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The objective of this work is to study heat and mass transfer in an unsteady MHD free convective flow past an infinite vertical plate with constant suction (injection) and heat source numerically. Dimensionless governing equations of the problem have been solved by using the finite difference technique. Numerical solutions for temperature, velocity, concentration have been obtained for suitable parameters...
The flow of blood through a rigid artery with different degrees of stenosis has been studied. Two different shapes (rectangular and cosine) of stenosis are considered while blood is modeled either as a Newtonian or non-Newtonian fluid. Three different degrees of stenosis, expressed in percentage, are considered representing mild to severe stenoses. The flow separates from the arterial wall at the...
The paper analyses the Rayleigh-Taylor instability of a viscous compressible rotating fluid through a porous medium in a vertical magnetic field. It is shown that the system is characterized by a variational principle and by making use of it, a solution is obtained for a layer having exponential density along the vertical. The dispersion relation has been obtained by employing the normal mode technique...
This paper is concerned with the determination of thermoelastic displacement, stress, and temperature produced in an infinite isotropic elastic body having a cylindrical cavity where the elastic parameters and the thermal conductivity are temperature dependent. The boundary of the cavity is subjected to time dependent thermal and mechanical shocks. The generalized coupled thermoelasticity theories...
In this paper, a model is presented for investigating some hydrodynamic characteristics of blood flow through a large arterial vessel of slightly non-circular cross section. The viscosity of blood is assumed non-uniform due to a distribution of erythrocytes (red cells). The effects of such variation of viscosity on the hydrodynamic flow characteristics, e.g., velocity profiles, volumetric flow rate...
This paper presents an analytical study of a steady boundary layer visco-elastic liquid flow over a non-isothermal stretching sheet embedded in a porous medium in the presence of non-uniform heat generation / absorption. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are considered, viz., (i) the sheet with...
The paper presents a concept of a short engine test SET that can be applied to the engines tested in vehicles without the need of their dismantling and is purposed for the evaluation of heavy duty diesels exhaust toxic compound emission. The worked out SET test could be performed on a simplified chassis dynamometer and provides results similar to those obtained by using the 13-stage ECE R49 stationary...
The problem of electroelasticity for piezoelectric materials is considered. The fundamental solutions for the axi-symmetric problem of piezoelasticity are utilized to solve a smooth contact problem. Exact solutions are obtained for elastic and electric fields in the contact problem. If the contact region is an annular three-part then the mixed boundary value problem is considered. In this case the...
The propagation of axisymmetric free vibrations in a microstretch thermoelastic homogeneous isotropic plate subjected to stress free thermally insulated and isothermal conditions is investigated in the context of the conventional coupled thermoelasticity (CT) and Lord and Shulman (L-S) theories of thermoelasticity. The generalized theory of elasticity developed by Lord and Shulman is employed by assuming...
The electrospinning process is modeled and the bending instability of a slender viscoelastic jet is simulated. This is accomplished by modifying the discrete bead model by Reneker et al. (2000). Specifically, the force due to surface tension is incorporated using the expression suggested by Kowalewski et al. (2005) (see Eq.(7)). The results obtained by the use of this modification seem to be in accord...
The flow of a power-law lubricant in a squeeze film bearing is considered. The bearing is modelled by two curvilinear rough surfaces. The flow in the bearing clearance is considered without inertia. Using the Christensen stochastic model of a surface roughness the closed-form solution is obtained. A step bearing and a spherical bearing are discussed as examples. It is shown that the power-law exponent...
The effect of thermal radiation on heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated Darcian porous medium subjected to a magnetic field is studied taking into account the Soret and Dufour effects. The Rosseland approximation for the radiative heat flux is used in the energy equation. It is found that the similarity solution exists in the...
The paper presents a method of planning a sub-optimal trajectory for a redundant manipulator subject to control constraints. The method is based on using the penalty function approach and scaling the robot dynamic equations to satisfy actuator constraints and allows real time computations. A computer example involving a spatial redundant manipulator of four revolute kinematics pairs is also presented.
This paper is concerned with the problem of two-dimensional wave generation due to an initial disturbance created at the upper surface of two superposed fluid layers in the presence of uniform running streams. The upper fluid of finite height is covered by a thin elastic plate. The lower fluid of finite depth is separated from the upper one by a common interface. Assuming linear theory, the problem...
This paper is devoted to the construction and evaluation of mass and stiffness matrices of elastodynamic four and five node infinite elements with united shape functions (EIEUSF), recently proposed by the author. Such elements can be treated as family elastodynamic infinite elements appropriate for multi-wave soil-structure interaction problems. The common characteristic of the proposed infinite elements...
A hydrodynamic viscous incompressible fluid flow through a porous medium between two porous disks rotating with same angular velocity [...] about two non-coincident axes has been studied. An exact solution of the governing equations has been obtained in a closed form. It is found that the primary velocity [...] increases and the secondary velocity [...] decreases with an increase in either the Reynolds...
This paper investigates the propagation of plane waves as well as their reflection and transmission from the plane interface which separates a viscous liquid half space and a magneto elastic solid semi infinite medium containing a distribution of void pores. From the analysis of the propagation of plane waves in a magneto elastic solid medium with voids, it is found that the longitudinal wave in a...
This paper deals with the theoretical investigation of the effect of suspended particles on a rotating layer of a ferromagnetic fluid heated from below. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. For the case of stationary convection, it is found that suspended particles have a destabilizing effect, whereas...
The paper presents a solution to the control problem of a nonholonomic mobile robot. The task of the robot's motion has been divided into two subtasks: reaching the target position and reaching the target orientation. The controls obtained are continuous, and the time for reaching the final configuration is finite. The results are illustrated with a number of simulations.
An analysis has been carried out to study the non-Darcy flow behavior and heat transfer characteristics of a non-Newtonian power law fluid over a non-isothermal stretching sheet with variable thermal conductivity and internal heat generation/absorption. Thermal conductivity is assumed to vary as a linear function of temperature. The partial differential equations governing the flow and heat transfer...
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