Laminar Heat and Mass Transfer in Rotating Cone-and-Plate Devices

2010 ◽  
Vol 133 (2) ◽  
Author(s):  
I. V. Shevchuk

The convective diffusion of feeding culture and the effect of fluid shear stress on endothelial cells are frequently investigated in cone-and-plate devices. Laminar fluid flow and heat and mass transfer in a cone-and-plate device, with cone apex touching the plate/disk, were simulated. The disk-to-cone gap made 1–5 deg. Transport equations were reduced to a system of self-similar ordinary differential equations solved numerically. Cases studied were a rotating cone and a stationary plate, and vice versa. The cone was isothermal, while the disk temperature followed a power-law radial distribution; boundary concentrations were constant. Prandtl and Schmidt numbers varied from 0.1 to 800. Temperature/diffusion profiles in the gap and Nusselt and Sherwood numbers exhibit different regimes of heat/mass transfer, depending on the disk surface temperature distribution.

Author(s):  
Chakravarthula S.K. Raju ◽  
Naramgari Sandeep

A mathematical model has been proposed for analyzing the momentum, heat and mass transfer in Bio-convection flow towards a rotating cone/plate in a rotating fluid with nonlinear thermal radiation and chemical reaction. In this study we considered gyrotactic microorganism’s contained Williamson fluid. Numerical results are carried out by using Runge-Kutta based shooting technique. The effects of dimensionless governing parameters on the flow, heat and mass transfer are illustrated graphically. It is also computed the friction factors for the tangential and azimuthal directions, local Nusselt and Sherwood numbers along with the local density of the motile organisms. It has been observed a good agreement of the present results with the existed literature. The obtained results indicate that the heat and mass transfer rate is significantly increases for higher values of buoyancy parameter and Biot number. It is also found that the heat and mass transfer performance in Bio-convection flow is significantly high on the flow over a rotating plate while compared with the rotating cone.


AIP Advances ◽  
2016 ◽  
Vol 6 (12) ◽  
pp. 125125 ◽  
Author(s):  
S. Bilal ◽  
Khalil Ur Rehman ◽  
Hamayun Jamil ◽  
M. Y. Malik ◽  
T. Salahuddin

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