Gravity Effect on The Dual-Phase-Lag Model for Plane Waves of a Fiber-Reinforced Micropolar Thermoelastic Medium in Contact with Newtonian Inviscid Fluid

Authors

Kh. Lotfy, Department of mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptFollow
M. E. Gabr, Department of mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this article, we study the general equations of the dual-phase-lag (DPL) model and Lord-Shulman(LS) theory with one relaxation time considering the influence of micro-polar fiber-reinforced on the totally reformed 2D-half-space with gravity. The obtained non-dimensional coupled field equations for the DPL are solved using the harmonic wave analysis technique.Also, the exact expressions for some physical fields and tangential couple stress are obtained under the effect of mechanical forces along the interface of the fluid half space and the fiber-reinforced micro-polar thermoelastic half space. The effect of micro-polarity on the displacement component, force stress, temperature distribution and tangential couple stress, in presence and absence of the gravity field effect, has been depicted graphically.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100311

Recommended Citation

Lotfy, Kh. and E. Gabr, M. (2018) "Gravity Effect on The Dual-Phase-Lag Model for Plane Waves of a Fiber-Reinforced Micropolar Thermoelastic Medium in Contact with Newtonian Inviscid Fluid," Applied Mathematics & Information Sciences: Vol. 12: Iss. 2, Article 11.
DOI: http://dx.doi.org/10.18576/journal/100311
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss2/11