Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder

Nonlinear engineering: Modeling and application

article

S. Abdul Gaffar¹  V. Ramachandra Prasad²  P. Ramesh Reddy³  B.Md. Hidayathulla Khan⁴ 

[1] Department of Information Technology, Mathematics Section, Salalah College of Technology;Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology;Department of Mathematics, Madanapalle Institute of Technology and Science;Department of Mathematics, Sir Vishveshwaraiah Institute of Science and Technology

关键词: Non-Newtonian Third-grade fluid;    Material fluid parameters;    Thermal Radiation;    Biot number;   

DOI  :  10.1515/nleng-2018-0078

来源: De Gruyter

【 摘 要 】

In this article, we study the nonlinear steady thermal convection of an incompressible third-grade non-Newtonian fluid from a horizontal circular cylinder. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-differences Keller Box technique. The influence of a number of emerging non-dimensional parameters, namely the third-grade fluid parameter ( ϕ ), the material fluid parameters ( ϵ 1 , ϵ 2 ), Prandtl number ( Pr ), Biot number ( y ), thermal radiation ( F ) and dimensionless tangential coordinate ( ξ ) on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation is achieved. It is found that the velocity, skin friction and Nusselt number (heat transfer rate) reduce with increasing third grade fluid parameter ( ϕ ), whereas the temperature is enhanced. Increasing material fluid parameter ( ϵ 1 ) reduces the velocity and heat transfer rate but enhances the temperature and skin friction. The study is relevant to chemical materials processing applications and low density polymer materials processing.

【 授权许可】

Unknown