Title :
Biological Analysis of Jeffrey Nanofluid in a Curved Channel With Heat Dissipation
Author :
Maraj, E.N. ; Akbar, N.S. ; Nadeem, S.
Author_Institution :
Dept. of Math., Quaid-i-Azam Univ., Islamabad, Pakistan
Abstract :
This study examines the peristaltic flow of Jeffrey nanofluid in a curved channel. The governing equations of Jeffrey nanofluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the long wave length and low Reynolds number assumptions. The reduced nonlinear partial differential equations are solved analytically with the help of homotopy perturbation method. The expression for pressure rise is computed through numerical integration. The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise, velocity, temperature, nanoparticle volume fraction and stream functions. It is observed that the curve-ness of the channel decreases the pressure rise in the peristaltic pumping region. Moreover, curve-ness of the channel effects the fluid flow by decreasing the fluid velocity near inner wall and increasing the velocity near the outer wall of the channel.
Keywords :
biological fluid dynamics; blood vessels; channel flow; cooling; nanofluidics; nanomedicine; nonlinear differential equations; numerical analysis; partial differential equations; peristaltic flow; perturbation theory; Jeffrey nanofluid model; Reynolds number; biological analysis; channel effects; curved channel; fluid flow; fluid velocity; heat dissipation; homotopy perturbation method; nanoparticle volume fraction; nonlinear partial differential equations; numerical integration; peristaltic flow; peristaltic pumping region; pertinent parameters; physical features; stream functions; Equations; Fluids; Heating; Mathematical model; Nanobioscience; Niobium; Partial differential equations; Curved channel; Jeffrey fluid; Peristaltic flow; heat transfer; nanofluid;
Journal_Title :
NanoBioscience, IEEE Transactions on
DOI :
10.1109/TNB.2014.2338891