Volume 8, Issue 3
Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

Adv. Appl. Math. Mech., 8 (2016), pp. 449-463.

Published online: 2018-05

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• Abstract

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.

• Keywords

Higher Order Compact Scheme, forced convection, magnetic field, low $R_m$ approximation.

• AMS Subject Headings

76D05, 65N06

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COPYRIGHT: © Global Science Press

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@Article{AAMM-8-449, author = {R. and Sivakumar and and 19681 and and R. Sivakumar and S. and Vimala and and 19682 and and S. Vimala and S. and Damodaran and and 19683 and and S. Damodaran and T. V. S. and Sekhar and and 19684 and and T. V. S. Sekhar}, title = {Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {3}, pages = {449--463}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m600}, url = {http://global-sci.org/intro/article_detail/aamm/12097.html} }
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 -

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.

R. Sivakumar, S. Vimala, S. Damodaran & T. V. S. Sekhar. (2020). Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme. Advances in Applied Mathematics and Mechanics. 8 (3). 449-463. doi:10.4208/aamm.2014.m600
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