Volume 6, Issue 6
Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions

M. Dilmi, H. Benseridi & A. Saadallah

Adv. Appl. Math. Mech., 6 (2014), pp. 797-810

Published online: 2014-06

Preview Full PDF 21 570
Export citation
  • Abstract

In this paper we prove first the existence and uniqueness results for the weak solution, to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition; then we study the asymptotic analysis when one dimension of the fluid domain tend to zero. The strong convergence of the velocity is proved, a specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.

  • Keywords

Free boundary problems Bingham fluid asymptotic approach Tresca law Reynolds equation

  • AMS Subject Headings

35R35 76F10 78M35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

  • BibTex
  • RIS
  • TXT
@Article{AAMM-6-797, author = {M. Dilmi, H. Benseridi and A. Saadallah}, title = {Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {6}, pages = {797--810}, abstract = {In this paper we prove first the existence and uniqueness results for the weak solution, to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition; then we study the asymptotic analysis when one dimension of the fluid domain tend to zero. The strong convergence of the velocity is proved, a specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m350}, url = {http://global-sci.org/intro/article_detail/aamm/49.html} }
TY - JOUR T1 - Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions AU - M. Dilmi, H. Benseridi & A. Saadallah JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 797 EP - 810 PY - 2014 DA - 2014/06 SN - 6 DO - http://dor.org/10.4208/aamm.2013.m350 UR - https://global-sci.org/intro/aamm/49.html KW - Free boundary problems KW - Bingham fluid KW - asymptotic approach KW - Tresca law KW - Reynolds equation AB - In this paper we prove first the existence and uniqueness results for the weak solution, to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition; then we study the asymptotic analysis when one dimension of the fluid domain tend to zero. The strong convergence of the velocity is proved, a specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.
M. Dilmi, H. Benseridi & A. Saadallah. (1970). Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions. Advances in Applied Mathematics and Mechanics. 6 (6). 797-810. doi:10.4208/aamm.2013.m350
Copy to clipboard
The citation has been copied to your clipboard