Modelling the performance of two-channeled haemodialyser with single rectangular membrane - Asymptotics and numerical approximation [ READ ]
Ugochukwu Obinna Ugwu
The efficiency of a two channeled haemodialyser with a rectangular membrane have been investigated; with blood flow considered incompressible, unidirectionally constant and assumed to be flowing in counter-clockwise direction with the dialysate. The smallest dimensionless parameter was identified and technique of asymptotic expansions used to consider a problem for the resulting 2D-convection-diffusion system (CDs) in the limit of . The CDs was solved numerically using MATLAB’s pdepe while eigenvalues found in transcendental equation were obtained using MATLAB’s fsolve. Comparison between the numerical and analytic solutions were considered with sensitivity analysis of diffusion coefficient and membrane coefficient studied.
Ugochukwu Obinna Ugwu
The efficiency of a two channeled haemodialyser with a rectangular membrane have been investigated; with blood flow considered incompressible, unidirectionally constant and assumed to be flowing in counter-clockwise direction with the dialysate. The smallest dimensionless parameter was identified and technique of asymptotic expansions used to consider a problem for the resulting 2D-convection-diffusion system (CDs) in the limit of . The CDs was solved numerically using MATLAB’s pdepe while eigenvalues found in transcendental equation were obtained using MATLAB’s fsolve. Comparison between the numerical and analytic solutions were considered with sensitivity analysis of diffusion coefficient and membrane coefficient studied.
