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Boundary Layer Flow and Cattaneo-Christov Heat Flux of a Nonlinear Stretching Sheet with a Suspended CNT

[ Vol. 9 , Issue. 4 ]

Author(s):

S. Shakunthala* and M.M. Nandeppanavar   Pages 494 - 503 ( 10 )

Abstract:


Background: In this article the Boundary layer flow and Cattaneo-Christov Heat flux of nonlinear stretching sheet in a suspended carbon nanotube is analyzed.

Methods: The governing classical PDE’s are changing into ODE’s using the similarity transformation method. This boundary value problem is solved by using numerical method known as Runge-Kutta fourth order method with effective shooting technique. Presently in this analysis , the flow, velocity and heat transfer characteristics for different heat transferphysical parameters such as nanofluid (ϕ), suction parameter (N>0), heat flux parameter (β) and Prandtl number (Pr) are studied for two cases i.e., single Wall Carbon Nanotube (SWCNT) and Multiwall Carbon Nanotube (MWCNT) respectively.

Results: Our results are in good agreement within a limiting condition comparing with previously published results. This study signifies that practical applications in science and engineering fields for example in functional ceramics, nano metals for energy and environmental applications.

Conclusion: A theoretical study of boundary layer flow and Catteneo-Christove heat flux is carried out. In this study some of the important findings are collected as follows:

1. The result of nanoparticle volume fraction f and suction parameter N shows that, as increasing f it increases the flow, velocity and temperature while as increasing N which increases the flow and temperature but decreases the velocity at boundary layer.

2. A comparison result is plotted which is an excellent agreement with previously published results.

3. As increasing the Prandtl number and relaxation time of heat flux parameter in the thermal boundary layer which decreases the temperature of thermal boundary layer.

4. Effect of relaxation time of heat flux is same for both local skin friction and local nusselt number i.e. increasing.

Keywords:

Boundary layer flow, Cattaneo-Christov heat flux, suction parameter, CNT, SWCNT, MWCNT, numerical method, convective boundary condition.

Affiliation:

Department of Studies and Research in Mathematics, Gulbarga University, Kalaburagi, Department of Studies and Research in Mathematics, Gulbarga University, Kalaburagi

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