Numerical approach for stagnation point flow of Sutterby fluid impinging to Cattaneo–Christov heat flux model

• Published in: Pramāṇa 2018-11, Vol.91 (5), p.1-7, Article 61
• Main Authors: Azhar, Ehtsham, Iqbal, Z, Ijaz, S, Maraj, E N
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Astroparticles; Computational fluid dynamics; Conduction heating; Conductive heat transfer; Deborah number; Fluid flow; Fourier law; Heat flux; Mathematical models; Newtonian fluids; Non Newtonian fluids; Observations and Techniques; Physics; Physics and Astronomy; Prandtl number; Reynolds number; Runge-Kutta method; Shear stress; Shear thickening (liquids); Shear thinning (liquids); Stagnation point; Temperature profiles; Thermal boundary layer; Thickening; Viscosity
• ISSN: 0304-4289; 0973-7111
• DOI: 10.1007/s12043-018-1640-z

The present study examines the stagnation point flow of a non-Newtonian fluid along with the Cattaneo–Christov heat flux model. The coupled system is simplified using suitable similar solutions and solved numerically by incorporating the shooting method with the Runge–Kutta of order five. The motivation is to analyse the heat transfer using an amended form of Fourier law of heat conduction known as the Cattaneo–Christov heat flux model. The influences of significant parameters are taken into the account. The computed results of velocity and temperature profiles are displayed by means of graphs. The notable findings are as follows. The viscous and thermal boundary layer exhibits opposite trends for Reynolds number, Deborah number and power-law index. The shear stress at the wall displays reverse patterns for shear thinning and shear thickening fluids. The Prandtl number contributes to increasing the Nusselt number while the Deborah number of heat flux plays the role of reducing it.