Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet

Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing...
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Autor*in:	Hady, Fekry M [verfasserIn] Ibrahim, Fouad S [verfasserIn] Abdel-Gaied, Sahar M [verfasserIn] Eid, Mohamed R [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	nanofluid nonlinearly stretching surface viscous dissipation thermal radiation.

Übergeordnetes Werk:	Enthalten in: Nanoscale research letters - New York, NY [u.a.] : Springer, 2006, 7(2012), 1 vom: 22. Apr.
Übergeordnetes Werk:	volume:7 ; year:2012 ; number:1 ; day:22 ; month:04

Links:	Volltext

DOI / URN:	10.1186/1556-276X-7-229

Katalog-ID:	SPR021742987

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520			\|a Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles.
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allfields	10.1186/1556-276X-7-229 doi (DE-627)SPR021742987 (SPR)1556-276X-7-229-e DE-627 ger DE-627 rakwb eng 600 ASE Hady, Fekry M verfasserin aut Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles. nanofluid (dpeaa)DE-He213 nonlinearly stretching surface (dpeaa)DE-He213 viscous dissipation (dpeaa)DE-He213 thermal radiation. (dpeaa)DE-He213 Ibrahim, Fouad S verfasserin aut Abdel-Gaied, Sahar M verfasserin aut Eid, Mohamed R verfasserin aut Enthalten in Nanoscale research letters New York, NY [u.a.] : Springer, 2006 7(2012), 1 vom: 22. Apr. (DE-627)518632474 (DE-600)2253244-4 1556-276X nnns volume:7 year:2012 number:1 day:22 month:04 https://dx.doi.org/10.1186/1556-276X-7-229 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2012 1 22 04
spelling	10.1186/1556-276X-7-229 doi (DE-627)SPR021742987 (SPR)1556-276X-7-229-e DE-627 ger DE-627 rakwb eng 600 ASE Hady, Fekry M verfasserin aut Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles. nanofluid (dpeaa)DE-He213 nonlinearly stretching surface (dpeaa)DE-He213 viscous dissipation (dpeaa)DE-He213 thermal radiation. (dpeaa)DE-He213 Ibrahim, Fouad S verfasserin aut Abdel-Gaied, Sahar M verfasserin aut Eid, Mohamed R verfasserin aut Enthalten in Nanoscale research letters New York, NY [u.a.] : Springer, 2006 7(2012), 1 vom: 22. Apr. (DE-627)518632474 (DE-600)2253244-4 1556-276X nnns volume:7 year:2012 number:1 day:22 month:04 https://dx.doi.org/10.1186/1556-276X-7-229 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2012 1 22 04
allfields_unstemmed	10.1186/1556-276X-7-229 doi (DE-627)SPR021742987 (SPR)1556-276X-7-229-e DE-627 ger DE-627 rakwb eng 600 ASE Hady, Fekry M verfasserin aut Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles. nanofluid (dpeaa)DE-He213 nonlinearly stretching surface (dpeaa)DE-He213 viscous dissipation (dpeaa)DE-He213 thermal radiation. (dpeaa)DE-He213 Ibrahim, Fouad S verfasserin aut Abdel-Gaied, Sahar M verfasserin aut Eid, Mohamed R verfasserin aut Enthalten in Nanoscale research letters New York, NY [u.a.] : Springer, 2006 7(2012), 1 vom: 22. Apr. (DE-627)518632474 (DE-600)2253244-4 1556-276X nnns volume:7 year:2012 number:1 day:22 month:04 https://dx.doi.org/10.1186/1556-276X-7-229 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2012 1 22 04
allfieldsGer	10.1186/1556-276X-7-229 doi (DE-627)SPR021742987 (SPR)1556-276X-7-229-e DE-627 ger DE-627 rakwb eng 600 ASE Hady, Fekry M verfasserin aut Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles. nanofluid (dpeaa)DE-He213 nonlinearly stretching surface (dpeaa)DE-He213 viscous dissipation (dpeaa)DE-He213 thermal radiation. (dpeaa)DE-He213 Ibrahim, Fouad S verfasserin aut Abdel-Gaied, Sahar M verfasserin aut Eid, Mohamed R verfasserin aut Enthalten in Nanoscale research letters New York, NY [u.a.] : Springer, 2006 7(2012), 1 vom: 22. Apr. (DE-627)518632474 (DE-600)2253244-4 1556-276X nnns volume:7 year:2012 number:1 day:22 month:04 https://dx.doi.org/10.1186/1556-276X-7-229 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2012 1 22 04
allfieldsSound	10.1186/1556-276X-7-229 doi (DE-627)SPR021742987 (SPR)1556-276X-7-229-e DE-627 ger DE-627 rakwb eng 600 ASE Hady, Fekry M verfasserin aut Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles. nanofluid (dpeaa)DE-He213 nonlinearly stretching surface (dpeaa)DE-He213 viscous dissipation (dpeaa)DE-He213 thermal radiation. (dpeaa)DE-He213 Ibrahim, Fouad S verfasserin aut Abdel-Gaied, Sahar M verfasserin aut Eid, Mohamed R verfasserin aut Enthalten in Nanoscale research letters New York, NY [u.a.] : Springer, 2006 7(2012), 1 vom: 22. Apr. (DE-627)518632474 (DE-600)2253244-4 1556-276X nnns volume:7 year:2012 number:1 day:22 month:04 https://dx.doi.org/10.1186/1556-276X-7-229 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2012 1 22 04
language	English
source	Enthalten in Nanoscale research letters 7(2012), 1 vom: 22. Apr. volume:7 year:2012 number:1 day:22 month:04
sourceStr	Enthalten in Nanoscale research letters 7(2012), 1 vom: 22. Apr. volume:7 year:2012 number:1 day:22 month:04
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institution	findex.gbv.de
topic_facet	nanofluid nonlinearly stretching surface viscous dissipation thermal radiation.
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container_title	Nanoscale research letters
authorswithroles_txt_mv	Hady, Fekry M @@aut@@ Ibrahim, Fouad S @@aut@@ Abdel-Gaied, Sahar M @@aut@@ Eid, Mohamed R @@aut@@
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author	Hady, Fekry M
spellingShingle	Hady, Fekry M ddc 600 misc nanofluid misc nonlinearly stretching surface misc viscous dissipation misc thermal radiation. Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet
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topic_title	600 ASE Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet nanofluid (dpeaa)DE-He213 nonlinearly stretching surface (dpeaa)DE-He213 viscous dissipation (dpeaa)DE-He213 thermal radiation. (dpeaa)DE-He213
topic	ddc 600 misc nanofluid misc nonlinearly stretching surface misc viscous dissipation misc thermal radiation.
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title	Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet
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title_full	Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet
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title_sort	radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet
title_auth	Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet
abstract	Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles.
abstractGer	Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles.
abstract_unstemmed	Abstract In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme was used to obtain the solution of the boundary value problem. The variations of dimensionless surface temperature, as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include the nanoparticle volume fraction ϕ, the nonlinearly stretching sheet parameter n, the thermal radiation parameter NR, and the viscous dissipation parameter Ec, were graphed and tabulated. Excellent validation of the present numerical results has been achieved with the earlier nonlinearly stretching sheet problem of Cortell for local Nusselt number without taking the effect of nanoparticles.
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title_short	Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet
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Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet

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