Premium
A Legendre‐spectral element method for flow and heat transfer about an accelerating droplet
Author(s) -
Oh Seyoung,
Nguyen Hoa D.,
Paik Seungho
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000515)33:1<59::aid-fld1>3.0.co;2-m
Subject(s) - legendre polynomials , heat transfer , mechanics , flow (mathematics) , spectral element method , legendre wavelet , finite element method , mathematics , computational fluid dynamics , physics , mathematical analysis , computer science , thermodynamics , mixed finite element method , discrete wavelet transform , wavelet transform , artificial intelligence , wavelet
The problem of flow and heat transfer associated with a spherical droplet accelerated from rest under gravitational force is studied using a Legendre‐spectral element method in conjunction with a mixed time integration procedure to advance the solution in time. An influence matrix technique that exploits the superposition principle is adapted to resolve the lack of vorticity boundary conditions and to decouple the equations from the interfacial couplings. The computed flow and temperature fields, the drag coefficient, the Nusselt number, and the interfacial velocity and vorticity are presented for a drop moving vertically in a quiescent gas of infinite extent to illustrate the evolution of the flow and temperature fields. Comparison of the predicted drag coefficient and the Nusselt number against previous numerical and experimental results indicate good agreement. Copyright © 2000 John Wiley & Sons, Ltd.