Healthy kidney cleans blood and removes unwanted materials in the form of urine. When the kidney does not work properly, dialysis is one of the best solutions. Dialysis required if unhealthy kidney does not remove enough wastes and fluid from the blood. This usually happens when only 10 - 15 % of kidney’s function left. A dialyzer is used to clean blood. In an attempt to address clinical and experimental discrepancies, compartmental theoretical models have been used. Noda et al. (1979) were among the first to introduce a theoretical model on mass transfer using countercurrent flows. Their proposed model assumes an ideal flow distribution of the hollow fibers. Since diffusion is the main mechanism, c(r; t) has been denoted as the concentration of a solute per unit volume at the point r and time t. In this paper, instead of time, we have proposed a new parameter for the concentration of the solute, which is independent of time. Results reveal the behavior of concentration of urea in terms of eigenvalues which depends on angular flow.
Misra, J. K.; Singh, Pradeep K.; Ahmad, Naseem; and Sharma, Pankaj
Comparative Analysis on Angular Flow and Mass Transfer in Haemodialysis,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
1, Article 21.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/21