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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

Effects of ϵ on temperature profiles (PST case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.
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pone.0138355.g010: Effects of ϵ on temperature profiles (PST case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.

Mentions: Figs 8 and 9 show that the temperature profiles decrease monotonically with an increase in the magnetic parameter in both the PST and the PHF cases, respectively. The extent of the reverse circular flow above the sheet decreases with increases in M. This is a consequence of the fact that the temperature field given by Eq (18) is influenced by the advection of the fluid velocity above the sheet. Figs 10 and 11 exhibit the temperature profiles for different values of thermal conductivity parameter ϵ where the other parameters are fixed for both the PST and PHF cases, respectively. The temperature profiles increase with an increase in the thermal conductivity parameter due to increases in the thermal boundary layer thickness in both the PST and PHF cases.


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)

Effects of ϵ on temperature profiles (PST case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.
© Copyright Policy
Related In: Results  -  Collection

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

pone.0138355.g010: Effects of ϵ on temperature profiles (PST case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.
Mentions: Figs 8 and 9 show that the temperature profiles decrease monotonically with an increase in the magnetic parameter in both the PST and the PHF cases, respectively. The extent of the reverse circular flow above the sheet decreases with increases in M. This is a consequence of the fact that the temperature field given by Eq (18) is influenced by the advection of the fluid velocity above the sheet. Figs 10 and 11 exhibit the temperature profiles for different values of thermal conductivity parameter ϵ where the other parameters are fixed for both the PST and PHF cases, respectively. The temperature profiles increase with an increase in the thermal conductivity parameter due to increases in the thermal boundary layer thickness in both the PST and PHF cases.

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