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Diffuse-interface immersed-boundary framework for conjugate-heat-transfer problems
Mukesh Kumar1, Ganesh Natarajan1
1Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Assam 781039, India.
Physical Review. E
|June 20, 2019
Summary
A new immersed-boundary (IB) solver simplifies conjugate heat transfer (CHT) simulations. This unified approach accurately models heat transfer in both fluid and solid domains for Boussinesq flows.
Area of Science:
- Computational Fluid Dynamics
- Heat Transfer
- Numerical Methods
Background:
- Conjugate heat transfer (CHT) problems require complex modeling of fluid-solid interactions.
- Existing methods often involve intricate boundary conditions or separate solvers for fluid and solid domains.
- A unified approach can simplify the simulation process and improve efficiency.
Purpose of the Study:
- To present a monolithic solver for CHT problems using a diffuse-interface immersed-boundary (IB) approach.
- To develop a unified framework that seamlessly handles both fluid and solid domains.
- To validate the solver's accuracy and efficiency for various CHT scenarios.
Main Methods:
- Developed a diffuse-interface immersed-boundary (IB) strategy with a "virtual" fluid in solid regions.
- Formulated unified momentum and energy equations using solid volume fraction.
- Employed a hybrid finite-volume (FV) framework for solving incompressible flows.
- Implemented a second-order accurate IB-FV solver for CHT simulations.
Main Results:
- The unified momentum equation correctly reduces to Navier-Stokes and no-slip conditions.
- The unified energy equation accurately represents convective-diffusive and diffusive behaviors.
- The solver demonstrated speed, simplicity, and accuracy in simulations.
- Performance was validated across natural and forced convective regimes for Boussinesq flows.
Conclusions:
- The monolithic IB-CHT solver offers a robust and efficient framework for CHT simulations.
- The diffuse-interface IB approach effectively unifies fluid and solid domain modeling.
- The solver is suitable for various CHT problems, particularly those involving Boussinesq flows.
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