Branch off and rejoin a water supply line?

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Will try to explain in words but also took pictures and sketched up my idea.

Remodeling. Adding a second bathtub/shower with secondary rainfall showerhead. (So, bathtub faucet, regular showerhead and an overhead/ceiling rainfall showerhead).

Looking at the scope of the project I decided to run ¾" pipes to the new bathtub faucet then do a tee with ½" to the two showerheads.

Cold water supply is ¾" most of the way, so not a huge issue branching off of that. But... the hot water heater's inlet gets reduced to ½" right before the inlet and the outlet is a ½", and the rest of the house's hot water is ½". I have a relatively small house so i can understand why they did that but now that I'm adding another fixture it is time to move it to ¾".

20210620_185517.jpg


The main hot water branch is pretty inaccessible to try cut and rework the current lines to put in some ¾" x ½"x ¾" tees to the current x lines.

After researching a bit and thinking of ways to tackle this I thought that the easiest things to do, if these are even possibilities (I cannot find it online (maybe it's my lack of plumbing terminology)), would be to:
1.) Change the hot water heater to ¾" inlet and outlet.
2.) Put a ¾" x ¾" x ½" tee right at the water heater's outlet.
And from here either:
3a.) Just run a ¾" line from the new branch to the new shower. (Would the "Balance" be messed up if someone else uses a faucet from the original ½" supply?) OR
3b.) (Sketched a diagram below) Run a new ¾" hot water line parallel to the ½" line, add the ¾" tee to the new shower, and later down the line tee to a ½" x ¾" x ½" and join them back together. (Extra hot water being used/wasted, yes, but maybe better then the former for balance?)
3c.) (Sketched a diagram below) similar to above but cap off the ½" line at/near the water heater, run the ¾" pipe parallel as the main supply for the feed, and join them back together where it is easy to access.

20210620_194823.jpg


Ideally, I know I should rip out the walls and ceilings to just have one ¾" supply with everything feeding from it, but... Do I have to rip it all out? Does one of my shortcut ideas work?
 

Storm rider

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I am not a plumber, but I was faced with something similar in a 100 year old house I co-own with my grandson. I did as you have suggested in your 1, 2, and 3a scenario, and it works well.
 

wwhitney

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3/4 pipe can carry about 3x the volume that a 1/2 pipe carries.
Interesting question, depends on the exact ID of the type of pipe. For copper type L, I get 2.5x the flow rate for a given pressure drop.

[Hazen Williams formula has flow Q to the 1.85 power and diameter d to the 4.87. The diameter ratio is 0.745/0.527; raising that to the (4.87/1.85) power gives 2.5.]

Cheers, Wayne
 

Jeff H Young

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It probably works ok, but its a substandard plumbing job. As long as you know that and it doesn't bug you no big deal . No emergency though
 
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