Popis: |
We study the capillary rise of wetting in liquids b y slightly modifying Ponomarenko’s result, a recent ly derived and observed t 1/3 law, without omitting the corresponding gravity ter m and therefore we find hnew (t)≅0.9085 hPon (t) instead, which corresponds to a 9% difference. Fu rthermore, in order to examine the effect of corrected gravity, we extend the result o n the surface of a planetary body by correcting the gravitational acceleration for its oblateness coeff icient and rotation. We find that experiments that take place on the equator result in highest capillary heights, than those at mid latitudes and the poles. Similar ly, analyzing the effect of reduced gravitational shiel ding on the capillary rise under conditions of micr ogravity in experiments aboard orbiting spacecraft, we find that equatorial circular orbits exhibit the highest capillary heights, where equatorial elliptical orbits of larg e eccentricities exhibit the smallest capillary hei ghts. Finally, we calculate the rate of change of the men iscus height in the time domain, for the different laboratory conditions on the surface of the Earth a nd in space and as example. As an example we say that laboratory sites at the equator will exhibit larges time rates of change for the meniscus height. Simi larly, for experiments above a spacecraft we find that circula r equatorial orbits exhibit the highest time rates of change, where elliptical orbits exhibit smaller tim e rates that reduce as the eccentricity increases. |