Spatio-temporal evolution of magnetohydrodynamic blood flow and heat dynamics through a porous medium in a wavy-walled artery.

Background And Objective: In a healthy body, the elastic wall of the arteries forms wave-like structures resulting from the continuous pumping of the heart. The systolic and diastolic phases generate a contraction and expansion pattern, which is mimicked in this study by considering a wavy-walled arterial structure. A numerical investigation of the spatio-temporal flow of blood and heat transfer through a porous medium under the action of magnetic field strength is conducted.

Fractional order model of thermo-solutal and magnetic nanoparticles transport for drug delivery applications.

We examine the capturing efficiency of magnetic nanoparticles bound with drug molecules infused into the blood stream and monitored them by the application of an external magnetic field. We analyzed the motion of the nanoparticles along with the blood velocity through a porous medium vessel under the effect of periodic vibration. The thermo-solutal transport with Caputo-Fabrizio fractional-order derivative is modeled with non-Newtonian biviscosity fluid, Soret and Dufour effect, thermal radiation, and linear variation of the chemical reaction.

Mathematical model to verify the role of magnetic field on blood flow and its impact on thermal behavior of biological tissue for tumor treatment.

The numerical computation has been performed to study the effects of static magnetic field on thermal behavior of tumor surrounded by living biological tissues and blood vessels. A small rectangular shaped tumor enclosing the blood vessel surrounded by healthy tissue is considered. The model consists of two-layer composite system in which the microvessel for blood flow is considered as a fluid layer and the living biological tissue including tumor as a solid layer.

Fractional order model for thermochemical flow of blood with Dufour and Soret effects under magnetic and vibration environment.

We examine the effect of the Caputo-Fabrizio derivative of fractional-order model on the flow of blood in a porous tube having thermochemical properties under the magnetic and vibration mode. Blood is considered as the biviscosity non-Newtonian fluid having thermal radiation and chemical reaction properties to observe its impact on energy flux and mass flux gradients. We provided analytical solution via the Laplace, finite Hankel transform, and the corresponding inverse techniques.