TY - GEN
T1 - Hydrodynamic instability with convective heat transfer through a curved channel with strong rotational speed
AU - Hasan, Mohammad Sanjeed
AU - Mondal, Rabindra Nath
AU - Kouchi, Toshinori
AU - Yanase, Shinichiro
PY - 2019/7/18
Y1 - 2019/7/18
N2 - In this paper, a comprehensive numerical study on viscous incompressible fluid flow and heat transfer through a loosely coiled square duct has been presented. Spectral method is used as a basic tool to solve the system of non-linear partial differential equations. Numerical calculations are carried out for the Dean number Dn = 1000 with a temperature difference across the vertical sidewalls for the Grashof number Gr = 100, where the outer wall is heated and the inner wall cooled. A rotation of the duct about the center of curvature is imposed in the positive direction for the Taylor number 0≤Tr≤2000 and combined effects of the centrifugal, Coriolis and buoyancy forces are investigated. First, steady solutions are obtained by the Newton-Raphson iteration method. As a result, three branches of asymmetric steady solutions with two-to four-vortex solutions are obtained. Then, time evolution calculations as well as power spectrum density of the unsteady solutions are obtained and it is found that the unsteady flow undergoes through various flow instabilities, if Tr is increased in the positive direction. Nusselt numbers are calculated as an index of convective heat transfer, and it is found that convective heat transfer is significantly enhanced by the secondary flow. Finally, a comparison between the numerical and experimental investigations has been provided. It is found that there is a good agreement between the numerical and experimental investigations.
AB - In this paper, a comprehensive numerical study on viscous incompressible fluid flow and heat transfer through a loosely coiled square duct has been presented. Spectral method is used as a basic tool to solve the system of non-linear partial differential equations. Numerical calculations are carried out for the Dean number Dn = 1000 with a temperature difference across the vertical sidewalls for the Grashof number Gr = 100, where the outer wall is heated and the inner wall cooled. A rotation of the duct about the center of curvature is imposed in the positive direction for the Taylor number 0≤Tr≤2000 and combined effects of the centrifugal, Coriolis and buoyancy forces are investigated. First, steady solutions are obtained by the Newton-Raphson iteration method. As a result, three branches of asymmetric steady solutions with two-to four-vortex solutions are obtained. Then, time evolution calculations as well as power spectrum density of the unsteady solutions are obtained and it is found that the unsteady flow undergoes through various flow instabilities, if Tr is increased in the positive direction. Nusselt numbers are calculated as an index of convective heat transfer, and it is found that convective heat transfer is significantly enhanced by the secondary flow. Finally, a comparison between the numerical and experimental investigations has been provided. It is found that there is a good agreement between the numerical and experimental investigations.
UR - http://www.scopus.com/inward/record.url?scp=85069785586&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85069785586&partnerID=8YFLogxK
U2 - 10.1063/1.5115851
DO - 10.1063/1.5115851
M3 - Conference contribution
AN - SCOPUS:85069785586
T3 - AIP Conference Proceedings
BT - 8th BSME International Conference on Thermal Engineering
A2 - Sadrul Islam, A.K.M.
A2 - Ruhul Amin, M.
A2 - Ali, Mohammad
PB - American Institute of Physics Inc.
T2 - 8th Bangladesh Society of Mechanical Engineers International Conference on Thermal Engineering, BSME ICTE 2018
Y2 - 19 December 2018 through 21 December 2018
ER -