With the presence of a uniform vertical magnetic field and suspended particles, thermocapillary instability in a horizontal liquid layer is investigated. The resulting eigenvalue is solved by the Galerkin technique for various basic temperature gradients. It is found that the presence of magnetic field always has a stability effect of increasing the critical Marangoni number. Keywords—Marangoni...

This article looks at the steady flow of Micropolar fluid over a stretching surface with heat transfer in the presence of Newtonian heating. The relevant partial differential equations have been reduced to ordinary differential equations. The reduced ordinary differential equation system has been numerically solved by Runge-Kutta-Fehlberg fourth-fifth order method. Influence of different involv...

An analysis is carried out for axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder with finite radius. The coupled nonlinear partial differential equations of the problem are simplified with the help of similarity transformations and the resulting coupled nonlinear differential equations are solved analytically by homotopy analysis method HAM . The features of the flow p...

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term...

Abstract: This paper deals with the linear theory of isotropic micropolar thermoviscoelastic materials. When the dissipation is positive definite, we present two uniqueness theorems. The first one requieres the extra assumption that some coupling terms vanish; in this case, the instability of solutions is also proved. When the internal energy and the dissipation are both positive definite, we p...

Micropolar continua are shown to be the generalisation of nematic liquid crystals through perspectives order parameters, topological and geometrical considerations. recognised as antipodals $S^3$ $S^2$ in projective geometry. We show that position-dependent rotational axial fields kinematic micropolar can considered solutions anisotropic Higgs fields, characterised by integers N. emphasise iden...

In this paper, a comprehensive study of hydromagnetic (MHD) axisymmetric stagnation point flow and heat transfer characteristics of an electrically conducting viscous incompressible micropolar fluid towards a shrinking sheet with radiation effects is investigated under the action of a transverse magnetic field. The governing partial differential equations (PDEs) are reduced to non linear ordina...

Two conservation laws of nonlinear micropolar elasticity (Jk = 0 and Lk = 0) are derived within the framework of Noether’s theorem on invariant variational principles, thereby extending the earlier authors’ results from the couple stress elasticity. Two non-conserved M -type integrals of linear micropolar elasticity are then derived and their values discussed. The comparison with related work i...

s: A comprehensive study of MHD two-dimensional boundary layer stagnation point flow with radiation and heat generation characteristics towards a heated shrinking sheet immersed in an electrically conducting incompressible micropolar fluid in the presence of a transverse magnetic field is analyzed numerically. The governing continuity, momentum, angular momentum and heat equations together with...