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In practice, due to bearing load there is a generation of pressure in the lubricant film, which leads elastic deformation on the bounding surfaces and causes variation in the film thickness. As film thickness plays an important role in performance of the slider‐bearing designs; an attempt has been made to study numerical simulation of elastic deformation effect in one‐dimensional inclined slider‐bearing...
The exact solutions of the plane problems of poroelasticity for a rectangle and a semi‐strip are derived in the article. The original problems are reduced to one‐dimensional problems with the help of finite and semi‐infinite Fourier transforms for a rectangle and a semi‐strip, respectively. The one‐dimensional boundary value problems are formulated in vector form, and the apparatus of matrix differential...
In this paper we investigate the mixed convection flow of a Williamson fluid under the effects of temperature dependent thermal conductivity and chemical reaction. The mathematical model for this phenomenon is described in a set of partial differential equations (PDEs) and further this set is reduced to a dimensionless system of nonlinear partial differential equations (PDEs) using a non‐similarity...
Paper is devoted to the effective stationary heat conductivity for the fibre composite materials. We are aimed on getting on analytical expression for effective thermal conductivity coefficient. Asymptotic homogenization approach, based on the multiple scale perturbation method, is used. This allows to reduce the original boundary value problem in multiply connected domain to the sequence of boundary...
With the rapid evolution of small‐scale devices, the effect of size dependence on elastic deformation becomes more and more obvious. Furthermore, the physical processes usually involve memory and inheritance for some anomalous diffusion that the constitutive relation does not obey the standard gradient rate. Owing to capturing the memory‐dependent effect and the size‐dependent effect, the existing...
The mixed Marangoni assisting/resisting flow of a nanofluid with thermal radiative heat flux is analyzed when thermal and solutal buoyant forces are significant. The heat and mass transfer rates are simultaneously optimized by utilizing the Response Surface Methodology (RSM). The face‐centered Central Composite Design (fc‐CCD) is used for the numerical experimental design involved in RSM. The sensitivities...
The temperature distribution in a longitudinal fin with magnetic field due to conductive‐convective‐radiative heat transfer is debriefed in this research article. Thermal properties of the fin material, such as thermal conductivity and heat transfer coefficient, have been considered to vary non‐linearly with local temperature whereas surface emissivity has been taken to be constant. The main governing...
In this paper, based on the extended Melnikov method the homoclinic analysis for chaotic vibration of a double layered viscoelastic nanoplates (DLNPs) embedded in Winkler–Pasternak elastic foundation and under in‐plane excited biaxial loads using the Eringen's nonlocal elasticity theory has been investigated. The governing nonlinear coupled partial differential equations (PDEs) of motion for DLNP...
In a small boundary layer of the fluid interface, the temperature distribution deviates from being linear with the spatial coordinate and exhibits an exponential form. Hence, the Marangoni convective flow of a nanoliquid driven by an exponential interfacial temperature distribution is modeled in this study. Due to practical applicability, the working fluid is chosen to be ethylene glycol‐based magnesium...
The proposed mathematical analysis intends to investigate the behavior of gyrotactic microorganisms to depict their significance in heat and mass transfer in unsteady magnetohydrodynamics (MHD) radiative Eyring–Powell nanofluid passing through a static/moving wedge. The Roseland nonlinear approximation was devised to incorporate solar radiation features into the energy equation, while the concept...
Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a whole. We use a general thermodynamic framework that determines the response of the material from the knowledge of two pieces of information, namely how the material...
The consequences of polymer presences on magneto‐hydrodynamic flow and heat transfer of a viscous fluid induced by a magnetized permeable heated stretching surface are studied in this article. The Lorentz force and Joule heating are also taken into consideration. The Oldroyd‐B model of polymers is used to study polymer presence which adds an extra stress in the mathematical model due to the polymer...
This paper establishes a defect model of thermoelectric materials that the oblique multi‐field loads are applied along an arbitrary direction with the crack initiated from a circular hole, and gives both analytical solutions and finite element method (FEM) simulation. On the one hand, in virtue of the conformal mapping function and the Cauchy integral formula, the analytical solutions of electric...
Present research focuses on nonsimilar analysis of the flow of a non‐Newtonian Carreau nanofluid against different geometrical configurations affected by thermal radiations. The flow is induced by stretchable surface with the implementation of zero‐net mass‐flux conditions on the surface. This considered model is commonly known as Kuznetsov and Nield's proposed updated model for nanoparticles. The...
In this paper, we investigate a variational polycrystalline model in finite crystal plasticity with one active slip system and rigid elasticity. The task is to determine inner and outer bounds on the domain of the constrained macroscopic elastoplastic energy density, or equivalently, the affine boundary values of a related inhomogeneous differential inclusion problem. A geometry‐independent Taylor...
Many applications of porous media research involves high pressures and, correspondingly, exchange of thermal energy between the fluid and the matrix. While the system is relatively well understood for the case of nonmoving porous media, the situation when the elastic matrix can move and deform, is much more complex. In this paper, we derive the equations of motion for the dynamics of deformable porous...
The present study is about the impact of the fluid motions of the micropolar fluids internally and externally of the fluid sphere with an interfacial slip condition using the analytic method. This enables to bring out solutions for the flow fields as indicated by the stream functions and the drag of the sphere. The work explores the possibilities of change in the slip and drag conditions and their...
In 1890, Hess found new special case of integrability of Euler–Poisson equations of motion of a heavy rigid body with a fixed point. In 1892, Nekrasov proved that the solution of the problem of motion of a heavy rigid body with a fixed point under Hess conditions reduces to integrating the second‐order linear differential equation. In this paper, the corresponding linear differential equation is derived...
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