Backwash Water Volume

Vbw=vb A tV_{bw} = v_b \, A \, t

Worked example: 125 m3 wash at 900 m/d for 8 min → 25 m2 bed — press Try an example to run it live, then adjust anything.

Enter your known values, leave one input blank, and solves for the missing one. Tap a variable’s symbol to see what it means, with a typical value. Try different units for next level excitement!

Here the solver did the work — could you?

The filter run →

UniversityProcess & Water Chemistry

Test your skills in the Exam Room: new numbers every attempt — free lessons for students, no sign-up, just pure learning.

See your Report Card
Compete with your friends
share your results
Learning zone

Backwash Water Volume explained

vbtVbwA

A backwash is a rise rate multiplied by an area multiplied by a clock. Fifteen gallons per minute per square foot over a 400 ft² filter is 6000 gpm, and ten minutes of that is 60,000 gallons of finished water sent to the washwater tank — a real and recurring cost, since that water was already coagulated, settled, filtered and often chlorinated before you turned it around and threw it up through the bed.

The rate is chosen to fluidise the media by 20–50% bed expansion, and it is temperature-dependent because cold water is more viscous and lifts harder: a rate set on an August afternoon can wash anthracite over the troughs in January. Two field checks are worth more than any calculation. First, measure the expansion with a clamped-on scoop rather than trusting the design figure. Second, keep the backwash percentage — this volume divided by the volume filtered in the run — down around 2%; anything above 4–5% usually means the run is being cut short by breakthrough or head loss, and the fix is upstream in the coagulation, not in the backwash valve.

Backwash Water Volume formula

Vbw=vb A tV_{bw} = v_b \, A \, t
Where
  • VbwV_{bw}= Backwash water volume (L)
  • vbv_b= Backwash rate (m/d)
  • AA= Filter bed area (m²)
  • tt= Backwash duration (min)