CONVECTIVE HEAT TRANSFER ON STENOSED BLOOD FLOW THROUGH PERMEABLE MICROCIRCULATION IN THE PRESENCE OF A MAGNETIC FIELD

Alana Sankar1*, Sreedhara Rao Gunakala2 and Donna M. G. Comissiong3

1,2,3 Faculty of Science and Technology, The University of the West Indies, Trinidad

1Email: alana.sankar@sta.uwi.edu *(Corresponding author)

2Email: sreedhara.rao@sta.uwi.edu

3Email: donna.comissiong@sta.uwi.edu

Abstract:

Blood flow through permeable microcirculation in the presence of a composite stenosis, an external magnetic field and convective heat transfer was examined. A two-layered model for the blood consisting of a fluid-particle suspension in the core region with a peripheral cell-free plasma layer was used. The proposed system of equations was solved and plots were generated. In the presence of permeable walls, an external magnetic field and convective heat transfer, the temperature of the blood, friction-factor Reynolds number and Nusselt number were investigated. The temperature of the blood increased when the Hartmann number increased, Darcy number increased, haematocrit level increased or the peripheral layer thinned. The friction-factor Reynolds number product increased as the haematocrit, Hartmann number, stenosis height or Darcy number increased. The Nusselt number decreased as the Hartmann number, haematocrit, stenosis height or Darcy number increased. These results were interpreted in terms of the physical situation. This study aids in understanding the effects of wall permeability, a magnetic field and the presence of heat transfer on different diseased arterial systems in the future.

 

Keywords: Blood flow, Heat transfer, Magnetic field, Permeable microcirculation.

 

https://doi.org/10.47412/VYBY3868

 

 

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