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On dual solutions occurring in mixed convection in a porous medium

✍ Scribed by J. H. Merkin

Publisher
Springer
Year
1986
Tongue
English
Weight
373 KB
Volume
20
Category
Article
ISSN
0022-0833

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✦ Synopsis

The dual solutions to an equation, which arose previously in mixed convection in a porous medium, occurring for the parameter a in the range 0 < a < a 0 are considered. It is shown that the lower branch of solutions terminates at a = 0 with an essential singularity. It is also shown that both branches of solutions bifurcate out of the single solution at a= a o with an amplitude proportional to (a o -a) 1/2. Then, by considering a simple time-dependent problem, it is shown that the upper branch of solutions is stable and the lower branch unstable, with the change in temporal stability at a = a o being equivalent to the bifurcation at that point.

πŸ“œ SIMILAR VOLUMES

MHD mixed convection from a vertical cyl
MHD mixed convection from a vertical cylinder embedded in a porous medium
✍ T.K. Aldoss πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 322 KB

MHD mixed convection flow about a vertical cylinder embedded in a porous medium is considered using non-Darcian mode]. Variable heat transfer boundary condition is incorporated. A transformation that enable solving for the entire mixed convection regime is introduced. Results are obtained using a fi