Peristaltic Transport of a Herschel-Bulkley Fluid in a Non-Uniform Channel with Wall Effects
669 Abstract—The present study considers the peristaltic transport of a Herschel-Bulkley fluid in a two-dimensional channel of non-uniform cross section with wall properties. Using long wavelength approximation with low Reynolds number and dynamic boundary conditions, analytical expressions have been obtained stream function and time average velocity. The effects of pertinent parameters on these flow variables have been studied in both converging and diverging channel. It is observed that time average velocity increases with rigidity and stiffness in the wall.
ANALYSIS ON THE EFFECTS OF WALL PROPERTIES ON MHD PERISTALTIC FLOW OF A DUSTY FLUID THROUGH A POROUS MEDIUM
In this paper, a MHD peristaltic transport of dusty fluid through a porous medium in a uniform channel with elastic wall properties has been considered. This phenomenon is modeled on a system of partial differential equations governing the motion of the fluid and solid particles. This system of Navier stokes equations is linearized under long wavelength approximation and solved with appropriate boundary conditions using perturbation technique. The analytical solution is obtained for streamline functions and axial velocity profiles for both fluid and dust particles. The effects of membrane tension parameter, mass characterizing parameter, damping parameter, mass concentration of the dust particles, Hartmann number and permeability of the porous medium on streamline pattern of the fluid is studied. It is observed that the trapped bolus size increases with the increase in tension parameter, Hartmann number and permeability of the porous medium, but decreases with increase in damping and mass concentration parameters.
Flow of Herschel–Bulkley fluid through an inclined tube of non-uniform cross-section with multiple stenoses
The steady flow of Herschel–Bulkley fluid through an inclined tube of non-uniform cross-section with multiple stenoses has been investigated. Assuming the stenoses to be mild, the flow equations have been linearised and the expressions for resistance to the flow and wall shear stress have been derived. The effects of various parameters on these flow variables have been studied. It is found that the flow resistance increases with the heights of the stenoses, yield stress, power law index, but decreases with inclination. Further, the shear stress increases with plug core region radius.