WELL-POSEDNESS OF THE INFINITE PRANDTL NUMBER MODEL FOR CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY

We establish the well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity, free-slip boundary condition and zero horizontal fluxes.

Download Full-text

Couette flow through a porous medium of a high prandtl number fluid with temperature-dependent viscosity

International Journal of Energy Research ◽

10.1002/er.4440140104 ◽

1990 ◽

Vol 14 (1) ◽

pp. 21-26 ◽

Cited By ~ 6

Author(s):

J. Daskalakis

Keyword(s):

Porous Medium ◽

Prandtl Number ◽

Couette Flow ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

High Prandtl Number ◽

Flow Through ◽

Dependent Viscosity

Download Full-text

On the global well-posedness for the compressible Navier–Stokes equations with slip boundary condition

Journal of Differential Equations ◽

10.1016/j.jde.2015.12.018 ◽

2016 ◽

Vol 260 (7) ◽

pp. 5761-5795 ◽

Cited By ~ 8

Author(s):

Yoshihiro Shibata ◽

Miho Murata

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Slip Boundary

Download Full-text

Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.05.006 ◽

2018 ◽

Vol 44 ◽

pp. 260-282 ◽

Cited By ~ 2

Author(s):

Xiaoping Zhai ◽

Zhi-Min Chen

Keyword(s):

Boussinesq System ◽

Well Posedness ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Dependent Viscosity

Download Full-text

Viscous heating of high Prandtl number fluids with temperature-dependent viscosity

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(86)90149-3 ◽

1986 ◽

Vol 29 (8) ◽

pp. 1177-1183 ◽

Cited By ~ 10

Author(s):

E.R.G. Eckert ◽

M. Faghri

Keyword(s):

Prandtl Number ◽

Viscous Heating ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

High Prandtl Number ◽

Dependent Viscosity

Download Full-text

Heat transfer analysis for Falkner–Skan boundary layer nanofluid flow past a wedge with convective boundary condition considering temperature-dependent viscosity

Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanoengineering and Nanosystems ◽

10.1177/1740349912459131 ◽

2012 ◽

Vol 227 (1) ◽

pp. 19-27 ◽

Cited By ~ 1

Author(s):

Waqar A Khan ◽

Mohammed AA Hamad ◽

Mohammed Ferdows

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Boundary Condition ◽

Convective Boundary Condition ◽

Heat Transfer Analysis ◽

Temperature Dependent ◽

Nanofluid Flow ◽

Temperature Dependent Viscosity ◽

Convective Boundary ◽

Dependent Viscosity

Download Full-text

Three-Dimensional Infinite Prandtl Number Convection in a Spherical Shell with Temperature-Dependent Viscosity.

Journal of geomagnetism and geoelectricity ◽

10.5636/jgg.48.1499 ◽

1996 ◽

Vol 48 (12) ◽

pp. 1499-1514 ◽

Cited By ~ 16

Author(s):

Yasuyuki Iwase

Keyword(s):

Prandtl Number ◽

Spherical Shell ◽

Three Dimensional ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Dependent Viscosity

Download Full-text

High rayleigh number convection at infinite prandtl number with weakly temperature-dependent viscosity

Geophysical & Astrophysical Fluid Dynamics ◽

10.1080/03091929608213643 ◽

1996 ◽

Vol 83 (1-2) ◽

pp. 79-117 ◽

Cited By ~ 8

Author(s):

S. Balachandar ◽

D. A. Yuen ◽

D. M. Reuteler

Keyword(s):

Rayleigh Number ◽

Prandtl Number ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Dependent Viscosity

Download Full-text

Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity

Advances in Mathematics ◽

10.1016/j.aim.2011.05.008 ◽

2011 ◽

Vol 228 (1) ◽

pp. 43-62 ◽

Cited By ~ 43

Author(s):

Chao Wang ◽

Zhifei Zhang

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

Well Posedness ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Dependent Viscosity

Download Full-text

Impacts of temperature-dependent viscosity and variable Prandtl number on forced convective Falkner–Skan flow of Williamson nanofluid

SN Applied Sciences ◽

10.1007/s42452-020-2216-3 ◽

2020 ◽

Vol 2 (3) ◽

Cited By ~ 3

Author(s):

H. Thameem Basha ◽

R. Sivaraj ◽

A. Subramanyam Reddy ◽

Ali J. Chamkha ◽

M. Tilioua

Keyword(s):

Prandtl Number ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Variable Prandtl Number ◽

Dependent Viscosity

Download Full-text

Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation

Journal of Differential Equations ◽

10.1016/j.jde.2019.01.011 ◽

2019 ◽

Vol 267 (1) ◽

pp. 364-387 ◽

Cited By ~ 4

Author(s):

Xiaoping Zhai ◽

Bo-Qing Dong ◽

Zhi-Min Chen

Keyword(s):

Boussinesq System ◽

Well Posedness ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Supercritical Dissipation ◽

Dependent Viscosity

Download Full-text