RT Journal Article
ID 139ba5ab2799e0e0
A1 Singh, Sanjeeva Kumar
A1 Verma, Vineet Kumar
T1 FLOW IN A COMPOSITE POROUS CYLINDRICAL CHANNEL COVERED WITH A POROUS LAYER OF VARIABLE PERMEABILITY
JF Special Topics & Reviews in Porous Media: An International Journal
JO STRPM
YR 2019
FD 2019-06-27
VO 10
IS 3
SP 291
OP 303
K1 heterogeneous porous medium
K1 Brinkman equation
K1 modified Bessel function
AB In the present article we have considered the steady flow of viscous, incompressible fluid in a composite cylindrical
channel. The inner and outer parts of the cylindrical channel is of different permeability. The porous channel consists
of two parts. The inner porous cylinder is of uniform permeability k0 which is covered by an outer porous layer of variable permeability. We have considered two cases of permeability variation of the outer porous cylinder: (i) linear variation, k = k0r and (ii) quadratic variation, k = k0r2. An analytical solution of the problem is obtained by using the Brinkman equation. Exact expressions for the velocity, rate of volume flow, average velocity, and shear stress on the impermeable boundary are obtained and exhibited graphically. The effect of permeability variation parameter and
the gap parameter on the flow characteristics has been discussed. It is found that these parameters have a very strong
effect on the flow.
PB Begell House
LK https://www.dl.begellhouse.com/journals/3d21681c18f5b5e7,59417f714771369d,139ba5ab2799e0e0.html