Mathematical Studies Of Certain Second Order Blood Flow Problems

The book "Mathematical Studies Of Certain Second Order Blood Flow Problems" offers a comprehensive investigation of blood flow under the influence of a transverse magnetic field. A computer-oriented numerical approach is employed to analyze the dynamics of blood flow, treating blood as a non-Newtonian fluid. The mathematical formulation of the problem is presented in detail, and through the application of similarity transformations, a system of partial differential equations is transformed into a boundary value problem of ordinary differential equations. The solutions are numerically determined using shooting techniques, and the results are graphically represented. Special attention is given to the influence of magnetic parameters on flow dynamics, which may be of great interest to researchers in this field. At the end of each chapter, the code written in C for the respective boundary value problem is provided to support the reproducibility and application of the results.