Limits...
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 Pr on θ(η).
© Copyright Policy
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4556650&req=5

pone.0137363.g002: Effect of Pr on θ(η).

Mentions: Fig 2 portrays the behavior of Prandtl number Pr on the thermal boundary layer with and without the consideration of thermal relaxation time. The behavior of Pr on θ is qualitatively similar in both the cases i.e. the temperature and thermal boundary layer thickness both are found to decrease upon increasing Pr. Notably the variation in temperature θ is similar in magnitude in both Fourier and Cattaneo-Christov heat flux models. Physically, the Prandtl number Pr is inversely related with the thermal diffusivity α. As Pr enlarges, one anticipates less thermal effect to penetrate into the fluid. Due to this reason the thermal boundary layer becomes thinner when Pr is increased. The thinner thermal boundary layer leads to a steeper temperature profile indicating larger 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 Pr on θ(η).
© Copyright Policy
Related In: Results  -  Collection

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

pone.0137363.g002: Effect of Pr on θ(η).
Mentions: Fig 2 portrays the behavior of Prandtl number Pr on the thermal boundary layer with and without the consideration of thermal relaxation time. The behavior of Pr on θ is qualitatively similar in both the cases i.e. the temperature and thermal boundary layer thickness both are found to decrease upon increasing Pr. Notably the variation in temperature θ is similar in magnitude in both Fourier and Cattaneo-Christov heat flux models. Physically, the Prandtl number Pr is inversely related with the thermal diffusivity α. As Pr enlarges, one anticipates less thermal effect to penetrate into the fluid. Due to this reason the thermal boundary layer becomes thinner when Pr is increased. The thinner thermal boundary layer leads to a steeper temperature profile indicating larger 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