A comprehensive physical insight about thermo physical aspects of Carreau fluid flow over a rotated disk of variable thickness by implementing finite difference approach

Sardar Bilal ^*, Imtiaz Ali Shah

Department of Mathematics, AIR University, P.A.F Complex, Sector E-9, P.O. 44000, Islamabad, Pakistan

Abstract: Present communication is devoted to analyze thermal characteristics of Carreau liquid flowing on variably thickened non-uniformly rotating disk. Mathematical formulation is constructed in view of complex coupled partial differential system. Afterwards, boundary layer approach is executed for comprehensive examination of under consideration phenomenon with in boundary layer region. Karman’s transformation is capitalized to convert the attained PDE’s into ordinary differential equations system. Solution of attained ODE’s system is solved numerically by implementing Keller-Box scheme. Influence of protuberant involved parameters on momentum and thermal distributions is illustrated through sketches. In addition, impact of flow concerning parameters on wall shear stress and thermal flux is also evaluated. The assurance of present finding is done by making agreement with published results and by restricting considered problem to Newtonian case. Here, we observed that radially and tangentially directed wall drag lessen with growing magnitude of power law exponent index. Moreover, the consequence of disk thickness parameter grows stresses along radial direction whereas opposite behavior is depicted in case of tangentially directed friction and heat flux factors.

Keywords: Carreau viscosity model; Rotating disk; Non-uniform thickness; Keller-Box method

https://doi.org/10.1016/j.jppr.2022.03.001