Kiran Kumar Patra, Satyananda Panda, Mathieu Sellier
Abstract:
This article presents a long-wave theory for the free surface dynamics
of magnetohydrodynamics (MHD) second-grade fluid over a non-uniform heated
flat elastic sheet. An evolution equation for the film thickness is derived
from the instationary Navier-Stokes equations using regular asymptotic
expansion with respect to the small aspect ratio of the flow domain.
The derived thin film equation is solved numerically using finite volume
method on a uniform grid system with implicit flux discretization.
The finding reveals the dependency of the thinning behavior of the fluid
film on the stretching speed and the non-Newtonian second-grade parameter.
Published November 15, 2017.
Math Subject Classifications: 76A05, 76A10, 76A20, 76M12, 80A20.
Key Words: Thin liquid film; heat transfer; second-grade fluid;
free surface flow; magnetic field; long-wave theory.
Show me the PDF file (297 K), TEX file for this article.
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Kiran Kumar Patra Department of Mathematics National Institute of Technology Calicut NIT(P.O)-673601, Kerala, India email: kirankumarpatra1984@gmail.com |
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Satyananda Panda Department of Mathematics National Institute of Technology Calicut NIT(P.O)-673601, Kerala, India email: satyanand@nitc.ac.in |
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Mathieu Sellier Department of Mechanical Engineering University of Canterbury, Private Bag 4800 Christchurch 8140, New Zealand email: mathieu.sellier@canterbury.ac.nz |
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