Effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition

Olanrewaju, P. O.; Gbadeyan, J.A.; Hayat, Tasawar; Hendi, Awatif A.

doi:10.4102/sajs.v107i9/10.476

Cited by 13 publications

(23 citation statements)

References 24 publications

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“…Cortell (2010) have highlighted the effect of the internal heat generation and radiation on a certain free convection flow. (Olanrewaju et al, 2011) have examined the effects of internal heat generation, thermal radiation, and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition. The non-linear equations governing the flow were solved numerically using a shooting technique together with a sixth-order Runge-Kutta integration scheme.On the other hand, the radiation flux and internal heat source effects on free convection over some geometries have been examined by Rahman (2010);Ferdows et al (2011);Elbashbeshy et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Variable Heat Source and Wall Radiation Effects on Boundary Layer Convection From an Inclined Plate in Non-Darcian Porous Medium

Flilihi¹,

Sriti²,

Achemlal³

et al. 2017

Frontiers in Heat and Mass Transfer

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A semi -analytical investigation is performed to analyze the thermal convection flow with a radiation flux and a variable internal heat generation along an inclined plate embedded in a saturated porous medium. The flow in the porous medium is modeled with the Darcy-Brinkman law taking into account the convective term, while the temperature field is obtained from the energy equation. These governing equations with the boundary conditions are first cast into a dimensionless form by using a unique similarity transformation and the resulting coupled differential equations are then solved numerically by a computational program based on the fifth order Runge-Kutta scheme with shooting iteration technique. The obtained results are presented in dimensional and dimensionless form. The effects of the main governing parameters, such as permeability, radiation, internal heat generation, inclination angle, Grashof number, Prandtl number, fluid suction on the isothermal lines distributions, the local Nusselt number and the local skin-friction profiles are examined and the physical aspect of the problem is discussed. The comparison with previously published work shows excellent agreement.

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Section: Introductionmentioning

confidence: 99%

Variable Heat Source and Wall Radiation Effects on Boundary Layer Convection From an Inclined Plate in Non-Darcian Porous Medium

Flilihi¹,

Sriti²,

Achemlal³

et al. 2017

Frontiers in Heat and Mass Transfer

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“…Hayat et al [23] extended the wok of Raptis et al [22]. The present study is the unsteady work of Olanrewaju et al [24] to include the heat generation and the thermal radiation which has application in industry, science and engineering. In the present study we discuss possible similarity cases for unsteady boundary layer flow over a vertical plate.…”

Section: Introductionmentioning

confidence: 99%

Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate

Zahed¹

2017

ACM

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Abstract:In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge-Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.

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“…Moreover, Aziz [16] studied a similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Very recently, Olanrewaju, et al [17] examined the effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Further Results on the Effects of Variable Viscosity and Magnetic Field on Flow and Heat Transfer to a Continuous Flat Plate in the Presence of Heat Generation and Radiation with a Convective Boundary Condition

Olanrewaju¹,

Anake²,

Arulogun³

et al. 2012

AJCAM

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The steady, laminar boundary layer flow with a convective boundary condition, to a continuously moving flat plate is studied taking into account the variation of viscosity with temperature in the presence of a magnetic field, heat generation and thermal radiation. The fluid viscosity is assumed to vary as a linear function of temperature. The resulting, governing equations are non-dimensionalized and transformed using a similarity transformation and then solved numerically by sixth order Runge-Kutta method alongside with shooting method. Comparison with previously published work is performed and there was a perfect agreement at large value of the Biot number. A parametric study of all the embedded flow parameters involved is conducted, and a representative set of numerical results for the velocity and temperature profiles as well as the skin-friction parameter and the Nusselt number is illustrated graphically to show typical trend of the solutions. It is worth pointing out that, when the variation of viscosity with temperature is strong in the presence of the effect of a magnetic field, radiation, heat generation, the results of the present work are completely different from those that studied the same problem in the absence of magnetic field, thermal radiation and the heat generation. It is interesting to note that higher the values of Prandtl number lesser the effects of Biot number and the magnetic field intensity.

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Effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition

Cited by 13 publications

References 24 publications

Variable Heat Source and Wall Radiation Effects on Boundary Layer Convection From an Inclined Plate in Non-Darcian Porous Medium

Variable Heat Source and Wall Radiation Effects on Boundary Layer Convection From an Inclined Plate in Non-Darcian Porous Medium

Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate

Further Results on the Effects of Variable Viscosity and Magnetic Field on Flow and Heat Transfer to a Continuous Flat Plate in the Presence of Heat Generation and Radiation with a Convective Boundary Condition

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