Vol. 1, Issue 3 (2012)
Topic - A Non-Newtonian mathematical model on the two phase renal mean blood flow in renal arterioles with special reference to diabetes
V. Upadhyay, Harish Chandra*, P. N. Pandey
In this paper, we have presented a model of two phased blood flow in renal arterioles remote from the heart and proximate to the Kidney keeping in view the nature of renal blood circulation in human body. If blood flows arterioles to capillaries then blood pressure drop arises in human body The viscosity increases in the arterioles due to formation of roulex along axis by red blood cells, as we know the arterioles are remote from heart and proximate to the kidney. P.N. Pandey and V. Upadhyay have considered the blood flow has two phased, one of which is that of red blood cells and other is Plasma. They have also applied the Herschel Bulkley non –Newtonian Model in bio-fluid mechanical set-up. We have applied the Campbell-Pitcher two phase model in biofluid mechanical setup which is realistic in so for as the blood flow is considered to be two phased homogenous mixture of blood cells and plasma. We have collected a clinical data in case of Diabetes for Hematocrit v/s Blood Pressure drop. The overall presentation is in tensorial form and solution technique adapted is analytical as well as numerical. The role of Hematocrit is explicit in the determination of blood pressure in case of renal disease –Diabetes. The graphical presentation for particular parametric value is much closer to the clinical observation.
How to cite this article:
V. Upadhyay, Harish Chandra*, P. N. Pandey. Topic - A Non-Newtonian mathematical model on the two phase renal mean blood flow in renal arterioles with special reference to diabetes. 2012; 1(3): 73-83.