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Numerical Study of Cattaneo-Christov Heat Flux Model for Viscoelastic Flow Due to an Exponentially Stretching Surface.

Ahmad Khan J, Mustafa M, Hayat T, Alsaedi A - PLoS ONE (2015)

Bottom Line: This model can predict the effects of thermal relaxation time on the boundary layer.A comparison of Fourier's law and the Cattaneo-Christov's law is also presented.Present attempt even in the case of Newtonian fluid is not yet available in the literature.

View Article: PubMed Central - PubMed

Affiliation: Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan.

ABSTRACT
This work deals with the flow and heat transfer in upper-convected Maxwell fluid above an exponentially stretching surface. Cattaneo-Christov heat flux model is employed for the formulation of the energy equation. This model can predict the effects of thermal relaxation time on the boundary layer. Similarity approach is utilized to normalize the governing boundary layer equations. Local similarity solutions are achieved by shooting approach together with fourth-fifth-order Runge-Kutta integration technique and Newton's method. Our computations reveal that fluid temperature has inverse relationship with the thermal relaxation time. Further the fluid velocity is a decreasing function of the fluid relaxation time. A comparison of Fourier's law and the Cattaneo-Christov's law is also presented. Present attempt even in the case of Newtonian fluid is not yet available in the literature.

No MeSH data available.


Related in: MedlinePlus

Effect of A on θ(η).
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pone.0137363.g003: Effect of A on θ(η).

Mentions: In Fig 3 the impact of temperature exponent A on the temperature profile is sketched. This Figdepicts an interesting phenomenon of “Sparrow-Gregg hill (SGH)” for negative temperature exponent A in which temperature θ first approaches to a maximum and then exponentially descends to zero when η is increased. This means that for some negative A, one expects reverse heat flow in the vicinity of the sheet. This result is consistent with the findings of Magyari and Keller [7] for the Fourier heat conduction law. With an increase in positive/negative temperature exponent parameter A, we observe a sharp growth in wall slope of temperature function.


Numerical Study of Cattaneo-Christov Heat Flux Model for Viscoelastic Flow Due to an Exponentially Stretching Surface.

Ahmad Khan J, Mustafa M, Hayat T, Alsaedi A - PLoS ONE (2015)

Effect of A on θ(η).
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4556650&req=5

pone.0137363.g003: Effect of A on θ(η).
Mentions: In Fig 3 the impact of temperature exponent A on the temperature profile is sketched. This Figdepicts an interesting phenomenon of “Sparrow-Gregg hill (SGH)” for negative temperature exponent A in which temperature θ first approaches to a maximum and then exponentially descends to zero when η is increased. This means that for some negative A, one expects reverse heat flow in the vicinity of the sheet. This result is consistent with the findings of Magyari and Keller [7] for the Fourier heat conduction law. With an increase in positive/negative temperature exponent parameter A, we observe a sharp growth in wall slope of temperature function.

Bottom Line: This model can predict the effects of thermal relaxation time on the boundary layer.A comparison of Fourier's law and the Cattaneo-Christov's law is also presented.Present attempt even in the case of Newtonian fluid is not yet available in the literature.

View Article: PubMed Central - PubMed

Affiliation: Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan.

ABSTRACT
This work deals with the flow and heat transfer in upper-convected Maxwell fluid above an exponentially stretching surface. Cattaneo-Christov heat flux model is employed for the formulation of the energy equation. This model can predict the effects of thermal relaxation time on the boundary layer. Similarity approach is utilized to normalize the governing boundary layer equations. Local similarity solutions are achieved by shooting approach together with fourth-fifth-order Runge-Kutta integration technique and Newton's method. Our computations reveal that fluid temperature has inverse relationship with the thermal relaxation time. Further the fluid velocity is a decreasing function of the fluid relaxation time. A comparison of Fourier's law and the Cattaneo-Christov's law is also presented. Present attempt even in the case of Newtonian fluid is not yet available in the literature.

No MeSH data available.


Related in: MedlinePlus