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ISSN Print: 1064-2285
ISSN Online: 2162-6561

# Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018016105
pages 747-760

## ENTROPY GENERATION IN BLOOD FLOW WITH HEAT AND MASS TRANSFER FOR THE ELLIS FLUID MODEL

College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
M. Ali Abbas
Department of Mathematics, Shanghai University, Shanghai 200444, China; Department of Computer Science, Karakoram International University, Skardu Campus, Gilgit Baltistan 16100, Pakistan
M. M. Rashidi
Department of Civil Engineering, University of Birmingham, Edjbaston B15 2TT, Birmingham; Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai 201804, China

### ABSTRACT

In this paper, entropy generation during heat and mass transfer in peristaltic Ellis fluid (blood) flow through a nonuniform channel is investigated. The walls of the channel are considered to be compliant. The governing equations for the Ellis fluid model, as well as the energy, concentration, and entropy equations are simplified using the approximation of long wavelength (0 << λ → ∞) and creeping flow regime (Re → 0). The solution for the resulting differential equations is obtained analytically, and closed form solutions are presented. Mathematical and graphical analyses of the velocity profile, temperature profile, concentration profile, and entropy profile are presented for the Schmidt, Eckert, Soret, Prandtl, and Brinkmann numbers, compliant wall parameters, and Ellis fluid parameters. It is observed that the fluid parameters provide a significant resistance to the velocity of the fluid.Moreover, the Eckert and Schmidt numbers show opposite impact on the concentration profile as compared to temperature distribution. The present investigation is also applicable in treatment of various diagnostic problems and different drug delivery systems in pharmacological, thermal, and biomedical engineering.

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