We present a computational investigation of thin viscoelastic films and drops on a solid substrate subject to the van der Waals interaction force, in two spatial dimensions. The governing equations are obtained within a long-wave approximation of the Navier–Stokes equations with Jeffreys model for viscoelastic stresses. We investigate the effects of viscoelasticity, Newtonian viscosity, and the...

The small-amplitude radial oscillations of a gas microbubble encapsulated by a viscoelastic solid shell and surrounded by a slightly compressible viscoelastic liquid are studied theoretically. The Kelvin–Voigt and 4-constant Oldroyd models are used to describe the viscoelastic properties of the shell and liquid, respectively. The equation for radial oscillation is derived using the method of ma...

A Theoretical analysis is carried out to study the boundary-layer flow over a continuously moving surface through an otherwise quiescent micropolar fluid. The transformed boundary-layer equations are solved numerically for a power-law surface velocity using the Keller-box method. The effects of the micropolar K and exponent m parameters on the velocity and microrotation field as well as on the ...

The unsteady free convection boundary layer flow of a thermo-micropolar fluid along a vertical plate has been investigated in this paper. The temperature of the plate is assumed to be oscillating about a mean temperature, w(x), with small amplitude . The governing boundary layer equations are analyzed using straight forward finite difference method. The effects of the material parameters such...

The present investigation analysis a problem of r­­­eflection and transmission at an interface of two micropolar orthotropic piezothermoelastic media. The basic equations and constitutive relations for micropolar orthotropic piezothermoelastic media for G-L theory are derived. The expressions for amplitude ratios corresponding to reflected and transmitted waves are derived analytically. The eff...

Rheology is science which treats the deformation and flow of materials. The science of rheology is applied to the physics, chemistry, engineering, medicine, dentistry, pharmacy, biology and so on. Classical theory of elasticity treats the elastic solid which is accordant to Hooke’s law [1]. The stress is directly proportional to strain in deformations and is not dependent of the rate of strain....

Based on the characteristics of solid magnetic abrasive and abrasive flow finishing, a new technology of viscoelastic magnetic abrasive finishing is presented. The theoretical micro model of viscoelastic magnetic abrasive tools is established, and influencing factors of a positive pressure are determined by force analysis. Finishing mechanism of micro-grinding, slipping, rolling and so on is an...

The effect of uniform distribution of internal heat generation on the linear stability analysis of the Benard-Marangoni convection in an Eringen’s micropolar fluids with feedback control is investigated theoretically. The upper free surface is assumed to be non-deformable and the lower boundary is taken to be rigid and isothermal with fixed temperature and spanvanishing boundaries. The eigenval...

In this paper, we carry out a study of peristaltic motion of an incompressible micropolar fluid in an asymmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength case. Exact analytic solutions have been established for the axial velocity, microrotation component and stream function. Expression for the shear stresses are also obtained. The effects of pert...