Slip Flow and Convective Heat Transfer of The Carreau Fluid Over a Radially Stretching Sheet

G. Radha; N. Bhaskar Reddy; K. Gangadhar; S. Sudhakar Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V54P535

International Journal of Mathematics Trends and Technology

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Volume 54 | Number 4 | Year 2018 | Article Id. IJMTT-V54P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P535

Slip Flow and Convective Heat Transfer of The Carreau Fluid Over a Radially Stretching Sheet

G. Radha, N. Bhaskar Reddy, K. Gangadhar, S. Sudhakar Reddy

Abstract

The prime objective of present exploration is to study effects of velocity slip and convective heating on an incompressible two dimensional axisymmetric flow of the Carreau fluid over a radially stretching sheet. The Carreau constructive model is used to discuss the characteristics of both Shear-thinning and Shear- thickening fluids. The momentum equations for the two-dimensional field are first modeled for Carreau fluid with the aid of the boundary layer approximations obtained system of boundary layer equations is converted into ordinary differential equations with high linearity using appropriate transformations. Numerical solutions via fourth order Runge-Kutta method along with shooting technique are obtained and deliberated accordingly. Discussions of graphs pertaining different prominent parameters is also added. Numerical values of skin friction coefficient and local Nusselt number are also given and well deliberated. It is noted that higher values of the slip parameters, the velocity field and skin friction coefficient are reduced. Moreover, temperature field is as increasing function of Biot number.

Keywords

Axisymmetric flow, Carreau fluid, radially stretching sheet, velocity slip, convective condition.

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Citation :

G. Radha, N. Bhaskar Reddy, K. Gangadhar, S. Sudhakar Reddy, "Slip Flow and Convective Heat Transfer of The Carreau Fluid Over a Radially Stretching Sheet," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 4, pp. 305-319, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P535