Open AccessNumerical study of flow and heat transfer in a porous medium between two stretchable disks using quasi-linearization method
Author(s) -
Shaheen Akhter,
Muhammad Ashraf
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci180801163a
Subject(s) - linearization , mechanics , heat transfer , porous medium , flow (mathematics) , materials science , discretization , fluid dynamics , partial differential equation , viscosity , thermodynamics , nonlinear system , porosity , physics , mathematics , mathematical analysis , composite material , quantum mechanics
In this study, the flow as well as heat transfer of a classical Newtonian fluid of constant density and viscosity in a porous medium between two radially stretching disks is explored. The role of the porosity of the medium, the stretching of the disks, the viscous dissipation, and radiation on the flow and temperature fields is taken into account. The flow and heat equations are transformed into non-linear ODE by invoking the classical similarity transformations. These non-linear differential equations were linearized using Quasi linearization method. Further the linearized equations were discretized by employing the finite differences which were then solved numerically using the successive over relaxation parameter method. Some features of the flow and temperature are discussed in detail in the form of tables and graphs. The present study may be beneficial in lubricants and computational storage devices as well as fluid-flows and heat transmission in rotor-stator systems.