Asymptotic solution for the Darcy-Brinkman- Boussinesq flow in a pipe with helicoidal shape (CROSBI ID 269598)
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Podaci o odgovornosti
Pažanin, Igor
engleski
Asymptotic solution for the Darcy-Brinkman- Boussinesq flow in a pipe with helicoidal shape
We study the fluid flow and heat transfer in a helical pipe filled with a sparsely packed porous medium. Motivated by the engineering applications, pipe’s thickness and the distance between two coils of the helix have the same small order of magnitude, whereas the fluid inside the pipe is assumed to be cooled (or heated) by the exterior medium. After writing the dimensionless Darcy–Brinkman- Boussinesq system in curvilinear coordinates, we employ the multi-scale expansion technique to formally derive the effective model valid for small Brinkman–Darcy number. The obtained asymptotic solution is given in the explicit form which is important with regards to numerical simulations. Comparison with our previous results on the straight-pipe flow is also provided.
helical pipe ; Darcy-Brinkman-Boussinesq system ; Newton cooling condition ; curvilinear coordinates ; asymptotic approximation
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Podaci o izdanju
45 (2)
2018.
189-203
objavljeno
1450-5584
2406-0925
10.2298/TAM180424008P
Povezanost rada
Matematika