Fluid Flow With Three Upstream Configurations in Freezing Tubes

The accumulation of frozen liquid around a central passageway melt as it flows through freezing region can make calculations very challenging. To both illustrate and to quantify some these challenges from freezing, model equation is developed. It simplifies the solution Holmes (2007, https://gfd.whoi.edu/wp-content/uploads/sites/18/2018/03/MHolmesGFDReport_30151.pdf) for low Reynolds number single component flow long tube that has wall kept at subfreezing temperature. This used in conjunction with three different upstream configurations, each parameters expressing their behavior. Analytical numerical results give have criteria for: compressible reservoir includes oscillatory behavior; fed constriction large pressure, just like dripping water faucet during winter; evolution multiple tubes connected by an manifold, where end up full others freeze shut. Numerical runs 1,000 formula spacing between actively flowing (non-frozen) over wide ranges two (flow rate manifold resistance). Results implications various areas earth science. Some are: shut magma region, criterion wintertime ice natural springs, volcanos.