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The Effects of Thermal Radiation on an Unsteady MHD Axisymmetric Stagnation-Point Flow over a Shrinking Sheet in Presence of Temperature Dependent Thermal Conductivity with Navier Slip.

Mondal S, Haroun NA, Sibanda P - PLoS ONE (2015)

Bottom Line: The flow is due to a shrinking surface that is shrunk axisymmetrically in its own plane with a linear velocity.The magnetic field is imposed normally to the sheet.The model equations that describe this fluid flow are solved by using the spectral relaxation method.

View Article: PubMed Central - PubMed

Affiliation: University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa.

ABSTRACT
In this paper, the magnetohydrodynamic (MHD) axisymmetric stagnation-point flow of an unsteady and electrically conducting incompressible viscous fluid in with temperature dependent thermal conductivity, thermal radiation and Navier slip is investigated. The flow is due to a shrinking surface that is shrunk axisymmetrically in its own plane with a linear velocity. The magnetic field is imposed normally to the sheet. The model equations that describe this fluid flow are solved by using the spectral relaxation method. Here, heat transfer processes are discussed for two different types of wall heating; (a) a prescribed surface temperature and (b) a prescribed surface heat flux. We discuss and evaluate how the various parameters affect the fluid flow, heat transfer and the temperature field with the aid of different graphical presentations and tabulated results.

No MeSH data available.


Related in: MedlinePlus

Effect of α on velocity profiles h(η) for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and ϵ = 0.5.
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pone.0138355.g004: Effect of α on velocity profiles h(η) for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and ϵ = 0.5.

Mentions: We note that for a stretching sheet α is positive and for a shrinking sheet α is negative while α = 0 represents Hiemenz flow. Figs 3 and 4 show the effect of α on the vertical velocity components f′(η) and h(η). We observe that f′(η) increases with increases in α while the value of h(η) decreases with increases in the values of α.


The Effects of Thermal Radiation on an Unsteady MHD Axisymmetric Stagnation-Point Flow over a Shrinking Sheet in Presence of Temperature Dependent Thermal Conductivity with Navier Slip.

Mondal S, Haroun NA, Sibanda P - PLoS ONE (2015)

Effect of α on velocity profiles h(η) for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and ϵ = 0.5.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4587369&req=5

pone.0138355.g004: Effect of α on velocity profiles h(η) for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and ϵ = 0.5.
Mentions: We note that for a stretching sheet α is positive and for a shrinking sheet α is negative while α = 0 represents Hiemenz flow. Figs 3 and 4 show the effect of α on the vertical velocity components f′(η) and h(η). We observe that f′(η) increases with increases in α while the value of h(η) decreases with increases in the values of α.

Bottom Line: The flow is due to a shrinking surface that is shrunk axisymmetrically in its own plane with a linear velocity.The magnetic field is imposed normally to the sheet.The model equations that describe this fluid flow are solved by using the spectral relaxation method.

View Article: PubMed Central - PubMed

Affiliation: University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa.

ABSTRACT
In this paper, the magnetohydrodynamic (MHD) axisymmetric stagnation-point flow of an unsteady and electrically conducting incompressible viscous fluid in with temperature dependent thermal conductivity, thermal radiation and Navier slip is investigated. The flow is due to a shrinking surface that is shrunk axisymmetrically in its own plane with a linear velocity. The magnetic field is imposed normally to the sheet. The model equations that describe this fluid flow are solved by using the spectral relaxation method. Here, heat transfer processes are discussed for two different types of wall heating; (a) a prescribed surface temperature and (b) a prescribed surface heat flux. We discuss and evaluate how the various parameters affect the fluid flow, heat transfer and the temperature field with the aid of different graphical presentations and tabulated results.

No MeSH data available.


Related in: MedlinePlus