Biomedical engineers, medical scientists, and clinicians are expressing a notable interest in the measurement of blood flow rate because it is used to detect cardiovascular diseases such as atherosclerosis and arrhythmia. Several researchers have adopted various non-Newtonian fluid models to investigate blood flow in the circulatory system. Because many non-Newtonian fluid models like Herschel Buckley, Powell-Eyring fluid, tangent hyperbolic fluid, and Williamson fluid exhibit the characteristics of blood. The tangent hyperbolic fluid model expresses the rheological characteristics of blood more accurately due to its shear-thinner properties. This work is performed to express the significance of the induced magnetic field and gyrotactic microorganisms on the flow of tangent hyperbolic nanofluid over a plate, wedge and stagnation point of the plate. Suitable self-similarity variables are employed to convert the fluid transport equations into ordinary differential equations which have been solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. The impacts of active parameters on transport properties of the fluid are illustrated with graphs and tables. The growing magnetic parameter lessens the blood nanofluid velocity over three geometries. Blood nanofluid has a higher heat transfer rate over a stagnation point compared with other two geometries. Blood nanofluid temperature augments for uplifting the thermophoresis parameter. Peclet number shows a high impact on microorganisms density in a blood nanofluid. This exploration can provide a clear view regarding the heat and mass transfer behavior of blood flow in a circulatory system and various hyperthermia treatments like treatment of cancer. © IMechE 2020.