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, 2β and ratio of radii, ˆR, 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 β=π/3, ϕ=0.10, Da=0.01 and ˆR=0.25, we can observe down in fRe and Nu upto 5.658% and 10.01%, respectively, when n decreases from 1 to 0.91, whereas 13.47% and 23.57%, respectively, by decreasing the value of n from 1 to 0.76. For both cases of nanoparticles’ contribution, the downs in Nu have been observed same by decreasing the value of n.
