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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 Λ1 on f’(η).
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pone.0137363.g001: Effect of Λ1 on f’(η).

Mentions: Fig 1 illustrates the effects of non-dimensional fluid relaxation time on the hydrodynamic boundary layer. An increase in Λ1 may be regarded as increase in fluid viscosity. This increased viscosity opposes the fluid motion and consequently the velocity decreases. It is also clear that velocity profiles are tilted towards the stretching wall when Λ1 is increased which means that boundary layer thickness is an increasing function of Λ1. The obtained results are in accordance with the results of Han et al. [6] in which linearly stretching sheet was considered.


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 Λ1 on f’(η).
© Copyright Policy
Related In: Results  -  Collection

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

pone.0137363.g001: Effect of Λ1 on f’(η).
Mentions: Fig 1 illustrates the effects of non-dimensional fluid relaxation time on the hydrodynamic boundary layer. An increase in Λ1 may be regarded as increase in fluid viscosity. This increased viscosity opposes the fluid motion and consequently the velocity decreases. It is also clear that velocity profiles are tilted towards the stretching wall when Λ1 is increased which means that boundary layer thickness is an increasing function of Λ1. The obtained results are in accordance with the results of Han et al. [6] in which linearly stretching sheet was considered.

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