#CONDENSE CALCULATOR SERIES#

Outside of mathematics, they're used in statistics (e.g., the lognormal distribution), economy (e.g., the GDP index), medicine (e.g., the QUICKI index), and chemistry (e.g., the half-life decay). After all, whatever we raise to power 0, we get 1. Whatever the base, the logarithm of 1 is equal to 0.In other words, whenever we write logₐ(b), we require b to be positive. The logarithm function is defined only for positive numbers.We denote them ln(x) and log(x) (the second one simply without the small 10), and their bases are, respectively, the Euler number e and (surprise, surprise!) the number 10. There are two very special cases of the logarithm which have unique notation: the natural logarithm and the logarithm with base 10.And if we wanted to get even more technical, we'd say that the first inverts a polynomial function, while the latter inverts an exponential one.īefore we move further, let us have a pretty bullet list with a few vital points of information about our new friend, the logarithm function. If we wanted to get a bit more technical, then we could say that, in general, if we had an expression xʸ, then the root is the inverse operation for x, while the logarithm is that for y. Note, however, that in general, this can be a fractional exponent.įor comparison, the inverse operation that would return the 5 from 5⁸ would be simply the ( 8-th) root. Symbolically, we can write the definition like so: 💡 logₐ(b) gives you the power to which you'd need to raise a in order to obtain b. In other words, it is a function that tells you the exponent needed to obtain the value.

The logarithm (of base 5) would be the operation if we chose option 8. So what should the inverse operation give? If we have 5⁸, should it return 5 or 8? After all, we know that 5 + 8 = 8 + 5 and 5 * 8 = 8 * 5, but 5⁸ is very different from 8⁵. For exponents, however, the story gets more complicated. For multiplication, it's still pretty simple: it's division. Lucky for us, mathematics, and the whole world of science, other curious people found the answer.įor addition, it was easy: the inverse operation is subtraction. In this case, they wondered if there was a way to invert all these operations. However, there is always that one curious person who asks the wildest questions. Then, an obvious question appeared: how could we write multiplying the same number several times? And again, there came some smart mathematician who introduced exponents. The correlation has been experimentally validated and shows excellent agreement, as 90% of theoretically predicted values are within ☑2% of experimental data.As soon as humanity learned to add numbers, it found a way to simplify the notation for adding the same number several times: multiplication. The correlation accounts air as a non-condensing gas, different heights of vertical plates, and different thermal-hydraulic parameters. Here we present a simple and computationally efficient semi-empirical correlation describing forced flow condensation from humid air inside vertical channels formed by flat plates.

#CONDENSE CALCULATOR SERIES#

In the literature, simple models that describe the forced flow condensation of water vapor in the presence of air on a series of vertical flat plates are hard to find. The nature of (water) vapor condensation in the presence of non-condensable gas (NCG) such as air differs significantly from the case with the pure, quiescent vapor condensation. Condensation of humid air is an important process in thermal and process engineering and a subject of many currently research-intensive scientific domains, such as atmospheric water harvesting and seawater desalination.

Condense calculator