TY - JOUR
ID - 1272
TI - Effects of Rotation and Magnetic Field on Unsteady Couette Flow in a Porous Channel
JO - Journal of Applied Fluid Mechanics
JA - JAFM
LA - en
SN - 1735-3572
AU - Seth, G. S.
AU - Ansari, Md. S.
AU - Nandkeolyar, R.
AD - Department of Applied Mathematics, Indian School of Mines, Dhanbad-826 004, India
AD - School of Petroleum Technology, Pandit Deendayal Petroleum University, Gandhinagar-382 007, India
AD - School of Applied Sciences, KIIT University, Bhubaneswar-751 024, India
Y1 - 2012
PY - 2012
VL - 4
IS - 2
SP - 95
EP - 103
KW - Magnetohydrodynamic Couette flow
KW - Primary and secondary flow
KW - Rotation
KW - Suction/injection
DO - 10.36884/jafm.4.02.11922
N2 - Unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system in the presence of a uniform transverse magnetic field is studied. The plates of the channel are considered porous and fluid flow within the channel is induced due to the impulsive movement of the upper plate of the channel. General solution of the governing equations is obtained which is valid for every value of time t. For small values of time t, the solution of the governing equations is obtained by Laplace transform technique. The expression for the shear stress at the stationary plate due to the primary and secondary flows is obtained in both the cases. It is found that the solution obtained by Laplace transform technique converges more rapidly than the general solution when time t is very small. Magnetic field retards the fluid flow in both the primary and secondary flow directions. Rotation retards primary flow whereas it accelerates secondary flow. There exists incipient flow reversal near the stationary plate on increasing rotation parameter K2. Suction accelerates primary flow whereas it retards secondary flow. Injection retards both the primary and secondary flows.
UR - https://www.jafmonline.net/article_1272.html
L1 - https://www.jafmonline.net/article_1272_b4276bf8f3660f7ddc46e7d9b21e602f.pdf
ER -