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Technical Briefs

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

[+] Author and Article Information
I. V. Shevchuk

 MBtech Powertrain GmbH, Salierstrasse 38, 70736 Fellbach-Schmiden, Germany

J. Heat Transfer 133(2), 024502 (Nov 03, 2010) (3 pages) doi:10.1115/1.4002606 History: Received February 22, 2010; Revised August 25, 2010; Published November 03, 2010; Online November 03, 2010

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.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Schematic of fluid flow in a conical gap, rotating cone and stationary disk

Grahic Jump Location
Figure 2

Velocity profiles between rotating disk and stationary cone (1, 2) or stationary disk and rotating cone (3, 4). (1) vr/(ωr), (2) vφ/(ωr), (3) vr/(Ωr), and (4) vφ/(Ωr).

Grahic Jump Location
Figure 3

Temperature profiles of θ in the gap. Rotating disk, stationary cone: solid lines for n∗=0, dashed lines for n∗=−1. Stationary disk, rotating cone: dashed-dotted lines for n∗=0, dashed-dotted-dotted lines for n∗=−1. (1) Pr=0.71, (2) Pr=10, and (3) Pr=100.

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