement of biological fluids, plastic manufacture and application of paints (Hayat and Qasim [19]). Bhargava et al [20] studied the heat and mass transfer of boundary layer flow over a non-linear stretching sheet under the effects of different physical parameters.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

Popoola¹,

Baoku²,

Olajuwon³

2016

IJHT

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The paper carries out an analysis on the momentum, heat and mass transfer characteristics in an incompressible magnetohydrodynamic non-Newtonian boundary flow of a viscoelastic fluid over a stretching sheet in the presence of thermal diffusion and chemical reaction. The partial differential equations governing the flow as well as heat and mass transfer features are converted into highly non-linear coupled ordinary differential equations by similarity transformations. The resulting differential equations are solved by using a shooting technique with fifth-order Runge-Kutta-Fehlberg integration scheme. The influence of magnetic interaction, variable thermal conductivity, viscoelastic, variable fluid viscosity, heat source/sink rate of chemical reaction, themal radiation and thermal diffusion parameters as well as Prandtl and Schmidt numbers are analyzed for velocity, temperature and concentration profiles. The wall shear stress, wall temperature and concentration gradients are also investigated for the problem. The fluid viscosity varies as an inverse function of velocity while the thermal conductivity assumes a linear and an inverse function of temperature and concentration respectively. The study shows that the thermal diffusion and thermal radiation parameters have opposite effects on the skin friction coefficient and wall concentration gradient. However, the rate of chemical reaction has similar influence on the skin friction coefficient and wall temperature gradient.

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Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet

Cited by 40 publications

References 47 publications

Conjugate Effects of Radiation Flux on Double Diffusive MHD Free Convection Flow of a Nanofluid over a Power Law Stretching Sheet

Conjugate Effects of Radiation Flux on Double Diffusive MHD Free Convection Flow of a Nanofluid over a Power Law Stretching Sheet

G-jitter induced mixed convection flow of a second grade fluid past an inclined stretching sheet

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

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