TY - GEN
T1 - An immersed boundary method to solve flow and heat transfer problems involving a moving object
AU - Chern, Ming Jyh
AU - Noor, Dedy Zulhidayat
AU - Horng, Tzyy Leng
N1 - Publisher Copyright:
© 2012, Begell House Inc. All rights reserved.
PY - 2012
Y1 - 2012
N2 - A direct-forcing immerse boundary method with both virtual force and heat source is developed here to solve Navier-Stokes and the associated energy transport equations to study some thermal flow problems caused by a moving rigid solid object within. The key point of this novel numerical method is that the solid object, stationary or moving, is first treated as fluid governed by Navier-Stokes equations for velocity and pressure, and by energy transport equation for temperature in every time step. An additional virtual force term is then introduced on the right hand side of momentum equations in the solid object region to make it act exactly as if it were a solid rigid body immersed in the fluid. Likewise, an additional virtual heat source term is applied to the right hand side of energy equation at the solid object region to maintain the solid object at the prescribed temperature all the time. The current method was validated by some benchmark forced and natural convection problems such as a uniform flow past a heated circular cylinder, and a heated circular cylinder inside a square enclosure. We further demonstrated this method by studying a mixed convection problem involving a heated circular cylinder moving inside a square enclosure. Our current method avoids the otherwise requested dynamic grid generation in traditional method and shows great efficiency in the computation of thermal and flow fields caused by fluid-structure interaction.
AB - A direct-forcing immerse boundary method with both virtual force and heat source is developed here to solve Navier-Stokes and the associated energy transport equations to study some thermal flow problems caused by a moving rigid solid object within. The key point of this novel numerical method is that the solid object, stationary or moving, is first treated as fluid governed by Navier-Stokes equations for velocity and pressure, and by energy transport equation for temperature in every time step. An additional virtual force term is then introduced on the right hand side of momentum equations in the solid object region to make it act exactly as if it were a solid rigid body immersed in the fluid. Likewise, an additional virtual heat source term is applied to the right hand side of energy equation at the solid object region to maintain the solid object at the prescribed temperature all the time. The current method was validated by some benchmark forced and natural convection problems such as a uniform flow past a heated circular cylinder, and a heated circular cylinder inside a square enclosure. We further demonstrated this method by studying a mixed convection problem involving a heated circular cylinder moving inside a square enclosure. Our current method avoids the otherwise requested dynamic grid generation in traditional method and shows great efficiency in the computation of thermal and flow fields caused by fluid-structure interaction.
UR - http://www.scopus.com/inward/record.url?scp=85066247041&partnerID=8YFLogxK
U2 - 10.1615/ICHMT.2012.CHT-12.240
DO - 10.1615/ICHMT.2012.CHT-12.240
M3 - Conference contribution
AN - SCOPUS:85066247041
SN - 9781567003031
T3 - International Symposium on Advances in Computational Heat Transfer
SP - 379
EP - 397
BT - Proceedings of CHT-12. ICHMT International Symposium on Advances in Computational Heat Transfer, 2012
PB - Begell House Inc.
T2 - International Symposium on Advances in Computational Heat Transfer, CHT 2012
Y2 - 1 July 2012 through 6 July 2012
ER -