A finite difference analysis of the entrance region flow of Herschel-Bulkley fluids in concentric annuli with rotating inner wall has been carried out. The analysis is made for simultaneously developing hydrodynamic boundary layer in concentric annuli with the inner cylinder assumed to be rotating with a constant angular velocity and the outer cylinder being stationary. A finite difference analysis is used to obtain the velocity distributions and pressure variations along the radial direction. With the Prandtl boundary layer assumptions, the continuity and momentum equations are solved iteratively using a finite difference method. Computational results are obtained for various non-Newtonian flow parameters and geometrical considerations. A significant asymmetry is found in the entrance region which is gradually reduced as the flow develops. For smaller values of aspect ratio and higher values of Herschel-Bulkley number the flow is found to stabilize more gradually. Comparison of the present results with the results available in literature for various particular cases has been done and found to be in agreement.

Abstract

Killari et al.: Antiinflammatory activity of Fortified Triticum aestivum with Cow urine Cow urine distillate appear to possess bioenhancement capacity that increases effectiveness of medicinal products. So, the current research was aimed to evaluate the antiinflammatory and antioxidant activity of wheat grass powder fortified with cow urine distillate. Antiinflammatory activity was studied using carrageenan-induced paw edema in Wistar rats at 100, 200 and 400 mg/kg doses of wheat grass powder fortified with cow urine distillate and the antioxidant capacity was studied using the ferric thiocyanate method. Wheat grass powder fortified with cow urine distillate showed significant reduction (61.09 %) in peroxide production in the ferric thiocyanate method. All the three doses tested produced significant inhibition of rat paw edema in the carrageenan assay but the 400 mg/kg dose produced maximum inhibition of rat paw edema (40.06 %) at the 5 h time point compared to the control. It is possible to conclude from the results of the study that fortification of wheat grass powder with cow urine distillate enhanced the antioxidant and antiinflammatory activities and further research is necessary to understand the mechanism and phytochemicals responsible for the fortification of the activity of wheat grass.

Entrance region flow in concentric annuli with rotating inner wall for Bingham non-Newtonian fluid has been studied numerically. The inner cylinder is assumed to be rotating with a constant angular velocity ω and the outer cylinder to be stationary. Finite difference analysis is used to obtain the velocity components U, V, W and the distribution of pressure P along the radial direction R. With Prandtl's boundary layer assumptions, the continuity and momentum equations are solved iteratively using a finite difference method. Computational results are obtained for various non-Newtonian flow parameters and geometrical considerations. The development of the axial velocity profile, radial velocity profile, tangential velocity profile and pressure distribution in the entrance region have been analyzed. Comparison of the present results with the results available in literature for various particular cases has been done and found to be in agreement. Mathematical Subject Classification: 76U05

This research article analyzes the entrance effects in concentric rings with rotation of inner ring for the blood model Casson non-Newtonian fluid. The investigation is done with the assumption that, the inner ring rotates with a constant velocity along angular direction also the outer ring is at rest. The finite difference technique was applied to find the velocity profiles, variation of pressure in the radial coordinate direction. Calculation has been done for different annular gap values and Casson number. The compared results for different special cases was made and observed to be concordant.