This research explores the creeping flow of a Jeffrey fluid through a narrow permeable slit with an application of blood flow through a planer hemodialyzer. The fluid motion of Jeffrey fluid in a two-dimensional conduit with nonhomogeneous boundary conditions due to constant reabsorption on the wall is a complicated problem. The viscous effect of Jeffrey fluid in a cross-sectional area of a narrow slit is computed with the help of continuity and momentum equation. The stress component, velocity profile, stream function, and pressure gradient show the behavior of creeping flow of Jeffrey fluid in a narrow slit. To find the explicit expression of velocity, pressure, stream function, and flux, recursive (Langlois) approach is adopted. Maximum velocity, shear stress, leakage flux, and fractional absorption on the wall are also calculated in this research. The mathematical results of this research are very helpful to study the blood flow through planer hemodialyzer; therefore, this theoretical model has significant importance in the field of renal physiology.

Geranium wallichianum D. Don ex sweet belongs to Family Geraniaceae, distributed in Himalaya region of Pakistan. It is highly medicinal. It is native to Pakistan due to its restricted geographic ranges, specific habitats and anthropogenic activities more than 75% population has been reduced. Major threats are grazing of pasture, forest encroachment, soil-slope erosion, poverty, forest fire, illegal trade, habitat loss, invasive species and the lack of adequate training. In this review efforts are made to document the conservation status of important medicinal plant G. wallichianum. It is most threatened species and deserves special attention. Due to insufficient information, there is no organization strategy for conservation of this plant. With great ethnomedicinal value of this plant species draw the attention of the researchers to conserve it. Several conservation studies and efforts are making to conserve it, but comprehensive and long lasting conservation policies are necessary to ensure its conservation.

No abstract

No abstract

This research presents the analytical study of the creeping flow of a Maxwell fluid in a permeable slit under the effect of linear reabsorption. Analysis of fluid leakage on the slit wall is carried out with the help of the law of conservation of momentum in the rectangular coordinates. The mathematical model in the form of the system of nonlinear partial differential equations is solved by the recursive approach explaining the hydrodynamic aspects of creeping Maxwell fluid flow. The expressions for the velocity field, hydrostatic pressure, stream function, leakage flux, and fractional reabsorption on the boundary of the slit are obtained from the mathematical model. Graphical analysis is also established to demonstrate the effects of emerging parameters due to linear reabsorption on slit boundary and relaxation time. It is analyzed that the horizontal and vertical velocity decelerates by the growing values of the relaxation parameter, but the reabsorption rate gives an increasing effect on the shear stress, volume flow rate, and vertical velocity. This analytical study will help the bioengineers in designing the medical tools with the required pressure and flow rate, therefore the application of this model for the hemodialyzer is also important.