Premium
The study of fluid flow and heat transfer of a viscous incompressible fluid between a rotating solid disk and a stationary permeable disk using the Brinkman‐Darcy model
Author(s) -
Jogie Dayle C.,
Bhatt Balswaroop
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400089
Subject(s) - prandtl number , streamlines, streaklines, and pathlines , mechanics , darcy number , reynolds number , brinkman number , fluid dynamics , heat transfer , compressibility , momentum (technical analysis) , flow (mathematics) , physics , classical mechanics , mathematics , thermodynamics , nusselt number , turbulence , finance , economics
The study of momentum and heat transfer has been carried out for the case of a viscous incompressible fluid between a rotating solid and a stationary permeable disk, whose depth is equal to that of the free fluid. Navier‐Stokes equations govern the flow in the free fluid, while the flow in the porous region is governed by a combination of Brinkman and Darcy equations, respectively. Energy equations in the free fluid region and the porous region have been considered. A two step numerical process is employed; series expansions are first created to give analytical approximations of momentum and energy equations in MAPLE, while a Runge‐Kutta algorithm bvp4c is then employed in MATLAB to numerically evaluate the velocity and temperature distributions in the flow fields. Velocity profiles, temperature profiles and relevant streamlines are sketched for various models involving variations in parameters such as Reynolds number, Brinkman number, and Prandtl number. It is observed that various parameters have differing effects on associated profiles which are subsequently discussed in the paper.