Mathematical Model of Two Phase Newtonian Renal Blood Flow to the Kidney with Reference to Diabetes

Rashi Khubnani; Tarunika Sharma; Dr.Harish Chandra

doi:https://doi.org/10.14445/22315373/IJMTT-V53P565

International Journal of Mathematics Trends and Technology

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Volume 53 | Number 7 | Year 2018 | Article Id. IJMTT-V53P565 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P565

Mathematical Model of Two Phase Newtonian Renal Blood Flow to the Kidney with Reference to Diabetes

Rashi Khubnani , Tarunika Sharma , Dr.Harish Chandra

Abstract

In the present paper we have formulated a mathematical model in the renal blood flow along the capillaries in case of renal disease Diabetes. Keeping in the view the nature of renal circulatory system in human body. we have considered the blood flow has two phase one of which is that of red blood cells and other is plasma. According to Fahreaus-Lindqvist effect the blood flow in two separated layers while passing through capillaries. The plasma layer which flows along the surface of the capillaries contains almost no blood cells. The second layer the core layer containing blood cells which flows in plasma along the axis of capillary. We have collected a clinical data in case of Diabetes for hematocrit v/s blood pressure. The graphical presentation for particular parametric value is much closed to the clinical observation. 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 drop in case of renal disease Diabetes.

Keywords

Diabetes , Glomerular capillary ,Hematocrit, , Nephron ,Pressure drop, , Renal circulation.

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Citation :

Rashi Khubnani , Tarunika Sharma , Dr.Harish Chandra, "Mathematical Model of Two Phase Newtonian Renal Blood Flow to the Kidney with Reference to Diabetes," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 7, pp. 539-548, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P565