micropolar material
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2019 ◽  
Vol 23 (6 Part B) ◽  
pp. 3809-3815 ◽  
Author(s):  
Muhammad Waqas ◽  
Muhammad Khan ◽  
Shahid Farooq ◽  
Tasawar Hayat ◽  
Ahmed Al-Saedi

Present research article describes the effectiveness of improved Fourier-Fick fluxes and temperature-dependent conductivity on the 2-D, incompressible steady micropolar material flow over a stretchable surface. Non-linear mixed convection, double stratification and heat generation aspects are considered. The considered flow non-linear PDE are converted to ODE via appropriate transformations. Through implementation of homotopy method the obtain system is solved for series solutions. The effects of pertinent parameters are discussed through graphical sketch. Skin friction coefficient (drag force) is calculated. Main findings are pointed out.


2016 ◽  
Vol 276 ◽  
pp. 468-480 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Ramadan S. Tantawi ◽  
Mohamed I.M. Hilal

2014 ◽  
Vol 92 (6) ◽  
pp. 488-496 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Ya Qin Song

A reflection of a plane harmonic wave at the interface of thermo-microstretch elastic half space is studied. The formulation is applied to generalized thermo-elasticity theories, the Lord–Şhulman and Green–Lindsay theories, as well as the classical dynamical coupled theory. Using potential function, the governing equations reduce to ten differential equations. Coefficient ratios of reflection of different waves with the angle of incidence are obtained using continuous boundary conditions. By numerical calculations, the variation of coefficient ratios of reflection with the angle of incidence is illustrated graphically in magnesium crystal micropolar material under three theories. Also the effect of frequency and rotation on the coefficient ratios of reflection is illustrated graphically in the context of Lord–Shulman theory.


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