Darcy–Brinkman–Forchheimer forced convective pseudo-plastic nanofluid flow through annular sector duct

Abstract

In this research paper, we numerically analyze the flow and heat transfer rate of non-Newtonian pseudo-plastic nanofluid with variable apparent viscosity and thermal conductivity effects, respectively, through annular sector duct. Concentric pipes annular sector duct of an apex angle, [Formula: see text] and ratio of radii, [Formula: see text], is filled with saturated porous media. For this purpose, we utilize the power law Darcy–Brinkman flow model along with Forchheimer term. Also, the contribution of nanoparticles is accounted in carboxy methyl cellulose (CMC)-water, which has been taken as base fluid. Finite volume method (FVM) is utilized to discretize the governing mathematical model, whereas algebraic equations are solved numerically by using strongly implicit procedure (SIP). With the help of graphs, the impacts of nanoparticles’ contribution and porosity factor have been discussed by giving physical interpretation. Results are also found in the limiting sense and show the good agreement with already published data. At [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], we can observe down in [Formula: see text] and Nu upto [Formula: see text] and [Formula: see text], respectively, when n decreases from 1 to [Formula: see text], whereas [Formula: see text] and [Formula: see text], respectively, by decreasing the value of n from 1 to [Formula: see text]. For both cases of nanoparticles’ contribution, the downs in Nu have been observed same by decreasing the value of n.