TY - JOUR
T1 - Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme
AU - Sivakumar , R.
AU - Vimala , S.
AU - Damodaran , S.
AU - Sekhar , T. V. S.
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 449
EP - 463
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m600
UR - https://global-sci.org/intro/article_detail/aamm/12097.html
KW - Higher Order Compact Scheme, forced convection, magnetic field, low $R_m$ approximation.
AB - <p style="text-align: justify;">The control of convective heat transfer from a heated circular cylinder immersed
in an electrically conducting fluid is achieved using an externally imposed
magnetic field. A Higher Order Compact Scheme (HOCS) is used to solve the governing
energy equation in cylindrical polar coordinates. The HOCS gives fourth order
accurate results for the temperature field. The behavior of local Nusselt number, mean
Nusselt number and temperature field due to variation in the aligned magnetic field is
evaluated for the parameters 5≤$Re$≤40, 0≤$N$≤20 and 0.065≤$Pr$≤7. It is found that
the convective heat transfer is suppressed by increasing the strength of the imposed
magnetic field until a critical value of $N$, the interaction parameter, beyond which the
heat transfer increases with further increase in $N$. The results are found to be in good
agreement with recent experimental studies.</p>