MHD Boundary Layer Flow of Casson Fluid Over a Stretching/Shrinking Sheet Through Porous Medium

MHD boundary layer flow of Casson fluid over a permeable stretching/shrinking sheet in a porous medium is investigated. Applying similarity transformations, the governing partial differential equation are converted into ordinary differential equation and solved it analytically. The effects of magnetic parameter, permeability parameter and Casson parameter on are presented graphically on velocity profiles while the local skin friction coefficient are presented through graphs. Our analysis reveals that the increase of Casson parameter the velocity is decrease and also reduce the boundary layer thickness. Keywords: MHD, Casson parameter, permeability parameter, boundary layer, stretching/shrinking sheet

COUETTE FLOW OF A JEFFREY FLUID IN A ROTATING CHANNEL

The steady flow of a Jeffrey fluid between two infinite parallel plates separated by a distance is investigated. The upper plate moves with constant velocity in direction, where the axis is taken on the lower stationary plate. The channel is rotating with an angular velocity about axis. The velocity field and the temperature distrubation are obtained. When , the results obtained reduce to corresponding ones of Jana and Datta [21] for Couette flow of a Newtonian fluid in a rotating system. The effects of various physical parameters on the velocity and temperature are discussed in detail. It is observed that the velocity and the temperature increase with an increase in Jeffrey parameter

Novel Advent For Add-On Security By Magic Square Intrication

The efficiency of a cryptographic algorithm is based on its time taken for encryption / decryption and the way it produces diverse cipher text from a clear text. The RSA, the extensively used public key algorithm and other public key algorithms may not guarantee that the cipher text is copiously secured. As an alternative approach to handling ASCII characters in the cryptosystems, a magic square implementation is deliberated of in this work. It attempts to augment the efficiency by providing add-on security to the cryptosystem. This approach will boost the security due to its complexity in encryption because it deals with the magic square. Here, encryption / decryption is based on numerals generated by magic square rather than ASCII values. In this, we add the ASCII value and the numeral in the consequent magic square. Because to encrypt the plaintext characters, their ASCII values are taken and if a character occurs in numerous places in a plaintext there is a possibility of same cipher text is produced. To surmount the problem, this paper attempts to develop a technique in which a constant is added for the recurring character

Peristaltic-Ciliary Flow of A Casson Fluid through An Inclined Tube

The paper is concerned with the peristaltic-ciliary transport of a viscoplastic fluid (Casson fluid) through an inclined cylindrical tube. The peristalsis-cilia induced motion is analysed in the moving frame of reference under the lubrication approximations. Solutions to the flow characteristics petering to yielded and unyielded regions are obtained. The effects of various physical parameters on the axial velocity, the pumping characteristics, the pressure rise, and the frictional force over one wavelength, along with the trapping phenomenon are presented through graphs. Further, the peristaltic flow and peristaltic-ciliary flow results are compared. It is noticed that the axial velocity and the size of trapping bolus in the unplug flow region decrease with an increase in the yield stress. In addition, the axial velocity and the axial pressure gradient in the peristaltic-ciliary pumping are higher than those in the peristaltic pumping

Effect of Heat Transfer on Free Surface Flow of a Jeffrey Fluid over a Deformable Permeable Bed

Free surface flow of a conducting Jeffrey fluid in a channel is investigated. The channel is bounded below by a finite deformable porous layer. The governing equations are solved in the free flow region and deformable porous layer. The expressions for the velocity field and solid displacement are obtained. The effects of the Jeffrey parameter, viscosity parameter, the volume fraction component of the fluid on the velocity displacement and mass flux are discussed. It is found that the velocity increases with the increase in the non-Newtonian Jeffrey parameter. Keywords: Free surface flow; Jeffrey fluid; Porous layer; Permeable bed

Peristaltic Pumping of a Generalized Newtonian Fluid in an Elastic Tube

The paper investigates the peristaltic pumping of an incompressible non-Newtonian fluid in an elastic tube with long wavelengths and low Reynolds number approximations. Carreau fluid model is considered for present study to describe the peristaltic flow characteristics of non- Newtonian fluid in an elastic tube. Carreau fluid is a generalized Newtonian fluid which exhibits Newtonian behaviour for and it resembles as a power-law model at higher shear rates. For it exhibits shear-thinning property, i.e., the apparent viscosity reduces with increasing shear rate. The equations governing the fluid flow are solved with usual perturbation expansion by taking Weissenberg number as a perturbation parameter. The expressions for axial velocity, stream function and volume flow rate as function of pressure difference are derived. The effects of various pertinent parameters on variation of flux for a Carreau fluid flow through an elastic tube along with peristalsis are calculated and interpreted through graphs. The pressure rise per wavelength and shear stress distribution for different values of physical parameters are calculated and presented. Trapping phenomenon is presented graphically to understand the physical behaviour of various parameters. The difference in flux variation is examined by two different models of Rubinow and Keller (1972) and Mazumdar (1992). It is observed that in elastic tubes, the flux of Carreau fluid with peristalsis is more when the tension relation is a fifth degree polynomial as compared to exponential curve. When the power-law index or Weissenberg number and without peristalsis, the present results are similar to the observations of Rubinow and Keller (1972). Further, the relation between the function and radius of the elastic tube for both Newtonian, non-Newtonian cases are discussed graphically and these findings are identical with the investigations of Mazumdar (1992). The results observed for the present flow characteristics reports several interesting behaviours that warrant further study of physiological fluids in elastic tubes with peristalsis

Oscillatory flow of a conducting Jeffrey fluid in a composite porous medium channel

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.Unsteady flow of a conducting Jeffrey fluid in a horizontal composite porous medium channel is investigated. A uniform transverse magnetic field of strength 0 B is applied perpendicular to the composite channel. The flow in the channel is divided into two regions, namely porous and nonporous regions. The flow in the porous region is modeled using Darcy-Brinkman equation. The viscous and Darcian dissipation terms are also included in the energy equations governing the flow. The nonlinear governing equations are solved analytically using two-term harmonic and non-harmonic functions. The effects of the porous medium parameter, ratio of viscosities, oscillation amplitude, conductivity ratio, Prandtl number and Eckert number on the velocity and the temperature fields are studied in detail. It is found that the velocity decreases with the increase in the non-Newtonian Jeffrey parameter whereas the temperature shows same trend with the Jeffrey parameter. For a given ratio of viscosity m, the interface velocity decreases with increasing magnetic parameter M and porous medium parameter σ.cf201

Impact of hematocriton the flow of casson fluid in contact with jeffery fluid over a narrow pipe

758-764The flow of Casson fluid in contact with Jeffery fluid in a tube with a small diameter is concentrated in this paper. Casson fluid is considered in the central region and Jeffery fluid in the outer region. The governing equations are solved analytically and obtained expressions for velocity, flux, effective viscosity, central hematocrit, and mean hematocrit in dimensional form. The effect of many physical parameters on velocity, flux, effective viscosity, central hematocrit, and mean hematocrit is observed through graphs. Central hematocrit increases with an increase in yield stress and hematocrit and means hematocrit decreases with an increase in yield stress and hematocrit. The paper finds its applications in the flow of blood in narrow arteries, vines, and capillaries. The problem warrants further study on the flow of non-Newtonian two-fluid flows in a narrow tube

Impact of hematocriton the flow of casson fluid in contact with jeffery fluid over a narrow pipe

The flow of Casson fluid in contact with Jeffery fluid in a tube with a small diameter is concentrated in this paper. Casson fluid is considered in the central region and Jeffery fluid in the outer region. The governing equations are solved analytically and obtained expressions for velocity, flux, effective viscosity, central hematocrit, and mean hematocrit in dimensional form. The effect of many physical parameters on velocity, flux, effective viscosity, central hematocrit, and mean hematocrit is observed through graphs. Central hematocrit increases with an increase in yield stress and hematocrit and means hematocrit decreases with an increase in yield stress and hematocrit. The paper finds its applications in the flow of blood in narrow arteries, vines, and capillaries. The problem warrants further study on the flow of non-Newtonian two-fluid flows in a narrow tube