Showing papers on "Shell balance published in 2016"

Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid

Abstract: In this paper, effects of variable viscosity with heat transfer on solid particle motion of dusty Jeffrey fluid model through a planar channel has been examined. The governing flow problem for fluid phase and dusty phase is formulated with the help of momentum and energy equation. The resulting coupled ordinary differential equations have been solved analytically and closed form solutions are presented. The influence of all the physical parameters are sketched for velocity profile, pressure rise and temperature profile. Numerical computation is used to evaluate the expression for pressure rise. The present analysis is also presented for Newtonian fluid by taking λ1 → 0 as a special case of our study. It is found that due to the influence of variable viscosity, the fluid velocity changes in the center of the channel and shows opposite behavior near the walls. It is also found that temperature profile increases for larger values of Prandtl number (Pr) and Eckert number (Ec).

Dynamics and stability of a functionally graded cylindrical thin shell containing swirling annular fluid flow including initial axial loads

Abstract: Considering initial axial loads, dynamics and stability of an inner functionally graded cylindrical shell conveying swirling fluid (i.e., water) in the annulus between the flexible inner shell and the identical rigid outer shell are investigated by the traveling wave approach. Shell motions are described by Donnell’s thin shell equations. The fluid forces associated with shell motions are treated in the frame of the potential flow theory. The theoretical analysis is conducted by the zero-level contour method. The critical velocities of losing stability are determined. The influences of angular flow on the critical axial velocity and axial flow on the critical annular velocity are studied. Moreover, effects of the magnitude and the direction of initial axial loads on the critical velocities are fully discussed.

Dynamics and stability of a cylindrical shell subjected to annular flow including temperature effects

Abstract: Considering thermal loads, dynamics and stability of an outer cylindrical shell conveying swirling fluid in the annulus between the inner shell-type body and the outer shell are investigated by the travelling wave approach. Shell motions are considered based on Donnell-type shell theory. The fluid forces are described by means of the potential flow theory, and thermal loads are determined by the thermo-elastic theory. The numerical analyses are conducted by a zero-level contour method. The study shows the effects of annular gaps and boundary conditions on stability of shells. The influences of angular flow on the critical axial velocity and axial flow on the critical annular velocity are discussed. Moreover, the thermal loads decrease the critical flow velocity markedly and the critical temperature rise is found.

• flow of a non-newtonian fluid sandwiched between two newtonian fluids

Abstract: L aminar flow of a couple-stress fluid in contact with a Newtonian fluid in a channel bounded by permeable beds has been studied. The flow in the permeable beds is governed by Darcy’s law. The expressions for the velocity and temperature fields are obtained. The effects of flow parameters on the velocity and temperature are discussed in detail through graphs. It is observed that the velocity and temperature are increases with increasing Darcy number and Couple stress parameter.