Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity

Mahmoud, Mostafa A. A.

doi:10.1016/j.physa.2006.09.010

Cited by 142 publications

(65 citation statements)

References 20 publications

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“…Now there is an abundant literature available on the flow induced by a stretching sheet with heat transfer [1][2] . Heat transfer characteristics are dependent on the thermal boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2017

jusps-B

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In this paper we study the MHD flow and heat transfer of micro polar Nano fluid with prescribed heat flux over an unsteady stretching sheet. The governed partial differential equations are highly nonlinear and they are converted into ordinary differential equations by using the similarity transformations. These equations are solved by implicit finite difference scheme known as Keller Box method. The effects of unsteadiness parameter (S), material parameter (m), viscosity (K), Prandtl number (Pr), Brownian motion parameter (Nb) and thermo phoresis parameter (Nt) on the flow and heat transfer characteristics are studied.

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Section: Introductionmentioning

confidence: 99%

Untitled

2017

jusps-B

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“…Odda and Farhan [5] studied the effects of variable properties of micropolar fluid on heat transfer from a stretching sheet by Chebyshev finite difference method and showed that the suction effect leads to decrease of temperature values in the boundary layer, while blowing has an inverse influence. Mahmoud [6] investigated the effects of thermal radiation and MHD on micropolar fluid flow over a stretching sheet, and the results showed that the increase of magnetic parameter or thermal conductivity parameter thickens thermal boundary layer. Rahman et al [7] considered the effects of variable surface temperature on heat transfer to a micropolar fluid along a stretching sheet while the viscosity is assumed temperature-dependent.…”

Section: Introductionmentioning

confidence: 99%

The effect of temperature-dependent viscosity and thermal conductivity on micropolar fluid over a stretching sheet

Keimanesh

Aghanajafi

2017

Teh. vjesn.

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Original scientific paper In this paper, the flow and heat transfer characteristics of a micropolar fluid flow over a stretching sheet are studied. The effects of magnetic field, radiation heat flux and porous sheet are investigated, and the viscosity and thermal conductivity are supposed temperature-dependent. The governing equations are formulated by boundary layer approximation and the theory of micropolar fluids. To solve the problem, the partial differential equations are transformed into the ordinary differential equations by using similarity solutions, and the achieved equations are solved by shooting method and fourthorder Runge-Kutta. The results show that the effects of magnetic field and porousness result in decrease of the velocity values in the boundary layers, but the presence of radiation heat flux results in the growth of the boundary layer thickness. Furthermore, the thickness of thermal boundary layer declines by increase of suction parameter and reduction of radiation and magnetic field effects.Keywords: magnetic field; micropolar fluid; porous sheet; radiation; stretching sheet; thermal conductivity; viscosity Djelovanje o temperaturi ovisnog viskoziteta i toplinske vodljivosti na mikropolarni fluid preko elastičnog limaIzvorni znanstveni članak U radu se istražuju karakteristike protoka i prijenosa topline mikropolarnog toka fluida preko elastičnog lima. Istražuju se utjecaji magnetskog polja, toka topline radijacije i poroznog lima, uz pretpostavku da su viskoznost i toplinska vodljivost ovisne o temperature. Primijenjene su jednadžbe formulirane aproksimacijom graničnog sloja i teorijom mikropolarnih fluida. Za rješenje problema, parcijalne diferencijalne jednadžbe transformirane su u obične diferencijalne jednadžbe primjenom rješenja sličnosti, a dobivene jednadžbe rješavane su metodom izbacivanja i metodom Runge-Kutta četvrtog reda (fourth-order Runge-Kutta). Rezultati pokazuju da djelovanje magnetskog polja i poroznosti rezultira smanjenjem vrijednosti brzine u graničnim slojevima, strujanje topline radijacije rezultira povećanjem debljine graničnog sloja. Nadalje, debljina toplinskog graničnog sloja smanjuje se porastom usisnog parametra i redukcijom učinaka radijacijskog i magnetskog polja.

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“…The radiative flows of an electrically conducting fluid with high temperature, in the presence of a magnetic field, are encountered in electrical power generation, astrophysical flows, solar power technology, space vehicle re-entry, nuclear engineering applications and other industrial areas. The radiation effects on boundary layer flow with and without applying a magnetic field under different situations has been studied by many investigators, for examples: Israel-cookey et al [22], Mahmoud [23], Hayat et al [24]. Radiative heat and mass transfer play an important role in manufacturing industries for the design of fins, steel rolling, nuclear power plants, gas turbines and various propulsion devices for aircraft, missiles, satellites and space vehicles are examples of such engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Radiation Effects on Unsteady MHD Free Convective Heat and Mass Transfer Flow Of Past a Vertical Porous Plate Embedded In a Porous Medium with Viscous Dissipation

Ibrahim¹,

Reddy²,

Ja³

2014

IJIRSET

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An analysis of thermal radiation effects on unsteady MHD free convective heat and mass transfer flow past a vertical porous plate immersed in a porous medium with time dependent suction in presence of magnetic field with viscous dissipation has been considered by employing shooting iteration technique along with fourth order RungeKutta integration scheme. Resulting non-dimensional velocity, temperature and concentration profiles are then presented graphically for different values of the parameters entering into the problem. Finally, the effects of the pertinent parameters on the skin-friction coefficient, the rate of heat transfer (Nusselt number) and the rate of mass transfer (Sherwood number), which are of physical interest, are exhibited in the tabular form.

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Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity

Cited by 142 publications

References 20 publications

Untitled

Untitled

The effect of temperature-dependent viscosity and thermal conductivity on micropolar fluid over a stretching sheet

Radiation Effects on Unsteady MHD Free Convective Heat and Mass Transfer Flow Of Past a Vertical Porous Plate Embedded In a Porous Medium with Viscous Dissipation

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