Mass Balance in a Single-Stage Evaporator

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration calculates the amount of concentrate and vapor produced by a single-stage evaporator from a given amount of feed. The adjustable parameters are the feed's mass or mass flow rate and the concentrations of the feed and concentrate expressed as mass fractions on a wet basis.
Contributed by: Mark D. Normand, Maria G. Corradini, and Micha Peleg (August 2009)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Degrees Brix (symbol °Bx) is a measure of the dissolved sugar-to-water mass ratio of a liquid.
Snapshot 1: orange juice concentration from 12 °Bx
Snapshot 2: making tomato paste, 28 °Bx, from tomato juice, 4.5 °Bx
Snapshot 3: 1:4 concentration of a solution
This Demonstration calculates the amount of vapor and concentrate produced by a single-stage evaporator. The adjustable parameters are the feed, expressed in terms of total mass or mass flow rate units, and the concentrations of the feed and concentrate, expressed as mass fractions on a wet weight basis. The mass balance is based on solving the equation , where
and
are the amount or flow rate of the concentrate and the feed, respectively.
and
are the concentrations of the feed and concentrate, respectively. The amount or flow rate of the vapor,
, is calculated from
.
The ,
, and
values are entered with sliders and the Demonstration calculates and displays the corresponding values of
and
. The Demonstration also plots
versus
and
versus
for the current values of
and
. The current values of
and
corresponding to the chosen
are marked as purple dots on the plots. The maximum limit on the
axis may also be set with a slider.
References
[1] R. L. Earle and M. D. Earle, Unit Operations in Food Processing, NZIFST, Inc., 1983.
[2] M. Karel and D. B. Lund, Physical Principles of Food Preservation, 2nd ed., New York: Marcel Dekker, 2003.
[3] R. T. Toledo, Fundamentals of Food Process Engineering, 3rd ed., New York: Springer, 2007.
[4] R. P. Singh, "Single-Effect Evaporator".
Permanent Citation