Acknowledgement Research is subsidized by J 0498 212200008

Acknowledgement: Research is subsidized by J 04/98: 212200008 15 x 21 1. INTRODUCTION: Parallel flows are typical for many apparatuses e. g. shell&tube or plate heat exchangers, heaters, reactors. Sometimes instabilities or non-uniform distribution of flow in parallel channels occur if the apparatus operates at non-isothermal conditions. Parallel flow instabilities have been observed also in lateral channels of direct ohmic heater. 2. R. Žitný, J. Thýn Department of Process Engineering CTU in Prague, Faculty of Mechanical Engineering DIRECT OHMIC HEATER: Volumetric heat source enables in principle more uniform heating, important e. g. for food processing (sterilization). Problems are with overheating at walls, e. g. at the surface of electrodes which must be cooled. The current design makes use processed liquid flowing in lateral channels for the electrodes cooling. Electrodes of heater are perforated - cross flow from lateral channels should improve uniformity of temperatures in central channel and uniformity of residence times. This design is suitable for very viscous liquids (sauces, juices, . . ), i. e. for creeping flow (Re<<1) when natural convection can be neglected. 3. PROBLEMS - BUOYANCY There are problems with heating of low viscous liquids (e. g. water, milk), associated with influence of buoyancy and natural convection. • ASYMMETRY of parallel flows in lateral channels. If one of parallel flows slows down its temperature increases, and liquid in this channel becomes lighter. This creates driving force (pressure difference) promoting circulation from “fast“ channels to the “slow“ channel thus increasing initial small disturbance. One parallel stream is delayed or even stopped if the temperature increase is too high. • CROSS-FLOW suppression. Warmer liquid in the central channel is lighter than liquid in lateral channels and corresponding pressure profile forces liquid to flow through perforation in opposite direction (out of the heating zone). E-mail: zitny@fsid. cvut. cz 5. CONTROL VOLUME MODEL Cross-flow through perforation has been respected in a simple integral model, based upon • Mass balances • Heat transfer • Momentum • Tracer balances of control volumes characterised by: • parabolic velocity profile (experimentally evaluated u /u =1. 73 at 30 ml/s, theory 1. 744) • linear increase of temperature • residence times - serie of mixers Responses to tracer injection will be compared with experiments. max mean 6. EXPERIMENTS Stimulus - response technique (injection of a tracer and measurement responses) has proved to be useful for detection of cross-flow. As tracers KCl (conductivity method), KMn. O 4 (visualisation), Tc 99 (radioisotope) were used. Asymmetries of flow are better observed by thermometers arranged along the lateral channels. . T 0, p 0, Q Warm liquid (Te) stands in the right channel if p 1 -p 0= 0 g. L[1 - (Te-T 0)] L H Narrow channel (H=8 mm) without heating. Very large cross flow. h Narrow channel (H=8 mm) 5 k. W. Cross-flow suppressed. 4. MATHEMATICAL DESCRIPTION Theoretical analysis which does not take into account crossflow through perforation predicts two solutions of temperature and flow-fields: ·Symmetric solution (flow-rates and temperatures in lateral channels are equal) ·Asymmetric solution exists within a certain range of flow -rates and heating power. Asymmetric solution can be interpreted as a magnitude of disturbance causing instability of flow. Mathematical model identifies parameters having significant influence upon the stability limits, e. g. width of lateral channels. More details can be found in http: //www. fsid. cvut. cz/en/u 218/peoples/zitny/imagohm/instabil. doc Wide channel (H=18 mm) without heating Wide channel (H=18 mm) 5 k. W-cross flow suppressed CONCLUSIONS: • Asymmetry and instability of parallel flows can be explained by natural convection. • Stability of flow can be improved by increasing friction losses, e. g. by narrowing lateral channels. • Model and experiments predict that the cross-flow is suppressed (or even reversed) at non-isothermal flow.