Heat transfer in a fluid through a porous medium over a permeable stretching surface with thermal radiation and variable thermal conductivity

Cortell, Rafael

doi:10.1002/cjce.20639

Cited by 27 publications

(11 citation statements)

References 54 publications

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“…Magyari and Keller (1999) investigated the steady boundary layers on an exponentially stretching continuous surface with an exponential temperature distribution. Some recent attempts in this direction are described in El-Aziz (2009), Ishak (2011), Cortell (2012, Fang (2004), Rashad (2007), Khan and Pop (2011).…”

Section: Introductionmentioning

confidence: 96%

MHD flow over exponential radiating stretching sheet using homotopy analysis method

Mabood

Khan

Ismail

2017

Journal of King Saud University - Engineering Sciences

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An analytical solution for MHD boundary layer flow of a viscous incompressible fluid over an exponentially stretching sheet is developed in this study. The effect of thermal radiation is included in the energy equation. Through suitable similarity transformations, the governing equations are transformed into a system of nonlinear ordinary differential equations. Homotopy analysis method (HAM) has been used to get accurate and complete analytic solution. This study reveals that the governing parameters, namely, the magnetic and the radiation parameters have major effects on the flow field, skin friction coefficient, and the heat transfer rate. The magnetic field enhances the dimensionless temperature inside the thermal boundary layer whereas reduces the dimensionless velocity inside the hydrodynamic boundary layer. Heat transfer rate becomes low with magnetic and radiation parameters while the friction factor is increased with magnetic field. Moreover, a comparative study between the previously published and the present results in special cases is conducted and an excellent agreement is found between them.ª 2014 Production and hosting by Elsevier B.V. on behalf of King Saud University.

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Section: Introductionmentioning

confidence: 96%

MHD flow over exponential radiating stretching sheet using homotopy analysis method

Mabood

Khan

Ismail

2017

Journal of King Saud University - Engineering Sciences

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“…Makinde [5] investigated the buoyancy effect on magnetohydrodynamic stagnation point flow and heat transfer of nanofluids passing over a convectively heated stretching/shrinking sheet. The MHD fluid passing over a stretched sheet, through the porous media with the thermal radiation and the thermal conductivity was examined by Cortell [6].…”

Section: Introductionmentioning

confidence: 99%

Viscous dissipation and radiative effects on MHD stagnation point flow of nanofluid past a stretching sheet

Narender¹,

Sarma²,

Govardhan³

2018

TI-IJES

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A study of viscous dissipation and radiative effects of nanofluid flow passing over a stretched surface with the MHD stagnation point and the convective boundary condition has been analyzed numerically. The constitutive equations of the flow model are solved numerically and the impact of physical parameters concerning the flow model on dimensionless velocity, temperature and concentration are presented through graphs and tables. Also, a comparison of the obtained numerical results with the published results of W Ibrahim has been made and found that both are in excellent agreement.

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“…Yao et al (2011) studied heat transfer on a generalized stretching/shrinking wall with convective boundary condition. Heat transfer in a fluid through a porous medium over a permeable stretching surface with thermal radiation and variable thermal conductivity was analyzed by Cortell (2012). Hayat (2012) considered three-dimensional flow of a Jeffery fluid over a linearly stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

MHD Slip Flow and Heat Transfer Over an Exponentially Stretching Permeable Sheet Embedded in a Porous Medium With Heat Source

Sharma¹,

Choudhary²,

Makinde³

2017

Frontiers in Heat and Mass Transfer

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Steady two dimensional laminar magnetohydrodynamic (MHD) slip flow and heat transfer of a viscous incompressible and electrically conducting fluid past over a flat exponentially non-conducting stretching porous sheet embedded in a porous medium with non uniform permeability in the presence of non uniform heat source is investigated. The governing equations of velocity and temperature distributions are solved numerically and the effects of different physical parameters are shown through graphs. The rate of shear stress and the rate of heat transfer at the sheet are derived, discussed numerically and their numerical values for various values of physical parameters are presented through tables.

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Heat transfer in a fluid through a porous medium over a permeable stretching surface with thermal radiation and variable thermal conductivity

Cited by 27 publications

References 54 publications

MHD flow over exponential radiating stretching sheet using homotopy analysis method

MHD flow over exponential radiating stretching sheet using homotopy analysis method

Viscous dissipation and radiative effects on MHD stagnation point flow of nanofluid past a stretching sheet

MHD Slip Flow and Heat Transfer Over an Exponentially Stretching Permeable Sheet Embedded in a Porous Medium With Heat Source

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